Details

Time bar (total: 12.2s)

sample17.0ms

Algorithm
intervals
Results
7.0ms250×body80valid
0.0ms2×body2560valid
0.0ms2×body1280valid
0.0ms2×body320valid

simplify5.0ms

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

localize14.0ms

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))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify3.1s

Counts
15 → 15
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
031195
184187
2209171
3459171
41200171
52875171
done5001171

prune45.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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))))

rewrite178.0ms

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:
11.0ms
(+ x (/ (fabs (- y x)) 2.0))
18.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
25.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
121.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series164.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ x (/ (fabs (- y x)) 2.0))
58.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
61.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
21.0ms
(* (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

prune448.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
0.4b
(* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
18×add-sqr-sqrt
17×associate-*r*
14×sqrt-div
13×cbrt-prod sqrt-prod
12×add-cube-cbrt cbrt-div
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod distribute-lft-out add-log-exp
3×unswap-sqr
2×pow1/3 associate-*l/ *-commutative
Counts
4 → 87
Calls
4 calls:
70.0ms
(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
141.0ms
(* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
9.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series488.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
149.0ms
(* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
98.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
72.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify1.4s

Counts
99 → 99
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02663415
16623190
220142948
done50012797

prune586.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize26.0ms

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
(* (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)

rewrite291.0ms

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:
37.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
38.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
178.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3))
22.0ms
(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

series388.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
88.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
34.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3))
178.0ms
(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

simplify1.3s

Counts
181 → 181
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02314893
15764277
219223341
done50013175

prune564.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes113.0ms

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

sample643.0ms

Algorithm
intervals
Results
314.0ms7686×body80valid
44.0ms108×body1280valid
10.0ms56×body2560valid
10.0ms80×body640valid
5.0ms53×body320valid
1.0ms17×body160valid