Details

Time bar (total: 15.2s)

sample94.0ms

Algorithm
intervals
Results
27.0ms140×body160valid
16.0ms261×body80nan
13.0ms517×pre80true
7.0ms116×body80valid

simplify63.0ms

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

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.2b
(- (* b b) (* (* c a) 4.0))
0.2b
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
29.3b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite190.0ms

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--
add-cbrt-cube add-exp-log
add-log-exp
pow1 div-inv
cbrt-undiv associate-/r* flip3-- div-exp flip--
sub-neg sqrt-div diff-log div-sub
rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 149
Calls
4 calls:
13.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
10.0ms
(- (* b b) (* (* c a) 4.0))
104.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
50.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series402.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
79.0ms
(- (* b b) (* (* c a) 4.0))
117.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
107.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.8s

Counts
161 → 161
Iterations
IterNodes
done5002
23057
1692
0280

prune1.1s

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 9.3b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune176.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 9.3b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.2b
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-cbrt-cube add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-undiv div-exp
associate-/l*
associate-/r* div-inv
prod-exp cbrt-unprod
pow1 clear-num frac-2neg add-log-exp
associate-/l/
Counts
2 → 73
Calls
2 calls:
13.0ms
(/ (* a c) b)
32.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

series69.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (* a c) b)
40.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

simplify1.5s

Counts
79 → 79
Iterations
IterNodes
done5002
22917
1460
0167

prune687.0ms

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 9.2b

localize28.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)
0.3b
(/ b (* a c))
0.3b
(/ 1 (/ b (* a c)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
86×add-exp-log
69×times-frac
49×div-exp
44×add-cbrt-cube
37×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
23×cbrt-undiv
17×prod-exp
13×associate-/l*
11×associate-/r* div-inv
cbrt-unprod
rec-exp 1-exp
pow1
clear-num frac-2neg add-log-exp
associate-/r/ pow-flip inv-pow associate-/l/
Counts
3 → 137
Calls
3 calls:
53.0ms
(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)
10.0ms
(/ b (* a c))
21.0ms
(/ 1 (/ b (* a c)))

series100.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)
36.0ms
(/ b (* a c))
36.0ms
(/ 1 (/ b (* a c)))

simplify2.4s

Counts
146 → 146
Iterations
IterNodes
done5001
24515
1712
0260

prune631.0ms

Pruning

43 alts after pruning (42 fresh and 1 done)

Merged error: 9.2b

regimes1.5s

Accuracy

42.8% (7.7b remaining)

Error of 17.0b against oracle of 9.3b and baseline of 22.8b

bsearch25.0ms

Steps
ItersRangePoint
0
2072.609825166481
2177.5484668538597
2125.0791460101705
0
248.9628020274003
252.65350759806194
250.80815481273112
1
52.78857874562935
56.54518336069951
53.72772989939689

simplify18.0ms

Iterations
IterNodes
done48
348
245
142
031

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.3s4454×body160valid
1.1s8619×body80nan
674.0ms16619×pre80true
338.0ms3546×body80valid