Details

Time bar (total: 38.3s)

sample374.0ms

Algorithm
intervals
Results
68.0ms82×body80nan
52.0ms31×body2560valid
22.0ms35×body1280valid
20.0ms174×body80valid
13.0ms20×body640valid
4.0ms5×body5120valid
3.0ms8×body320valid
1.0ms2×body160valid

simplify298.0ms

Counts
1 → 1
Iterations
IterNodes
done34
534
432
330
223
115
010

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.4b

localize265.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
0.4b
(- (* b_2 b_2) (* a c))
0.9b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
22.0b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite645.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×*-un-lft-identity
30×add-cube-cbrt
20×sqrt-prod
19×prod-diff
18×times-frac
10×difference-of-squares
8×add-log-exp
7×fma-neg
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 122
Calls
4 calls:
316.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
31.0ms
(- (* b_2 b_2) (* a c))
219.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
65.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series483.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
73.0ms
(- (* b_2 b_2) (* a c))
126.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
121.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify3.5s

Counts
134 → 134
Iterations
IterNodes
done5028
21493
1497
0199

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.0b

localize108.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
0.4b
(- (* b_2 b_2) (* a c))
0.9b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
22.0b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite651.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
32×*-un-lft-identity
27×add-cube-cbrt
19×prod-diff
17×sqrt-prod
13×associate-*r* add-exp-log
11×times-frac
9×add-cbrt-cube
8×add-log-exp
7×pow1 fma-neg
6×associate-*l*
5×flip3-- flip--
4×expm1-log1p-u prod-exp insert-posit16 log1p-expm1-u difference-of-squares
3×unswap-sqr
2×frac-times sub-neg sqrt-div diff-log div-exp associate-*l/ cbrt-unprod distribute-lft-out--
1×cbrt-undiv rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative div-inv
Counts
4 → 123
Calls
4 calls:
418.0ms
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
20.0ms
(- (* b_2 b_2) (* a c))
146.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
52.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series520.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
63.0ms
(- (* b_2 b_2) (* a c))
169.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
135.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify8.8s

Counts
135 → 135
Iterations
IterNodes
done5000
34962
21533
1562
0219

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
0.4b
(- (* b_2 b_2) (* a c))
0.9b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
22.0b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite667.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×*-un-lft-identity
30×add-cube-cbrt
20×sqrt-prod
19×prod-diff
18×times-frac
10×difference-of-squares
8×add-log-exp
7×fma-neg
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 122
Calls
4 calls:
335.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
43.0ms
(- (* b_2 b_2) (* a c))
221.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
50.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series590.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
83.0ms
(- (* b_2 b_2) (* a c))
150.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
154.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify3.7s

Counts
134 → 134
Iterations
IterNodes
done5028
21493
1497
0199

prune1.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.0b

localize146.0ms

Local error

Found 4 expressions with local error:

0.9b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.9b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
22.0b
(sqrt (- (* b_2 b_2) (* a c)))
22.0b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite389.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
36×prod-diff
34×add-cube-cbrt
32×sqrt-prod
12×fma-neg
8×add-log-exp
6×pow1
4×expm1-log1p-u flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u flip-- difference-of-squares
2×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log distribute-lft-out--
Counts
4 → 120
Calls
4 calls:
156.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
141.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
51.0ms
(sqrt (- (* b_2 b_2) (* a c)))
25.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series540.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
134.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
127.0ms
(sqrt (- (* b_2 b_2) (* a c)))
106.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify5.9s

Counts
132 → 132
Iterations
IterNodes
done5000
32450
2763
1287
0112

prune1.7s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.0b

regimes964.0ms

Accuracy

85.9% (4.1b remaining)

Error of 9.6b against oracle of 5.5b and baseline of 34.5b

bsearch181.0ms

Steps
ItersRangePoint
6
1.6664801848567985e-94
1.3864776888564433e-93
1.3635892865650846e-93
9
-2.0274263258127503e+155
-2.0044150779320932e+149
-1.585466010660367e+150

simplify21.0ms

Iterations
IterNodes
done25
125
023

end0.0ms

sample3.3s

Algorithm
intervals
Results
878.0ms976×body1280valid
706.0ms1057×body2560valid
609.0ms5746×body80valid
282.0ms2911×body80nan
182.0ms459×body640valid
91.0ms139×body5120valid
63.0ms257×body320valid
22.0ms116×body160valid