Details

Time bar (total: 13.7s)

sample15.0ms

Algorithm
intervals
Results
7.0ms245×body80valid
0.0ms4×body320valid
0.0ms2×body2560valid
0.0ms3×body640valid
0.0ms1×body1280valid
0.0ms1×body160valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×expm1-log1p-u pow1 +-commutative sum-log flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
12.0ms
(+ x (/ (fabs (- y x)) 2.0))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify2.7s

Counts
21 → 21
Iterations
IterNodes
done5000
54267
41455
3564
2235
190
034

prune65.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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))))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
35×*-un-lft-identity
34×sqrt-prod
21×pow1
16×sqrt-div
15×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×expm1-log1p-u frac-times hypot-def insert-posit16 log1p-expm1-u unswap-sqr
3×fma-def pow-prod-down pow-sqr
2×rem-sqrt-square times-frac associate-*l/ associate-*r/
1×pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 125
Calls
4 calls:
10.0ms
(+ x (/ (fabs (- y x)) 2.0))
23.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
27.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
97.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series154.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ x (/ (fabs (- y x)) 2.0))
54.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
58.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
25.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.4s

Counts
137 → 137
Iterations
IterNodes
done5002
32528
2815
1316
0138

prune491.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
18×*-un-lft-identity
13×sqrt-prod
10×add-cube-cbrt
8×pow1
7×associate-*r*
6×add-cbrt-cube sqrt-div add-exp-log add-log-exp
4×expm1-log1p-u flip3-+ flip-+ hypot-def insert-posit16 log1p-expm1-u distribute-lft-out
3×fma-def associate-*l*
2×rem-sqrt-square sqrt-pow1 times-frac pow1/2 associate-*r/ unswap-sqr
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 88
Calls
4 calls:
10.0ms
(+ x (/ (fabs (- y x)) 2.0))
20.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
30.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
72.0ms
(* (fabs (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series189.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ x (/ (fabs (- y x)) 2.0))
50.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
50.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
72.0ms
(* (fabs (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.6s

Counts
100 → 100
Iterations
IterNodes
done5000
34034
21132
1386
0154

prune542.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
0.3b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-sqr-sqrt
14×sqrt-div
13×associate-*r*
12×cbrt-prod add-cube-cbrt sqrt-prod
11×pow1 add-cbrt-cube add-exp-log
10×cbrt-div associate-*l/
9×flip3-+ flip-+
8×associate-*l*
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp
2×pow1/3 associate-*r/ *-commutative unswap-sqr
Counts
4 → 98
Calls
4 calls:
109.0ms
(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
66.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
8.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series339.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
103.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
65.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
82.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify2.0s

Counts
110 → 110
Iterations
IterNodes
done5001
22051
1660
0262

prune677.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes211.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample661.0ms

Algorithm
intervals
Results
443.0ms7709×body80valid
20.0ms96×body1280valid
14.0ms84×body640valid
10.0ms39×body2560valid
6.0ms51×body320valid
2.0ms22×body160valid