Details

Time bar (total: 10.3s)

sample29.0ms

Algorithm
intervals
Results
10.0ms245×body80valid
1.0ms3×body2560valid
1.0ms4×body640valid
0.0ms2×body1280valid
0.0ms2×body320valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2118
done118

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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:
15.0ms
(+ x (/ (fabs (- y x)) 2.0))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify1.4s

Counts
15 → 15
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
031195
184187
2215171
3586171
41712171
done5001171

prune116.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

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)))

rewrite166.0ms

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:
122.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
9.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
15.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
13.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series325.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
79.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
80.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
92.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify1.1s

Counts
107 → 107
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01602656
13942458
215322330
done50012117

prune585.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

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))))

rewrite204.0ms

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:
15.0ms
(+ x (/ (fabs (- y x)) 2.0))
17.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
28.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
137.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series172.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ x (/ (fabs (- y x)) 2.0))
61.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
66.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
26.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify1.3s

Counts
118 → 118
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01292569
13021852
214201711
done50021678

prune524.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize56.0ms

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

rewrite233.0ms

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:
128.0ms
(* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
66.0ms
(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
17.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
105.0ms
(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
75.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
68.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify1.5s

Counts
98 → 98
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02543374
16513151
226512933
done50012871

prune721.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes215.0ms

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

sample1.2s

Algorithm
intervals
Results
856.0ms7665×body80valid
24.0ms127×body1280valid
12.0ms81×body640valid
11.0ms49×body2560valid
6.0ms48×body320valid
2.0ms30×body160valid