Details

Time bar (total: 15.2s)

sample106.0ms

Algorithm
intervals
Results
40.0ms157×body160valid
16.0ms256×body80nan
14.0ms512×pre80true
7.0ms99×body80valid

simplify85.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize31.0ms

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))
0.3b
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
29.2b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite171.0ms

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:
12.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
10.0ms
(- (* b b) (* (* c a) 4.0))
80.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
57.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series383.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
47.0ms
(- (* b b) (* (* c a) 4.0))
131.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
128.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.8s

Counts
161 → 161
Iterations
IterNodes
done5002
23057
1692
0280

prune1.1s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 10.0b

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

prune137.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 10.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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
8×associate-/l*
6×associate-/r* div-inv
5×prod-exp cbrt-unprod
2×pow1 clear-num frac-2neg add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
15.0ms
(/ (* a c) b)
26.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

series78.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (* a c) b)
46.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

simplify1.6s

Counts
79 → 79
Iterations
IterNodes
done5002
22917
1460
0167

prune592.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 9.9b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(/ (/ (/ (* -2.0 (/ (* a c) b)) 2.0) (sqrt a)) (sqrt a))
0.4b
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) (sqrt a))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
762×times-frac
318×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
312×sqrt-prod
59×div-inv
55×add-cbrt-cube add-exp-log
54×associate-/l*
30×cbrt-undiv div-exp
15×associate-/r*
9×prod-exp cbrt-unprod
3×pow1 clear-num frac-2neg add-log-exp
2×associate-/l/
Counts
3 → 448
Calls
3 calls:
10.0ms
(/ (* a c) b)
53.0ms
(/ (/ (/ (* -2.0 (/ (* a c) b)) 2.0) (sqrt a)) (sqrt a))
25.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) (sqrt a))

series210.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (* a c) b)
77.0ms
(/ (/ (/ (* -2.0 (/ (* a c) b)) 2.0) (sqrt a)) (sqrt a))
97.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) (sqrt a))

simplify1.5s

Counts
457 → 457
Iterations
IterNodes
done5001
11482
0594

prune2.3s

Pruning

42 alts after pruning (41 fresh and 1 done)

Merged error: 9.9b

regimes1.4s

Accuracy

45.2% (7.5b remaining)

Error of 16.6b against oracle of 9.1b and baseline of 22.8b

bsearch28.0ms

Steps
ItersRangePoint
2
242.57376402414687
277.0014588549693
245.56463469956407

simplify12.0ms

Iterations
IterNodes
done33
133
025

end0.0ms

sample3.6s

Algorithm
intervals
Results
891.0ms4481×body160valid
783.0ms3519×body80valid
717.0ms8732×body80nan
646.0ms16732×pre80true