Details

Time bar (total: 31.8s)

sample47.0ms

Algorithm
intervals
Results
16.0ms245×body80valid
1.0ms3×body640valid
1.0ms4×body320valid
1.0ms2×body2560valid
0.0ms1×body1280valid
0.0ms1×body160valid

simplify27.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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:
23.0ms
(+ x (/ (fabs (- y x)) 2.0))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify7.9s

Counts
21 → 21
Iterations
IterNodes
done5000
54244
41446
3560
2233
190
034

prune241.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

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))))

rewrite300.0ms

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:
27.0ms
(+ x (/ (fabs (- y x)) 2.0))
29.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
28.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
208.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series369.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(+ x (/ (fabs (- y x)) 2.0))
157.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
123.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
35.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify4.7s

Counts
137 → 137
Iterations
IterNodes
done5000
32494
2809
1316
0138

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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))))

rewrite188.0ms

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:
19.0ms
(+ x (/ (fabs (- y x)) 2.0))
43.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
26.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
94.0ms
(* (fabs (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series609.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(+ x (/ (fabs (- y x)) 2.0))
127.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
135.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
294.0ms
(* (fabs (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify5.9s

Counts
100 → 100
Iterations
IterNodes
done5000
34061
21138
1386
0154

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize112.0ms

Local error

Found 4 expressions with local error:

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

rewrite261.0ms

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×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u 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 → 107
Calls
4 calls:
186.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
24.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
24.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
220.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
170.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
532.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
183.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify4.5s

Counts
119 → 119
Iterations
IterNodes
done5000
32790
21035
1403
0166

prune1.5s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes509.0ms

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

sample620.0ms

Algorithm
intervals
Results
334.0ms7709×body80valid
24.0ms96×body1280valid
11.0ms84×body640valid
7.0ms39×body2560valid
5.0ms51×body320valid
1.0ms22×body160valid