Details

Time bar (total: 17.5s)

sample202.0ms

Algorithm
intervals
Results
58.0ms541×pre80true
26.0ms111×body320valid
21.0ms285×body80nan
16.0ms94×body160valid
5.0ms17×body640valid
3.0ms34×body80valid

simplify102.0ms

Counts
1 → 1
Iterations
IterNodes
done111
5111
4102
378
244
124
014

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.9b

localize38.0ms

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

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
121×add-sqr-sqrt
94×*-un-lft-identity
68×add-cube-cbrt
26×difference-of-squares
22×associate-/l*
16×sqrt-prod
13×distribute-lft-out--
9×add-cbrt-cube add-exp-log
8×add-log-exp
5×pow1 div-inv
3×cbrt-undiv associate-/r* flip3-- div-exp flip--
2×sub-neg sqrt-div diff-log div-sub
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 149
Calls
4 calls:
9.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
14.0ms
(- (* b b) (* (* c a) 4.0))
112.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
80.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series460.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
65.0ms
(- (* b b) (* (* c a) 4.0))
139.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
142.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.5s

Counts
161 → 161
Iterations
IterNodes
done5002
23057
1692
0280

prune972.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.7b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune57.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.7b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
954×times-frac
380×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
88×associate-/l*
59×div-inv
37×add-cbrt-cube add-exp-log
21×cbrt-undiv div-exp
13×associate-/r/
11×associate-/r*
3×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp
1×associate-/l/
Counts
3 → 421
Calls
3 calls:
38.0ms
(/ (/ (/ -2.0 (/ b (* c a))) 2.0) a)
6.0ms
(/ b (* c a))
9.0ms
(/ -2.0 (/ b (* c a)))

series97.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (/ (/ -2.0 (/ b (* c a))) 2.0) a)
32.0ms
(/ b (* c a))
40.0ms
(/ -2.0 (/ b (* c a)))

simplify1.2s

Counts
430 → 430
Iterations
IterNodes
done5001
12287
0877

prune2.9s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.7b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
954×times-frac
380×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
88×associate-/l*
59×div-inv
37×add-cbrt-cube add-exp-log
21×cbrt-undiv div-exp
13×associate-/r/
11×associate-/r*
3×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp
1×associate-/l/
Counts
3 → 421
Calls
3 calls:
67.0ms
(/ (/ (/ -2.0 (/ b (* c a))) 2.0) a)
11.0ms
(/ b (* c a))
17.0ms
(/ -2.0 (/ b (* c a)))

series100.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(/ (/ (/ -2.0 (/ b (* c a))) 2.0) a)
29.0ms
(/ b (* c a))
55.0ms
(/ -2.0 (/ b (* c a)))

simplify1.3s

Counts
430 → 430
Iterations
IterNodes
done5001
12287
0877

prune2.6s

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 2.7b

regimes498.0ms

Accuracy

0% (3.6b remaining)

Error of 6.2b against oracle of 2.6b and baseline of 6.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.6s3696×body320valid
1.0s16178×pre80true
714.0ms8178×body80nan
546.0ms2870×body160valid
259.0ms525×body640valid
70.0ms909×body80valid