Details

Time bar (total: 13.7s)

sample100.0ms

Algorithm
intervals
Results
21.0ms159×body160valid
19.0ms303×body80nan
16.0ms559×pre80true
10.0ms44×body320valid
3.0ms53×body80valid

simplify108.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.9b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 c) a)))
0.2b
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
0.2b
(- (* b b) (* (* 4.0 c) a))
38.3b
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

rewrite223.0ms

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:
15.0ms
(sqrt (- (* b b) (* (* 4.0 c) a)))
120.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
12.0ms
(- (* b b) (* (* 4.0 c) a))
70.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

series433.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(sqrt (- (* b b) (* (* 4.0 c) a)))
124.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
55.0ms
(- (* b b) (* (* 4.0 c) a))
133.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

simplify2.8s

Counts
130 → 130
Iterations
IterNodes
done5000
22182
1509
0198

prune833.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.5b

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

prune111.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.5b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:
37.0ms
(/ (* -2.0 (/ (* a c) b)) a)
16.0ms
(/ (* a c) b)

series65.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* -2.0 (/ (* a c) b)) a)
41.0ms
(/ (* a c) b)

simplify1.5s

Counts
57 → 57
Iterations
IterNodes
done5000
21932
1281
0101

prune449.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.4b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
46×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
21×add-cbrt-cube add-exp-log
16×associate-/r*
10×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
3×prod-exp cbrt-unprod
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
1×associate-*r/ associate-/r/ associate-/l/
Counts
2 → 100
Calls
2 calls:
14.0ms
(/ (* -2.0 (/ a (/ b c))) a)
8.0ms
(/ a (/ b c))

series55.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (* -2.0 (/ a (/ b c))) a)
27.0ms
(/ a (/ b c))

simplify1.4s

Counts
106 → 106
Iterations
IterNodes
done5000
23005
1535
0200

prune546.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 5.4b

regimes909.0ms

Accuracy

8.2% (6.4b remaining)

Error of 11.4b against oracle of 5.0b and baseline of 12.0b

bsearch45.0ms

Steps
ItersRangePoint
4
6.789181744096528e-08
1.2662217397802895e-07
6.961131476357277e-08

simplify7.0ms

Iterations
IterNodes
done38
238
130
023

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.1s8177×body80nan
1.1s4796×body160valid
645.0ms16177×pre80true
388.0ms1358×body320valid
159.0ms1846×body80valid