Details

Time bar (total: 23.6s)

sample162.0ms

Algorithm
intervals
Results
51.0ms156×body160valid
34.0ms278×body80nan
29.0ms534×pre80true
18.0ms45×body320valid
8.0ms55×body80valid

simplify114.0ms

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.2b

localize43.0ms

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)
39.2b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite41.0ms

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))
2.0ms
(sqrt (fma b b (* (* a -4) c)))
18.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
17.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series679.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(fma b b (* (* a -4) c))
96.0ms
(sqrt (fma b b (* (* a -4) c)))
142.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
379.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.2s

Counts
126 → 126
Iterations
IterNodes
32589
2949
1405
0180

prune1.6s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.1b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune64.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.1b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:
22.0ms
(/ (* -2 (/ (* a c) b)) a)
9.0ms
(/ (* a c) b)

series54.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (* -2 (/ (* a c) b)) a)
22.0ms
(/ (* a c) b)

simplify2.7s

Counts
59 → 59
Iterations
IterNodes
36739
21081
1265
0103

prune623.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 5.1b

localize29.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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:
35.0ms
(/ (* -2 (* a c)) (* a b))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ (* -2 (* a c)) (* a b))

simplify10.0s

Counts
31 → 31
Iterations
IterNodes
314092
21337
1220
070

prune201.0ms

Pruning

27 alts after pruning (25 fresh and 2 done)

Merged error: 5.1b

regimes516.0ms

Accuracy

13% (6.0b remaining)

Error of 11.0b against oracle of 5.0b and baseline of 11.9b

bsearch37.0ms

Steps
ItersRangePoint
2
5.2737518596891653e-05
5.832957080902451e-05
5.343652512340826e-05

simplify5.0ms

Iterations
IterNodes
229
129
024

end0.0ms

sample5.3s

Algorithm
intervals
Results
1.7s4858×body160valid
1.2s8382×body80nan
979.0ms16382×pre80true
611.0ms1360×body320valid
218.0ms1782×body80valid