Details

Time bar (total: 5.4s)

sample13.0ms

Algorithm
intervals
Results
5.0ms243×body80valid
0.0ms4×body1280valid
0.0ms3×body640valid
0.0ms2×body2560valid
0.0ms3×body320valid
0.0ms1×body160valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1108
2118
done118

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
6.0ms
(+ x (/ (fabs (- y x)) 2.0))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify1.4s

Counts
15 → 15
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
031195
184187
2182171
3425171
41034171
52890171
done5000171

prune36.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))
0.0b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.0b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.4b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity sqrt-prod
28×add-sqr-sqrt
21×pow1
16×sqrt-div
14×add-cube-cbrt
11×swap-sqr
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
7.0ms
(+ x (/ (fabs (- y x)) 2.0))
11.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
11.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
54.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series131.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ x (/ (fabs (- y x)) 2.0))
46.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
49.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify484.0ms

Counts
118 → 118
Iterations

Useful iterations: done (480.0ms)

IterNodesCost
01292569
12741845
29591711
done50001703

prune209.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
0.3b
(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
17×associate-*r*
16×add-sqr-sqrt
14×sqrt-div
12×cbrt-prod add-cube-cbrt sqrt-prod
11×pow1 add-exp-log add-cbrt-cube
10×cbrt-div associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod distribute-lft-out add-log-exp
2×pow1/3 associate-*l/ *-commutative unswap-sqr
Counts
4 → 86
Calls
4 calls:
56.0ms
(* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
27.0ms
(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series269.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
75.0ms
(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
63.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
54.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify731.0ms

Counts
98 → 98
Iterations

Useful iterations: done (727.0ms)

IterNodesCost
02543374
16453152
222622896
done50012894

prune358.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 3))
0.7b
(pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 3)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod
28×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
14×unpow-prod-down cube-prod
10×cbrt-div
6×distribute-lft-out
5×pow1 add-exp-log
4×cube-div flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
3×pow-unpow
2×cube-mult pow-pow unpow3 sqr-pow
1×pow-to-exp pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 93
Calls
4 calls:
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
13.0ms
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 3))
13.0ms
(pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 3)

series285.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
50.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
54.0ms
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 3))
128.0ms
(pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 3)

simplify460.0ms

Counts
105 → 105
Iterations

Useful iterations: done (457.0ms)

IterNodesCost
01462298
13671894
211351720
done50001714

prune310.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes82.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample295.0ms

Algorithm
intervals
Results
146.0ms7690×body80valid
9.0ms108×body1280valid
6.0ms82×body640valid
5.0ms49×body2560valid
5.0ms23×body160valid
3.0ms49×body320valid