Details

Time bar (total: 14.5s)

sample130.0ms

Algorithm
intervals
Results
36.0ms261×body80nan
24.0ms140×body160valid
18.0ms517×pre80true
11.0ms116×body80valid

simplify104.0ms

Counts
1 → 1
Iterations
IterNodes
done128
5128
4119
386
246
125
014

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 c) a)))
0.2b
(- (* b b) (* (* 4.0 c) a))
0.2b
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
29.3b
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

rewrite206.0ms

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-- 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 → 118
Calls
4 calls:
9.0ms
(sqrt (- (* b b) (* (* 4.0 c) a)))
11.0ms
(- (* b b) (* (* 4.0 c) a))
124.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
58.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

series443.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(sqrt (- (* b b) (* (* 4.0 c) a)))
82.0ms
(- (* b b) (* (* 4.0 c) a))
127.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
107.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

simplify2.6s

Counts
130 → 130
Iterations
IterNodes
done5000
22179
1509
0198

prune742.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 9.1b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune124.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 9.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
8×cbrt-undiv div-exp
6×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
5×prod-exp cbrt-unprod
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 51
Calls
2 calls:
16.0ms
(/ (* a c) b)
16.0ms
(/ (* -2.0 (/ (* a c) b)) a)

series48.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* a c) b)
23.0ms
(/ (* -2.0 (/ (* a c) b)) a)

simplify1.4s

Counts
57 → 57
Iterations
IterNodes
done5000
21941
1281
0101

prune519.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 9.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
87×times-frac
62×*-un-lft-identity add-cube-cbrt
48×sqrt-prod
45×add-cbrt-cube add-exp-log
22×associate-*r* associate-*l*
16×cbrt-undiv div-exp
15×associate-/r*
13×prod-exp cbrt-unprod
9×unswap-sqr
7×associate-/l*
6×pow1
5×associate-*r/ div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-/l/
2×frac-times associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 191
Calls
4 calls:
57.0ms
(/ (* -2.0 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
9.0ms
(/ c (sqrt b))
9.0ms
(/ a (sqrt b))
43.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

series220.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ (* -2.0 (* (/ a (sqrt b)) (/ c (sqrt b)))) a)
66.0ms
(/ c (sqrt b))
54.0ms
(/ a (sqrt b))
48.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

simplify1.3s

Counts
203 → 203
Iterations
IterNodes
done5000
1881
0293

prune1.1s

Pruning

41 alts after pruning (40 fresh and 1 done)

Merged error: 9.0b

regimes1.3s

Accuracy

42.3% (7.9b remaining)

Error of 17.0b against oracle of 9.2b and baseline of 22.8b

bsearch13.0ms

Steps
ItersRangePoint
0
2072.609825166481
2177.5484668538597
2125.0791460101705
0
248.9628020274003
252.65350759806194
250.80815481273112
1
52.78857874562935
56.54518336069951
53.72772989939689

simplify19.0ms

Iterations
IterNodes
done46
346
243
140
031

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.1s8619×body80nan
804.0ms4454×body160valid
802.0ms16619×pre80true
361.0ms3546×body80valid