Details

Time bar (total: 9.0s)

sample25.0ms

Algorithm
intervals
Results
16.0ms247×body80valid
1.0ms4×body640valid
0.0ms2×body1280valid
0.0ms2×body320valid
0.0ms1×body2560valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×expm1-log1p-u pow1 +-commutative sum-log flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
13.0ms
(+ x (/ (fabs (- y x)) 2.0))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify805.0ms

Counts
21 → 21
Iterations
IterNodes
done2000
41455
3564
2235
190
034

prune106.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
7.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
375.0ms
(* (cbrt x) (cbrt x))
254.0ms
(cbrt x)
280.0ms
(cbrt x)
269.0ms
(cbrt x)

simplify791.0ms

Counts
97 → 97
Iterations
IterNodes
done2002
31106
2364
1141
067

prune483.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 59
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))

series1.1s

Counts
4 → 12
Calls
4 calls:
259.0ms
(cbrt x)
206.0ms
(cbrt x)
218.0ms
(cbrt x)
439.0ms
(cbrt (cbrt x))

simplify474.0ms

Counts
71 → 71
Iterations
IterNodes
done2001
4915
3363
2176
183
048

prune397.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
5.0ms
(cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x))))

series1.4s

Counts
4 → 12
Calls
4 calls:
308.0ms
(cbrt (cbrt x))
326.0ms
(cbrt (cbrt x))
365.0ms
(cbrt (cbrt x))
399.0ms
(cbrt (* (cbrt (cbrt x)) (cbrt (cbrt x))))

simplify527.0ms

Counts
75 → 75
Iterations
IterNodes
done2001
4907
3406
2202
1100
058

prune453.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes141.0ms

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
done8
18
07

end0.0ms

sample820.0ms

Algorithm
intervals
Results
493.0ms7705×body80valid
53.0ms103×body1280valid
44.0ms50×body2560valid
38.0ms49×body320valid
18.0ms71×body640valid
3.0ms26×body160valid