Details

Time bar (total: 17.7s)

sample148.0ms

Algorithm
intervals
Results
38.0ms288×body80nan
29.0ms149×body160valid
20.0ms544×pre80true
17.0ms58×body320valid
5.0ms49×body80valid

simplify210.0ms

Counts
1 → 1
Iterations
IterNodes
done97
797
696
594
486
371
242
124
014

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.8b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(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))
38.8b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite310.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-log-exp
7×add-cube-cbrt
6×times-frac sqrt-prod associate-/l* difference-of-squares
5×pow1
4×flip3-- flip--
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 72
Calls
4 calls:
18.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
15.0ms
(- (* b b) (* (* c a) 4.0))
179.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) (* 2.0 a))
86.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series562.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
93.0ms
(- (* b b) (* (* c a) 4.0))
189.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) (* 2.0 a))
153.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify2.2s

Counts
84 → 84
Iterations
IterNodes
done5006
21314
1399
0154

prune826.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.4b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune122.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.4b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×pow1 frac-2neg clear-num div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 51
Calls
2 calls:
55.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
21.0ms
(/ (* a c) b)

series76.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))
39.0ms
(/ (* a c) b)

simplify2.3s

Counts
57 → 57
Iterations
IterNodes
done5013
22001
1327
0107

prune548.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 4.3b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
44×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
39×add-exp-log add-cbrt-cube
17×cbrt-undiv div-exp
14×associate-/r*
10×prod-exp cbrt-unprod
6×div-inv
4×associate-/l*
2×pow1 frac-2neg clear-num add-log-exp
1×associate-*r/ associate-/r/ associate-/l/
Counts
2 → 100
Calls
2 calls:
19.0ms
(/ a (/ b c))
43.0ms
(/ (* -2.0 (/ a (/ b c))) (* 2.0 a))

series116.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ a (/ b c))
47.0ms
(/ (* -2.0 (/ a (/ b c))) (* 2.0 a))

simplify2.7s

Counts
106 → 106
Iterations
IterNodes
done5056
22419
1567
0210

prune805.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 4.3b

regimes1.2s

Accuracy

15.1% (5.9b remaining)

Error of 11.1b against oracle of 5.2b and baseline of 12.1b

bsearch66.0ms

Steps
ItersRangePoint
3
8.811935278252425e-05
0.00011572818137097542
8.984490456930244e-05

simplify10.0ms

Iterations
IterNodes
done34
134
025

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.8s16391×pre80true
1.1s4855×body160valid
981.0ms8391×body80nan
370.0ms1317×body320valid
213.0ms1828×body80valid