Details

Time bar (total: 32.8s)

sample125.0ms

Algorithm
intervals
Results
40.0ms272×body80nan
27.0ms140×body160valid
24.0ms528×pre80true
12.0ms116×body80valid

simplify127.0ms

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.6b

localize27.0ms

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)
28.5b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite49.0ms

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)))
35.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
9.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series503.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(fma b b (* (* a -4) c))
116.0ms
(sqrt (fma b b (* (* a -4) c)))
157.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
150.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify1.4s

Counts
126 → 126
Iterations
IterNodes
32589
2949
1405
0180

prune1.6s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.9b

localize18.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune127.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 8.9b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:
14.0ms
(/ (* a c) b)
18.0ms
(/ (* -2 (/ (* a c) b)) a)

series43.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a c) b)
21.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify3.0s

Counts
59 → 59
Iterations
IterNodes
36399
21058
1267
0103

prune673.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 8.7b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
71×add-exp-log
52×add-sqr-sqrt
43×associate-*r*
41×*-un-lft-identity
40×add-cube-cbrt
36×div-exp
25×add-cbrt-cube
20×prod-exp
10×cbrt-undiv rec-exp 1-exp
7×pow1
6×cbrt-unprod
5×div-inv
4×unswap-sqr
3×associate-*l* associate-/l*
2×expm1-log1p-u pow-prod-down associate-*r/ insert-posit16 log1p-expm1-u pow-flip add-log-exp
1×clear-num associate-/r* frac-2neg associate-/r/ *-commutative inv-pow
Counts
2 → 117
Calls
2 calls:
28.0ms
(* b (/ (/ 1 c) -2))
20.0ms
(/ 1 (* b (/ (/ 1 c) -2)))

series50.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* b (/ (/ 1 c) -2))
28.0ms
(/ 1 (* b (/ (/ 1 c) -2)))

simplify17.4s

Counts
123 → 123
Iterations
IterNodes
34821
21305
1545
0211

prune950.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 8.7b

regimes935.0ms

Accuracy

48.7% (7.3b remaining)

Error of 16.3b against oracle of 9.0b and baseline of 23.3b

bsearch64.0ms

Steps
ItersRangePoint
3
1298.420486427075
1575.0960898183166
1315.7127116390275

simplify10.0ms

Iterations
IterNodes
229
129
024

end0.0ms

sample5.6s

Algorithm
intervals
Results
1.7s4371×body160valid
1.2s8566×body80nan
1.1s16566×pre80true
577.0ms3629×body80valid