Details

Time bar (total: 12.4s)

sample130.0ms

Algorithm
intervals
Results
35.0ms516×pre80true
29.0ms156×body160valid
22.0ms260×body80nan
14.0ms50×body320valid
4.0ms50×body80valid

simplify103.0ms

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 46.2b

localize33.0ms

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))
40.5b
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite95.0ms

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:
9.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms
(- (* b b) (* (* 4 a) c))
62.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
15.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

series453.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
64.0ms
(- (* b b) (* (* 4 a) c))
169.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
125.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify1.4s

Counts
106 → 106
Iterations
IterNodes
done5000
21454
1435
0166

prune539.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.0b

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

prune59.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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:
24.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
19.0ms
(/ (* a c) b)

series51.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
28.0ms
(/ (* a c) b)

simplify1.5s

Counts
63 → 63
Iterations
IterNodes
done5007
22257
1341
0113

prune310.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 3.9b

localize21.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (* -2 (* a c)) (* (* 2 a) b))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
18×prod-exp cbrt-unprod
9×cbrt-undiv div-exp
1×add-sqr-sqrt expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 34
Calls
1 calls:
32.0ms
(/ (* -2 (* a c)) (* (* 2 a) b))

series42.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(/ (* -2 (* a c)) (* (* 2 a) b))

simplify1.5s

Counts
37 → 37
Iterations
IterNodes
done5014
22204
1292
089

prune88.0ms

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 3.9b

regimes613.0ms

Accuracy

27.8% (4.8b remaining)

Error of 10.0b against oracle of 5.2b and baseline of 11.8b

bsearch3.0ms

simplify8.0ms

Iterations
IterNodes
done44
144
032

end0.0ms

sample5.4s

Algorithm
intervals
Results
1.8s4880×body160valid
1.2s8170×body80nan
1.0s16170×pre80true
611.0ms1367×body320valid
274.0ms1753×body80valid