Details

Time bar (total: 16.0s)

sample448.0ms

Algorithm
intervals
Results
146.0ms292×body80nan
97.0ms124×body320valid
62.0ms89×body160valid
41.0ms548×pre80true
12.0ms21×body640valid
4.0ms22×body80valid

simplify1.0s

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 54.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma b b (* (* a -4) c))
0.0b
(sqrt (fma b b (* (* a -4) c)))
0.1b
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
23.5b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite42.0ms

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
6×add-cbrt-cube fma-neg add-exp-log associate-/l* add-log-exp
5×pow1 distribute-lft-out--
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r*
2×flip3-- flip-- associate-/l/
1×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)
10.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series654.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(fma b b (* (* a -4) c))
109.0ms
(sqrt (fma b b (* (* a -4) c)))
169.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
308.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify2.2s

Counts
126 → 126
Iterations
IterNodes
done5000
33635
21008
1423
0180

prune574.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.1b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune49.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.1b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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 insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 53
Calls
2 calls:
18.0ms
(/ (* a c) b)
32.0ms
(/ (* -2 (/ (* a c) b)) a)

series57.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (* a c) b)
27.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.2s

Counts
59 → 59
Iterations
IterNodes
done5000
21285
1282
0103

prune355.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ b (* a c))
0.3b
(/ 1 (/ b (* a c)))
0.3b
(/ (* -2 (/ 1 (/ b (* a c)))) a)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×times-frac
37×add-cbrt-cube div-exp
23×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×cbrt-undiv prod-exp
11×associate-/r*
7×cbrt-unprod div-inv associate-/l*
6×rec-exp 1-exp
4×pow1
3×expm1-log1p-u clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
2×associate-/l/
1×associate-*r/ associate-/r/ un-div-inv pow-flip inv-pow
Counts
3 → 121
Calls
3 calls:
10.0ms
(/ b (* a c))
13.0ms
(/ 1 (/ b (* a c)))
30.0ms
(/ (* -2 (/ 1 (/ b (* a c)))) a)

series103.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ b (* a c))
41.0ms
(/ 1 (/ b (* a c)))
23.0ms
(/ (* -2 (/ 1 (/ b (* a c)))) a)

simplify1.6s

Counts
130 → 130
Iterations
IterNodes
done5001
21813
1482
0192

prune505.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.0b

regimes430.0ms

Accuracy

0% (3.2b remaining)

Error of 5.8b against oracle of 2.7b and baseline of 5.8b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample6.4s

Algorithm
intervals
Results
1.6s3661×body320valid
1.5s16025×pre80true
1.5s8025×body80nan
986.0ms2972×body160valid
273.0ms510×body640valid
145.0ms857×body80valid