Details

Time bar (total: 10.8s)

sample28.0ms

Algorithm
intervals
Results
10.0ms244×body80valid
1.0ms5×body1280valid
1.0ms4×body640valid
0.0ms2×body320valid
0.0ms1×body2560valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2118
done118

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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:
22.0ms
(+ x (/ (fabs (- y x)) 2.0))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify1.4s

Counts
15 → 15
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
031195
184187
2215171
3586171
41712171
done5001171

prune51.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite156.0ms

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:
103.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
18.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
14.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
80.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
77.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
67.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify991.0ms

Counts
107 → 107
Iterations

Useful iterations: done (986.0ms)

IterNodesCost
01602656
13942458
215322330
done50012117

prune547.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

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))))

rewrite214.0ms

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))
24.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
144.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series224.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ x (/ (fabs (- y x)) 2.0))
66.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
90.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
32.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify1.2s

Counts
118 → 118
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01292569
13021852
214201711
done50021678

prune402.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite335.0ms

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×sqrt-pow1
11×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 sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 168
Calls
4 calls:
32.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
21.0ms
(sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x)))
210.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (pow (sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x))) 3))
56.0ms
(pow (sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x))) 3)

series296.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
83.0ms
(sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x)))
19.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (pow (sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x))) 3))
115.0ms
(pow (sqrt (sqrt (+ (/ (fabs (- y x)) 2.0) x))) 3)

simplify3.2s

Counts
180 → 180
Iterations

Useful iterations: done (3.1s)

IterNodesCost
02774903
17454371
235403590
done50003400

prune622.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes85.0ms

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

sample667.0ms

Algorithm
intervals
Results
306.0ms7659×body80valid
50.0ms99×body640valid
24.0ms134×body1280valid
8.0ms42×body2560valid
5.0ms50×body320valid
1.0ms17×body160valid