Details

Time bar (total: 31.6s)

sample37.0ms

Algorithm
intervals
Results
11.0ms248×body80valid
1.0ms5×body2560valid
0.0ms1×body640valid
0.0ms1×body1280valid
0.0ms1×body160valid

simplify40.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

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:
36.0ms
(+ x (/ (fabs (- y x)) 2.0))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify6.5s

Counts
16 → 16
Iterations
IterNodes
done5002
52890
41200
3498
2214
185
032

prune153.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

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))))

rewrite316.0ms

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:
23.0ms
(+ x (/ (fabs (- y x)) 2.0))
45.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
58.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
182.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series389.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(+ x (/ (fabs (- y x)) 2.0))
137.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
139.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
59.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify5.5s

Counts
122 → 122
Iterations
IterNodes
done5002
32387
2822
1304
0132

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize137.0ms

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 (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (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)))))

rewrite827.0ms

Algorithm
rewrite-expression-head
Rules
122×sqrt-div
112×sqrt-prod
97×sqrt-pow1
75×pow1
60×add-sqr-sqrt
53×pow1/2
43×pow-prod-up
42×*-un-lft-identity
35×flip3-+ flip-+
32×frac-times
22×add-cube-cbrt
20×swap-sqr
17×associate-*r*
16×associate-*l/
13×pow-sqr
12×pow-prod-down
11×add-cbrt-cube associate-*l* add-exp-log unswap-sqr
10×associate-*r/
9×distribute-lft-out
7×pow-plus
4×rem-sqrt-square prod-exp cbrt-unprod insert-posit16 add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 rem-square-sqrt
Counts
4 → 215
Calls
4 calls:
42.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
37.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
462.0ms
(* (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
238.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

series544.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
185.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
49.0ms
(* (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
123.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify4.4s

Counts
227 → 227
Iterations
IterNodes
done5000
21740
1705
0275

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize255.0ms

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)))

rewrite350.0ms

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:
239.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
31.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
33.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
33.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series819.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
182.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
187.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
223.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify5.7s

Counts
111 → 111
Iterations
IterNodes
done5003
32570
21002
1394
0162

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes396.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample903.0ms

Algorithm
intervals
Results
532.0ms7682×body80valid
46.0ms78×body640valid
35.0ms115×body1280valid
16.0ms41×body2560valid
10.0ms59×body320valid
3.0ms26×body160valid