Details

Time bar (total: 13.1s)

sample31.0ms

Algorithm
intervals
Results
12.0ms242×body80valid
1.0ms6×body640valid
1.0ms3×body2560valid
1.0ms3×body1280valid
0.0ms2×body320valid

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: 0.1b

localize12.0ms

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:
10.0ms
(+ x (/ (fabs (- y x)) 2.0))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify2.7s

Counts
15 → 15
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
031195
184187
2209171
3459171
41200171
52875171
done5001171

prune81.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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

rewrite185.0ms

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:
19.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
127.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
78.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
92.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
85.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.2s

Counts
107 → 107
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01602656
13672458
29402303
326232056
done50001984

prune440.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))
0.1b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.1b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.4b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite241.0ms

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:
21.0ms
(+ x (/ (fabs (- y x)) 2.0))
35.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
34.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
144.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series240.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ x (/ (fabs (- y x)) 2.0))
93.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
80.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
36.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.1s

Counts
118 → 118
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01292569
12681841
27461711
323141658
done50001574

prune320.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.1b
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.3b
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3))
0.6b
(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

rewrite306.0ms

Algorithm
rewrite-expression-head
Rules
121×sqrt-prod
74×add-sqr-sqrt
39×*-un-lft-identity
36×sqrt-div
29×unpow-prod-down cube-prod
26×associate-*r*
25×add-cube-cbrt
24×unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log associate-*l*
9×flip3-+ flip-+
8×cube-div
7×add-cbrt-cube distribute-lft-out
6×pow1/2
5×pow-pow sqr-pow
4×frac-times rem-sqrt-square add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 associate-*r/ associate-*l/ pow-exp
1×*-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 169
Calls
4 calls:
18.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
25.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
225.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3))
30.0ms
(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

series328.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
90.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
20.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3))
147.0ms
(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

simplify1.5s

Counts
181 → 181
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02314893
15764277
219223341
done50013175

prune580.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes165.0ms

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

sample1.1s

Algorithm
intervals
Results
805.0ms7701×body80valid
16.0ms88×body1280valid
15.0ms65×body2560valid
11.0ms76×body640valid
5.0ms46×body320valid
2.0ms27×body160valid