Details

Time bar (total: 12.4s)

sample18.0ms

Algorithm
intervals
Results
6.0ms243×body80valid
0.0ms4×body1280valid
0.0ms4×body640valid
0.0ms2×body2560valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07163
110163
211163
done11163

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
12.0ms
(+ x (/ (fabs (- y x)) 2.0))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify2.2s

Counts
20 → 20
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0334395
1893999
22343899
36303899
418583899
done50003899

prune115.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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))))

rewrite165.0ms

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 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 → 121
Calls
4 calls:
8.0ms
(+ x (/ (fabs (- y x)) 2.0))
26.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
28.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
98.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series193.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ x (/ (fabs (- y x)) 2.0))
66.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
68.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
27.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify1.9s

Counts
133 → 133
Iterations

Useful iterations: done (1.9s)

IterNodesCost
013545602
131835803
2137934959
done500134559

prune609.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.5b
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.5b
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.5b
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
69×cbrt-prod
44×add-sqr-sqrt
42×*-un-lft-identity
40×sqrt-prod
22×add-cube-cbrt
18×cbrt-div sqrt-div
14×swap-sqr
11×pow1
10×associate-*r* associate-*l*
9×flip3-+ pow1/3 flip-+ distribute-lft-out unswap-sqr
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 128
Calls
4 calls:
116.0ms
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
8.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
16.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series346.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
98.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
82.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
66.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.0s

Counts
140 → 140
Iterations

Useful iterations: done (1.9s)

IterNodesCost
018982997
143473329
2161472769
done500071449

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
15×*-un-lft-identity
9×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log sqrt-prod log1p-expm1-u add-log-exp
3×flip3-+ flip-+ distribute-lft-out
2×sqrt-div
Counts
4 → 64
Calls
4 calls:
16.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
13.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
13.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
1.0ms
(cbrt (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

series377.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
98.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
98.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
85.0ms
(cbrt (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify1.5s

Counts
76 → 76
Iterations

Useful iterations: done (1.5s)

IterNodesCost
017143455
137536826
2121836406
done500035296

prune656.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes221.0ms

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
07163
18163
done8163

end0.0ms

sample579.0ms

Algorithm
intervals
Results
341.0ms7681×body80valid
23.0ms118×body1280valid
11.0ms78×body640valid
10.0ms53×body2560valid
4.0ms40×body320valid
2.0ms30×body160valid