Details

Time bar (total: 10.4s)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Iterations
IterNodes
done30
530
429
326
222
115
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ y (fma x (/ y 2.0) 1.0)))
9.1b
(/ y (fma x (/ y 2.0) 1.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
47×*-un-lft-identity
45×add-cube-cbrt
39×prod-diff
37×times-frac
4×add-cbrt-cube add-exp-log div-inv add-log-exp
3×associate-/r* fma-neg associate-/l*
2×expm1-log1p-u pow1 log1p-expm1-u difference-of-squares
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- diff-log div-exp flip-- distribute-lft-out--
Counts
2 → 88
Calls
2 calls:
11.0ms
(- x (/ y (fma x (/ y 2.0) 1.0)))
4.0ms
(/ y (fma x (/ y 2.0) 1.0))

series139.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- x (/ y (fma x (/ y 2.0) 1.0)))
93.0ms
(/ y (fma x (/ y 2.0) 1.0))

simplify2.0s

Counts
94 → 94
Iterations
IterNodes
done5000
22280
1502
0202

prune375.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (/ (fma x (/ y 2.0) 1.0) y)))
0.1b
(/ 1 (/ (fma x (/ y 2.0) 1.0) y))
9.0b
(/ (fma x (/ y 2.0) 1.0) y)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
217×add-sqr-sqrt
208×*-un-lft-identity
203×add-cube-cbrt
132×prod-diff
19×div-inv
16×associate-/r* add-exp-log
10×add-cbrt-cube
8×div-exp
6×associate-/l*
5×add-log-exp difference-of-squares
4×pow1 cbrt-undiv associate-/r/
3×expm1-log1p-u fma-neg log1p-expm1-u
2×rec-exp clear-num frac-2neg 1-exp distribute-lft-out--
1×sub-neg flip3-- diff-log pow-flip flip-- inv-pow
Counts
3 → 263
Calls
3 calls:
33.0ms
(- x (/ 1 (/ (fma x (/ y 2.0) 1.0) y)))
14.0ms
(/ 1 (/ (fma x (/ y 2.0) 1.0) y))
8.0ms
(/ (fma x (/ y 2.0) 1.0) y)

series503.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- x (/ 1 (/ (fma x (/ y 2.0) 1.0) y)))
403.0ms
(/ 1 (/ (fma x (/ y 2.0) 1.0) y))
59.0ms
(/ (fma x (/ y 2.0) 1.0) y)

simplify912.0ms

Counts
272 → 272
Iterations
IterNodes
done5001
11374
0516

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sqrt (fma x (/ y 2.0) 1.0)))
0.1b
(* (/ 1 (sqrt (fma x (/ y 2.0) 1.0))) (/ y (sqrt (fma x (/ y 2.0) 1.0))))
4.5b
(sqrt (fma x (/ y 2.0) 1.0))
4.5b
(sqrt (fma x (/ y 2.0) 1.0))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
30×add-exp-log
22×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×pow1 div-exp
8×prod-exp
6×associate-/r*
5×cbrt-undiv
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×rec-exp sqrt-pow1 pow1/2 1-exp div-inv pow-flip associate-/l*
2×rem-sqrt-square
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative inv-pow
Counts
4 → 162
Calls
4 calls:
9.0ms
(/ 1 (sqrt (fma x (/ y 2.0) 1.0)))
31.0ms
(* (/ 1 (sqrt (fma x (/ y 2.0) 1.0))) (/ y (sqrt (fma x (/ y 2.0) 1.0))))
1.0ms
(sqrt (fma x (/ y 2.0) 1.0))
1.0ms
(sqrt (fma x (/ y 2.0) 1.0))

series549.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(/ 1 (sqrt (fma x (/ y 2.0) 1.0)))
77.0ms
(* (/ 1 (sqrt (fma x (/ y 2.0) 1.0))) (/ y (sqrt (fma x (/ y 2.0) 1.0))))
99.0ms
(sqrt (fma x (/ y 2.0) 1.0))
104.0ms
(sqrt (fma x (/ y 2.0) 1.0))

simplify2.7s

Counts
174 → 174
Iterations
IterNodes
done5000
24492
1675
0228

prune867.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample720.0ms

Algorithm
intervals
Results
485.0ms7998×body80valid
0.0ms2×body2560valid