Details

Time bar (total: 11.5s)

sample22.0ms

Algorithm
intervals
Results
11.0ms250×body80valid
0.0ms3×body1280valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify4.0ms

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: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:
11.0ms
(+ x (/ (fabs (- y x)) 2.0))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify1.2s

Counts
15 → 15
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
031195
184187
2215171
3586171
41712171
done5001171

prune56.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite223.0ms

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:
162.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
18.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
18.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series343.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
103.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
66.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
83.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify1.0s

Counts
107 → 107
Iterations

Useful iterations: done (996.0ms)

IterNodesCost
01602656
13942458
215322330
done50012117

prune527.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-prod add-sqr-sqrt
23×*-un-lft-identity
21×sqrt-prod
18×cbrt-div
13×add-cube-cbrt
12×sqrt-div
10×associate-*r* associate-*l*
9×flip3-+ flip-+ unswap-sqr
6×pow1 add-exp-log
5×add-cbrt-cube distribute-lft-out
4×frac-times add-log-exp
3×pow1/3
2×associate-*r/ associate-*l/
1×swap-sqr pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
127.0ms
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
10.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
12.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series326.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
81.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
89.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
74.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify3.2s

Counts
103 → 103
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01522843
13252667
210282566
346842446
done50002421

prune656.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite316.0ms

Algorithm
rewrite-expression-head
Rules
77×cbrt-prod
66×add-sqr-sqrt
49×sqrt-prod
46×*-un-lft-identity
28×cbrt-div
24×add-cube-cbrt sqrt-div
20×associate-*r* associate-*l*
18×unswap-sqr
15×swap-sqr
14×flip3-+ flip-+
13×pow1
10×distribute-lft-out
8×add-exp-log frac-times pow1/3
5×add-cbrt-cube
4×associate-*r/ associate-*l/ add-log-exp
3×pow-prod-down
2×prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod
1×pow2 pow-plus
Counts
4 → 146
Calls
4 calls:
130.0ms
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
139.0ms
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
22.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
10.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series391.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
93.0ms
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
80.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
107.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify1.2s

Counts
158 → 158
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01994767
14204374
216794209
done50013935

prune895.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample674.0ms

Algorithm
intervals
Results
358.0ms7706×body80valid
19.0ms116×body1280valid
10.0ms78×body640valid
7.0ms40×body2560valid
4.0ms42×body320valid
1.0ms18×body160valid