Details

Time bar (total: 14.5s)

sample38.0ms

Algorithm
intervals
Results
20.0ms248×body80valid
2.0ms5×body2560valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×add-sqr-sqrt pow1 +-commutative sum-log flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16 distribute-lft-out
Counts
1 → 13
Calls
1 calls:
13.0ms
(+ x (/ (fabs (- y x)) 2.0))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify1.7s

Counts
16 → 16
Iterations
IterNodes
done5001
41588
3571
2216
185
032

prune63.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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))))

rewrite84.0ms

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-cbrt-cube add-exp-log add-log-exp
5×pow-prod-up
4×frac-times insert-posit16 unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*l/ associate-*r/
1×pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 110
Calls
4 calls:
6.0ms
(+ x (/ (fabs (- y x)) 2.0))
8.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
61.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series199.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ x (/ (fabs (- y x)) 2.0))
82.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
51.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
24.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify1.6s

Counts
122 → 122
Iterations
IterNodes
done5001
21466
1309
0132

prune499.0ms

Pruning

5 alts after pruning (3 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))))
0.4b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
0.4b
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

rewrite270.0ms

Algorithm
rewrite-expression-head
Rules
122×sqrt-div
112×sqrt-prod
91×sqrt-pow1
69×pow1
60×add-sqr-sqrt
47×pow1/2
42×*-un-lft-identity
39×pow-prod-up
35×flip3-+ flip-+
32×frac-times
22×add-cube-cbrt
20×swap-sqr
17×associate-*l*
16×associate-*r/
12×pow-prod-down
11×add-cbrt-cube associate-*r* add-exp-log pow-sqr unswap-sqr
10×associate-*l/
9×distribute-lft-out
4×rem-sqrt-square prod-exp cbrt-unprod insert-posit16 add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 rem-square-sqrt pow-plus
Counts
4 → 209
Calls
4 calls:
9.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
9.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
155.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
93.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

series302.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
93.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
29.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
88.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify5.5s

Counts
221 → 221
Iterations
IterNodes
done5000
24284
1722
0274

prune942.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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)))

rewrite70.0ms

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 insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
50.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
10.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
4.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
4.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series258.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
68.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
77.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
63.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify1.2s

Counts
111 → 111
Iterations
IterNodes
done5000
21475
1396
0162

prune634.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample825.0ms

Algorithm
intervals
Results
491.0ms7682×body80valid
95.0ms115×body1280valid
44.0ms41×body2560valid
24.0ms78×body640valid
10.0ms59×body320valid
4.0ms26×body160valid