Details

Time bar (total: 17.6s)

sample187.0ms

Algorithm
intervals
Results
51.0ms256×body80nan
41.0ms139×body160valid
31.0ms512×pre80true
23.0ms56×body320valid
10.0ms61×body80valid

simplify111.0ms

Counts
1 → 1
Iterations
IterNodes
8105
7105
6104
5102
494
377
244
125
014

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.0b

localize50.0ms

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)
37.9b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite28.0ms

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)
8.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series413.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(fma b b (* (* a -4) c))
110.0ms
(sqrt (fma b b (* (* a -4) c)))
141.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
96.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.4s

Counts
126 → 126
Iterations
IterNodes
32589
2949
1405
0180

prune682.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.3b

localize17.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune96.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 4.3b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:
9.0ms
(/ (* a c) b)
19.0ms
(/ (* -2 (/ (* a c) b)) a)

series62.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (* a c) b)
28.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify2.7s

Counts
59 → 59
Iterations
IterNodes
36399
21058
1267
0103

prune357.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 4.3b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
1×associate-*r/ associate-/r/ associate-/l/
Counts
2 → 102
Calls
2 calls:
9.0ms
(/ a (/ b c))
21.0ms
(/ (* -2 (/ a (/ b c))) a)

series67.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ a (/ b c))
29.0ms
(/ (* -2 (/ a (/ b c))) a)

simplify3.9s

Counts
108 → 108
Iterations
IterNodes
37139
21751
1506
0202

prune409.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 4.2b

regimes1.2s

Accuracy

6.2% (6.3b remaining)

Error of 11.0b against oracle of 4.8b and baseline of 11.5b

bsearch35.0ms

Steps
ItersRangePoint
2
0.09825587916722509
0.10795645039315663
0.09946845057046652

simplify5.0ms

Iterations
IterNodes
229
129
024

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.0s4809×body160valid
1.2s16275×pre80true
1.1s8275×body80nan
688.0ms1479×body320valid
261.0ms1712×body80valid