Details

Time bar (total: 12.3s)

sample17.0ms

Algorithm
intervals
Results
6.0ms243×body80valid
0.0ms5×body640valid
0.0ms2×body2560valid
0.0ms2×body160valid
0.0ms2×body1280valid
0.0ms2×body320valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2118
done118

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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:
19.0ms
(+ x (/ (fabs (- y x)) 2.0))

series44.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify1.3s

Counts
15 → 15
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
031195
184187
2215171
3586171
41712171
done5001171

prune50.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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

rewrite162.0ms

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:
11.0ms
(+ x (/ (fabs (- y x)) 2.0))
17.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
26.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
104.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series201.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ x (/ (fabs (- y x)) 2.0))
85.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
61.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify1.4s

Counts
118 → 118
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01292569
13021852
214201711
done50021678

prune412.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x)))
0.1b
(sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x)))
0.3b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x))) (sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x)))))
0.4b
(* (sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x))) (sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x))))

rewrite462.0ms

Algorithm
rewrite-expression-head
Rules
122×sqrt-div
111×sqrt-prod
58×add-sqr-sqrt
43×sqrt-pow1
42×*-un-lft-identity
39×pow1
35×flip3-+ flip-+
32×frac-times
23×pow1/2
22×add-cube-cbrt
18×swap-sqr
17×associate-*l*
16×associate-*r/
12×pow-prod-down
11×add-exp-log associate-*r* add-cbrt-cube unswap-sqr
10×associate-*l/
9×pow-prod-up distribute-lft-out
5×pow-sqr
4×rem-sqrt-square prod-exp cbrt-unprod add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 185
Calls
4 calls:
26.0ms
(sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x)))
45.0ms
(sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x)))
246.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x))) (sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x)))))
134.0ms
(* (sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x))) (sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x))))

series295.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x)))
108.0ms
(sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x)))
32.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x))) (sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x)))))
63.0ms
(* (sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x))) (sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x))))

simplify3.4s

Counts
197 → 197
Iterations

Useful iterations: done (3.4s)

IterNodesCost
02776638
16864535
233494144
done50013905

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite193.0ms

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 add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
146.0ms
(* (cbrt (+ (/ (fabs (- y x)) 2.0) x)) (cbrt (+ (/ (fabs (- y x)) 2.0) x)))
17.0ms
(cbrt (+ (/ (fabs (- y x)) 2.0) x))
11.0ms
(cbrt (+ (/ (fabs (- y x)) 2.0) x))
11.0ms
(cbrt (+ (/ (fabs (- y x)) 2.0) x))

series414.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (cbrt (+ (/ (fabs (- y x)) 2.0) x)) (cbrt (+ (/ (fabs (- y x)) 2.0) x)))
104.0ms
(cbrt (+ (/ (fabs (- y x)) 2.0) x))
97.0ms
(cbrt (+ (/ (fabs (- y x)) 2.0) x))
88.0ms
(cbrt (+ (/ (fabs (- y x)) 2.0) x))

simplify959.0ms

Counts
107 → 107
Iterations

Useful iterations: done (953.0ms)

IterNodesCost
01752740
14372573
217232445
done50012174

prune885.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes186.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample639.0ms

Algorithm
intervals
Results
335.0ms7692×body80valid
20.0ms120×body1280valid
9.0ms76×body640valid
8.0ms46×body2560valid
4.0ms41×body320valid
2.0ms25×body160valid