Details

Time bar (total: 9.4s)

sample29.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
0911
11511
22211
32610
42910
53010
done3010

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ y (fma (/ x 2.0) y 1.0)))
6.4b
(/ y (fma (/ x 2.0) y 1.0))

rewrite37.0ms

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-exp-log add-cbrt-cube div-inv add-log-exp
3×fma-neg associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- distribute-lft-out--
Counts
2 → 88
Calls
2 calls:
22.0ms
(- x (/ y (fma (/ x 2.0) y 1.0)))
8.0ms
(/ y (fma (/ x 2.0) y 1.0))

series152.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(- x (/ y (fma (/ x 2.0) y 1.0)))
102.0ms
(/ y (fma (/ x 2.0) y 1.0))

simplify2.1s

Counts
94 → 94
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02023491
15033110
222822333
done50001779

prune252.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y (/ 1 (fma (/ x 2.0) y 1.0))))
0.6b
(/ 1 (fma (/ x 2.0) y 1.0))
5.7b
(* y (/ 1 (fma (/ x 2.0) y 1.0)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
16×add-exp-log
13×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp
3×expm1-log1p-u fma-neg associate-*l* prod-diff associate-/r* log1p-expm1-u associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg flip3-- pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative flip-- inv-pow
Counts
3 → 91
Calls
3 calls:
6.0ms
(- x (* y (/ 1 (fma (/ x 2.0) y 1.0))))
6.0ms
(/ 1 (fma (/ x 2.0) y 1.0))
20.0ms
(* y (/ 1 (fma (/ x 2.0) y 1.0)))

series257.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- x (* y (/ 1 (fma (/ x 2.0) y 1.0))))
93.0ms
(/ 1 (fma (/ x 2.0) y 1.0))
102.0ms
(* y (/ 1 (fma (/ x 2.0) y 1.0)))

simplify1.7s

Counts
100 → 100
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01681559
14101401
219291194
done50001186

prune289.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
0.1b
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
6.3b
(/ (fma (/ x 2.0) y 1.0) y)

rewrite81.0ms

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×add-exp-log associate-/r*
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 frac-2neg 1-exp clear-num distribute-lft-out--
1×sub-neg flip3-- pow-flip diff-log flip-- inv-pow
Counts
3 → 263
Calls
3 calls:
38.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
15.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
11.0ms
(/ (fma (/ x 2.0) y 1.0) y)

series220.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
82.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
77.0ms
(/ (fma (/ x 2.0) y 1.0) y)

simplify728.0ms

Counts
272 → 272
Iterations

Useful iterations: done (709.0ms)

IterNodesCost
051613640
1137511231
done50018692

prune579.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (fma x 0.5 (/ 1.0 y))))
0.0b
(fma x 0.5 (/ 1.0 y))
0.1b
(/ 1 (fma x 0.5 (/ 1.0 y)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
50×*-un-lft-identity
46×add-cube-cbrt
39×prod-diff
38×times-frac
7×add-exp-log
5×add-cbrt-cube div-inv add-log-exp
4×pow1
3×expm1-log1p-u fma-neg associate-/r* log1p-expm1-u associate-/l* difference-of-squares
2×div-exp distribute-lft-out--
1×cbrt-undiv sub-neg rec-exp flip3-- pow-flip frac-2neg diff-log 1-exp clear-num flip-- fma-udef inv-pow
Counts
3 → 104
Calls
3 calls:
27.0ms
(- x (/ 1 (fma x 0.5 (/ 1.0 y))))
1.0ms
(fma x 0.5 (/ 1.0 y))
11.0ms
(/ 1 (fma x 0.5 (/ 1.0 y)))

series170.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- x (/ 1 (fma x 0.5 (/ 1.0 y))))
46.0ms
(fma x 0.5 (/ 1.0 y))
86.0ms
(/ 1 (fma x 0.5 (/ 1.0 y)))

simplify1.6s

Counts
113 → 113
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02043658
14852923
218922118
done50001880

prune196.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11312
done1312

end0.0ms

sample833.0ms

Algorithm
intervals
Results
528.0ms8000×body80valid