Details

Time bar (total: 6.3s)

sample55.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
15.0ms256×pre80true

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done2000
71738
6803
5457
4220
3107
250
123
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize21.0ms

Local error

Found 1 expressions with local error:

19.3b
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
associate-/l/
add-cbrt-cube add-exp-log
frac-times
add-sqr-sqrt associate-/r* *-un-lft-identity flip3-+ times-frac flip3-- add-cube-cbrt flip-+ flip--
cbrt-undiv div-exp associate-*l/ associate-*r/
expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 32
Calls
1 calls:
28.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

series112.0ms

Counts
1 → 3
Calls
1 calls:
112.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

simplify681.0ms

Counts
35 → 35
Iterations
IterNodes
done2000
21202
1236
076

prune166.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (/ (fma x x (* y y)) (* (- x y) (+ y x))))
19.3b
(/ (fma x x (* y y)) (* (- x y) (+ y x)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
41×associate-/r/
28×add-sqr-sqrt *-un-lft-identity add-exp-log add-cube-cbrt
20×frac-times
16×associate-/r* add-cbrt-cube
15×flip3-+ flip3-- flip-+ flip--
14×div-exp
10×associate-*l/ associate-*r/
cbrt-undiv
div-inv associate-/l*
prod-exp
pow1 rec-exp 1-exp
expm1-log1p-u clear-num frac-2neg cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
pow-flip inv-pow
Counts
2 → 123
Calls
2 calls:
53.0ms
(/ 1 (/ (fma x x (* y y)) (* (- x y) (+ y x))))
24.0ms
(/ (fma x x (* y y)) (* (- x y) (+ y x)))

series191.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(/ 1 (/ (fma x x (* y y)) (* (- x y) (+ y x))))
101.0ms
(/ (fma x x (* y y)) (* (- x y) (+ y x)))

simplify568.0ms

Counts
129 → 129
Iterations
IterNodes
done2000
1565
0212

prune468.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.1b

regimes129.0ms

Accuracy

76.4% (4.5b remaining)

Error of 5.0b against oracle of 0.5b and baseline of 19.7b

bsearch236.0ms

Steps
ItersRangePoint
7
3.952725185673483e-178
2.0610646524110457e-176
2.0258790624487682e-176
9
-3.696309529768053e-199
-2.9338593808162835e-205
-3.6548784939791494e-199
8
-6.352748007902326e-185
-5.285063516879211e-188
-5.572350587881258e-188
10
-4.463723097533937e+161
-6.749854855548698e+149
-1.3386474296726014e+154

simplify5.0ms

Iterations
IterNodes
done28
128
024

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.5s8000×body80valid
329.0ms8000×pre80true