Details

Time bar (total: 13.3s)

sample21.0ms

Algorithm
intervals
Results
8.0ms248×body80valid
0.0ms2×body2560valid
0.0ms4×body320valid
0.0ms1×body1280valid
0.0ms1×body640valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2118
done118

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify2.8s

Counts
15 → 15
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
031195
184187
2209171
3459171
41200171
52875171
done5001171

prune54.0ms

Pruning

4 alts after pruning (3 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))))

rewrite252.0ms

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))
33.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
34.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
157.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series193.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ x (/ (fabs (- y x)) 2.0))
76.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
53.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
40.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify1.9s

Counts
118 → 118
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01292569
12681841
27461711
323141658
done50001574

prune298.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

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))))
0.2b
(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.5b
(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

rewrite286.0ms

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-*l*
25×add-cube-cbrt
24×unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log associate-*r*
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×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 170
Calls
4 calls:
29.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
20.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
208.0ms
(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
21.0ms
(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

series322.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
78.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
33.0ms
(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
138.0ms
(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

simplify1.4s

Counts
182 → 182
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02294891
15863610
219303335
done50013163

prune534.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.3b
(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3)) (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
0.3b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3))
0.5b
(pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3)

rewrite555.0ms

Algorithm
rewrite-expression-head
Rules
167×sqrt-prod
162×sqrt-div
72×add-sqr-sqrt
45×*-un-lft-identity associate-*r*
35×flip3-+ flip-+
34×unpow-prod-down cube-prod
32×frac-times
31×add-cube-cbrt
26×cube-div
20×add-exp-log unswap-sqr
18×sqrt-pow1
16×associate-*l/
13×pow1
12×add-cbrt-cube
10×associate-*r/ prod-exp
8×associate-*l*
7×pow-pow distribute-lft-out
6×pow1/2
4×cbrt-unprod add-log-exp sqr-pow
3×pow-to-exp rem-sqrt-square pow-unpow pow-exp
2×cube-mult unpow3 *-commutative
1×pow-prod-down sqrt-pow2 rem-cube-cbrt
Counts
4 → 214
Calls
4 calls:
19.0ms
(sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
251.0ms
(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3)) (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
250.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3))
23.0ms
(pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3)

series421.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
29.0ms
(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3)) (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
134.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3))
157.0ms
(pow (sqrt (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) 3)

simplify2.4s

Counts
226 → 226
Iterations

Useful iterations: done (2.4s)

IterNodesCost
03698125
19646872
232206477
done50015870

prune967.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 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

sample693.0ms

Algorithm
intervals
Results
368.0ms7703×body80valid
17.0ms104×body1280valid
11.0ms55×body2560valid
9.0ms66×body640valid
4.0ms44×body320valid
2.0ms28×body160valid