Details

Time bar (total: 10.8s)

sample25.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
3.0ms96×body80nan

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done7
17
05

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize15.0ms

Local error

Found 1 expressions with local error:

16.2b
(sqrt (fma x x y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 *-un-lft-identity add-cube-cbrt
expm1-log1p-u rem-sqrt-square sqrt-pow1 add-cbrt-cube pow1/2 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 16
Calls
1 calls:
3.0ms
(sqrt (fma x x y))

series85.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(sqrt (fma x x y))

simplify3.3s

Counts
19 → 19
Iterations
IterNodes
done5037
53090
41109
3437
2175
177
038

prune81.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ -1/2 (/ x y)) x)
0.7b
(/ -1/2 (/ x y))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
342×times-frac
237×add-sqr-sqrt
230×*-un-lft-identity
228×add-cube-cbrt
132×prod-diff
44×fma-neg
21×div-inv
13×associate-/r*
add-cbrt-cube add-exp-log
associate-/r/
add-log-exp
cbrt-undiv div-exp associate-/l* difference-of-squares
expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
clear-num sub-neg frac-2neg flip3-- diff-log flip-- distribute-lft-out--
Counts
2 → 268
Calls
2 calls:
36.0ms
(- (/ -1/2 (/ x y)) x)
11.0ms
(/ -1/2 (/ x y))

series78.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (/ -1/2 (/ x y)) x)
32.0ms
(/ -1/2 (/ x y))

simplify2.2s

Counts
274 → 274
Iterations
IterNodes
done5000
22087
1804
0329

prune790.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ 1/2 x) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
1.0ms
(fma (/ 1/2 x) y x)

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(fma (/ 1/2 x) y x)

simplify2.8s

Counts
14 → 14
Iterations
IterNodes
done5000
52926
4662
3163
249
125
019

prune63.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

97.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 19.6b

bsearch96.0ms

Steps
ItersRangePoint
8
1.514115744383235e+64
1.0077232000722927e+68
9.943288082924311e+67
9
-3.59454624536844e+155
-4.448318838164251e+147
-1.3262598264970426e+154

simplify2.0ms

Iterations
IterNodes
done17
017

end0.0ms

sample1.0s

Algorithm
intervals
Results
593.0ms8000×body80valid
187.0ms2731×body80nan