Details

Time bar (total: 22.3s)

sample133.0ms

Algorithm
intervals
Results
31.0ms288×body80nan
30.0ms131×body160valid
25.0ms544×pre80true
24.0ms125×body80valid

simplify113.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.3b

localize23.0ms

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)))
0.3b
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
26.2b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite27.0ms

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)))
16.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
8.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series419.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(fma b b (* (* a -4) c))
114.0ms
(sqrt (fma b b (* (* a -4) c)))
139.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
101.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.0s

Counts
126 → 126
Iterations
IterNodes
32593
2949
1407
0180

prune1.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.1b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune95.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 8.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:
31.0ms
(/ (* -2 (/ (* a c) b)) a)
14.0ms
(/ (* a c) b)

series72.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (* -2 (/ (* a c) b)) a)
44.0ms
(/ (* a c) b)

simplify2.4s

Counts
59 → 59
Iterations
IterNodes
36707
21077
1267
0103

prune685.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 8.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (* -2 (* a c)) (* a b))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
22×add-cbrt-cube add-exp-log
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
1×add-sqr-sqrt expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 28
Calls
1 calls:
24.0ms
(/ (* -2 (* a c)) (* a b))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (* -2 (* a c)) (* a b))

simplify9.9s

Counts
31 → 31
Iterations
IterNodes
314520
21343
1222
070

prune227.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 8.0b

regimes758.0ms

Accuracy

49.1% (7.1b remaining)

Error of 16.3b against oracle of 9.1b and baseline of 23.1b

bsearch23.0ms

Steps
ItersRangePoint
1
1960.6498567774931
2064.90294852409
1984.600261148631

simplify10.0ms

Iterations
IterNodes
231
131
025

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.6s4437×body160valid
1.2s8934×body80nan
983.0ms16934×pre80true
563.0ms3563×body80valid