Details

Time bar (total: 8.6s)

sample20.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
2.0ms93×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: 19.8b

localize10.0ms

Local error

Found 1 expressions with local error:

19.8b
(sqrt (fma x x y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 *-un-lft-identity add-cube-cbrt
1×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:
2.0ms
(sqrt (fma x x y))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(sqrt (fma x x y))

simplify2.8s

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

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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:
0.0ms
(fma (/ 1/2 x) y x)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(fma (/ 1/2 x) y x)

simplify2.2s

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

prune54.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ -1/2 (/ x y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/r*
6×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×expm1-log1p-u pow1 clear-num frac-2neg associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 73
Calls
1 calls:
8.0ms
(/ -1/2 (/ x y))

series21.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(/ -1/2 (/ x y))

simplify1.7s

Counts
76 → 76
Iterations
IterNodes
done5010
33435
21047
1375
0153

prune305.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes111.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 19.8b

bsearch52.0ms

Steps
ItersRangePoint
7
1.4840184546072852e+108
2.0415539430385264e+110
1.666665935899027e+110
9
-1.6602605836509326e+158
-4.0079506149788206e+150
-3.187498495601377e+152

simplify3.0ms

Iterations
IterNodes
done17
017

end0.0ms

sample1.1s

Algorithm
intervals
Results
803.0ms8000×body80valid
93.0ms2640×body80nan