Details

Time bar (total: 8.3s)

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
0911
11511
22211
32610
42910
53010
done3010

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ y (fma (/ x 2.0) y 1.0)))
6.0b
(/ y (fma (/ x 2.0) y 1.0))

rewrite15.0ms

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:
8.0ms
(- x (/ y (fma (/ x 2.0) y 1.0)))
2.0ms
(/ y (fma (/ x 2.0) y 1.0))

series130.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- x (/ y (fma (/ x 2.0) y 1.0)))
83.0ms
(/ y (fma (/ x 2.0) y 1.0))

simplify1.3s

Counts
94 → 94
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02023491
14673104
213732276
done50002095

prune195.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

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))
6.0b
(/ (fma (/ x 2.0) y 1.0) y)

rewrite54.0ms

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:
24.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
6.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
2.0ms
(/ (fma (/ x 2.0) y 1.0) y)

series188.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
81.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
59.0ms
(/ (fma (/ x 2.0) y 1.0) y)

simplify1.5s

Counts
272 → 272
Iterations

Useful iterations: done (1.4s)

IterNodesCost
051613640
1127211229
224658165
done50008156

prune346.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)))

rewrite15.0ms

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:
8.0ms
(- x (/ 1 (fma x 0.5 (/ 1.0 y))))
0.0ms
(fma x 0.5 (/ 1.0 y))
2.0ms
(/ 1 (fma x 0.5 (/ 1.0 y)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- x (/ 1 (fma x 0.5 (/ 1.0 y))))
40.0ms
(fma x 0.5 (/ 1.0 y))
55.0ms
(/ 1 (fma x 0.5 (/ 1.0 y)))

simplify1.7s

Counts
113 → 113
Iterations

Useful iterations: 3 (963.0ms)

IterNodesCost
02043658
14572921
29692114
330482013
done50002013

prune169.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

2.5b
(/ y (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))))
6.2b
(cbrt (fma (/ x 2.0) y 1.0))
6.2b
(cbrt (fma (/ x 2.0) y 1.0))
6.2b
(cbrt (fma (/ x 2.0) y 1.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 62
Calls
4 calls:
4.0ms
(/ y (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))))
0.0ms
(cbrt (fma (/ x 2.0) y 1.0))
1.0ms
(cbrt (fma (/ x 2.0) y 1.0))
1.0ms
(cbrt (fma (/ x 2.0) y 1.0))

series1.3s

Counts
4 → 12
Calls
4 calls:
470.0ms
(/ y (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))))
271.0ms
(cbrt (fma (/ x 2.0) y 1.0))
275.0ms
(cbrt (fma (/ x 2.0) y 1.0))
269.0ms
(cbrt (fma (/ x 2.0) y 1.0))

simplify594.0ms

Counts
74 → 74
Iterations

Useful iterations: done (591.0ms)

IterNodesCost
01491573
13681497
211641359
done50001292

prune257.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
done810

end0.0ms

sample339.0ms

Algorithm
intervals
Results
212.0ms7999×body80valid
0.0ms1×body1280valid