Details

Time bar (total: 29.8s)

sample44.0ms

Algorithm
intervals
Results
14.0ms245×body80valid
1.0ms3×body640valid
1.0ms4×body320valid
1.0ms2×body2560valid
0.0ms1×body1280valid
0.0ms1×body160valid

simplify27.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×add-sqr-sqrt pow1 +-commutative sum-log flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16 distribute-lft-out
Counts
1 → 13
Calls
1 calls:
29.0ms
(+ x (/ (fabs (- y x)) 2.0))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify5.6s

Counts
16 → 16
Iterations
IterNodes
done5002
52890
41200
3498
2214
185
032

prune201.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
156.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
13.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
22.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
13.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series806.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
190.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
198.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
215.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify4.7s

Counts
111 → 111
Iterations
IterNodes
done5003
32570
21002
1394
0162

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize146.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
0.6b
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
20×cbrt-prod
14×*-un-lft-identity
9×flip3-+ flip-+
8×add-sqr-sqrt add-cube-cbrt
4×frac-times pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
3×distribute-lft-out
2×associate-*l/ associate-*r/
Counts
4 → 66
Calls
4 calls:
21.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
18.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
42.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
13.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series780.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
189.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
238.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
171.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify5.9s

Counts
78 → 78
Iterations
IterNodes
done5000
34001
21298
1470
0216

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize217.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
0.6b
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
0.6b
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-div
19×flip3-+ flip-+
12×frac-times
7×cbrt-prod *-un-lft-identity
6×associate-*l/ associate-*r/
5×add-sqr-sqrt add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
1×distribute-lft-out
Counts
4 → 69
Calls
4 calls:
18.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
41.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
43.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
65.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

series862.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
206.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
249.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
229.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify4.5s

Counts
81 → 81
Iterations
IterNodes
done5000
32694
2926
1345
0160

prune1.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes624.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample679.0ms

Algorithm
intervals
Results
364.0ms7709×body80valid
15.0ms96×body1280valid
14.0ms84×body640valid
8.0ms39×body2560valid
5.0ms51×body320valid
2.0ms22×body160valid