Details

Time bar (total: 11.1s)

sample148.0ms

Algorithm
intervals
Results
52.0ms144×body160valid
31.0ms313×body80nan
24.0ms569×pre80true
11.0ms39×body320valid
7.0ms73×body80valid

simplify101.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 41.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma b b (* (* a -4) c))
0.1b
(sqrt (fma b b (* (* a -4) c)))
0.2b
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
38.3b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×*-un-lft-identity
30×add-cube-cbrt
20×sqrt-prod
18×times-frac prod-diff
10×difference-of-squares
add-cbrt-cube fma-neg add-exp-log associate-/l* add-log-exp
pow1 distribute-lft-out--
expm1-log1p-u insert-posit16 log1p-expm1-u
associate-/r*
flip3-- flip-- associate-/l/
cbrt-undiv rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-sub div-exp fma-udef div-inv
Counts
4 → 114
Calls
4 calls:
0.0ms
(fma b b (* (* a -4) c))
1.0ms
(sqrt (fma b b (* (* a -4) c)))
17.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
19.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series471.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(fma b b (* (* a -4) c))
110.0ms
(sqrt (fma b b (* (* a -4) c)))
172.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
137.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify598.0ms

Counts
126 → 126
Iterations
IterNodes
done2000
21008
1423
0180

prune587.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.4b

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

prune100.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 5.4b

localize18.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(/ (* -2 (/ (* a c) b)) a)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
cbrt-undiv div-exp
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
prod-exp cbrt-unprod
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 53
Calls
2 calls:
20.0ms
(/ (* a c) b)
34.0ms
(/ (* -2 (/ (* a c) b)) a)

series55.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (* a c) b)
21.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify784.0ms

Counts
59 → 59
Iterations
IterNodes
done2002
21285
1282
0103

prune389.0ms

Pruning

28 alts after pruning (26 fresh and 2 done)

Merged error: 5.4b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
60×sqrt-prod
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
37×add-cbrt-cube add-exp-log
17×cbrt-undiv div-exp
15×associate-/r*
12×associate-/l*
10×div-inv
prod-exp cbrt-unprod
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
associate-/l/
associate-*r/
Counts
3 → 157
Calls
3 calls:
19.0ms
(/ (* a c) (sqrt b))
33.0ms
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) a)
13.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))

series183.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(/ (* a c) (sqrt b))
49.0ms
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) a)
65.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))

simplify526.0ms

Counts
166 → 166
Iterations
IterNodes
done2001
1647
0242

prune644.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.3b

regimes648.0ms

Accuracy

12.9% (6.2b remaining)

Error of 11.3b against oracle of 5.1b and baseline of 12.2b

bsearch58.0ms

Steps
ItersRangePoint
4
0.0015321827282462836
0.00214274672469479
0.0015483000136869431

simplify10.0ms

Iterations
IterNodes
done29
129
024

end0.0ms

sample5.6s

Algorithm
intervals
Results
1.4s4803×body160valid
1.1s8266×body80nan
983.0ms1350×body320valid
944.0ms16266×pre80true
623.0ms1847×body80valid