Details

Time bar (total: 11.5s)

sample81.0ms

Algorithm
intervals
Results
17.0ms149×body160valid
16.0ms523×pre80true
15.0ms267×body80nan
8.0ms46×body320valid
3.0ms61×body80valid

simplify88.0ms

Counts
1 → 1
Iterations
IterNodes
done105
7105
6104
5102
494
377
244
125
014

prune350.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4 a) c)))
0.1b
(- (* b b) (* (* 4 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
38.6b
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
11×add-sqr-sqrt
10×fma-def add-cube-cbrt add-log-exp
9×add-cbrt-cube add-exp-log
6×distribute-rgt-neg-in distribute-lft-out
5×pow1 times-frac associate-/l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×distribute-lft-neg-in sqrt-prod
2×neg-sub0 cbrt-undiv sum-log flip3-+ flip3-- sqrt-div div-exp associate-+l- flip-+ flip-- associate-/l/
1×+-commutative rem-sqrt-square clear-num associate-/r* neg-mul-1 sub-neg frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-sub prod-diff neg-log prod-exp cbrt-unprod div-inv
Counts
4 → 94
Calls
4 calls:
11.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
18.0ms
(- (* b b) (* (* 4 a) c))
77.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
28.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

series382.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
65.0ms
(- (* b b) (* (* 4 a) c))
126.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
85.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify1.3s

Counts
106 → 106
Iterations
IterNodes
done5000
21454
1435
0166

prune512.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.3b

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

prune92.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* -2 (/ (* a c) b)) (* 2 a))
0.3b
(/ (* a c) b)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
39×add-cbrt-cube add-exp-log
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
4×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 57
Calls
2 calls:
34.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
13.0ms
(/ (* a c) b)

series63.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
26.0ms
(/ (* a c) b)

simplify1.6s

Counts
63 → 63
Iterations
IterNodes
done5007
22257
1341
0113

prune311.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 5.2b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 75
Calls
2 calls:
15.0ms
(/ (/ (* a c) b) a)
10.0ms
(/ (* a c) b)

series62.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (/ (* a c) b) a)
46.0ms
(/ (* a c) b)

simplify1.3s

Counts
81 → 81
Iterations
IterNodes
done5001
2999
1305
0123

prune361.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.2b

regimes769.0ms

Accuracy

20.6% (5.3b remaining)

Error of 10.6b against oracle of 5.3b and baseline of 12.0b

bsearch4.0ms

simplify7.0ms

Iterations
IterNodes
done44
144
032

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.1s4872×body160valid
1.0s8089×body80nan
711.0ms16089×pre80true
514.0ms1347×body320valid
238.0ms1781×body80valid