Details

Time bar (total: 3.9s)

sample23.0ms

Algorithm
intervals
Results
9.0ms251×body80valid
1.0ms4×body640valid
0.0ms1×body2560valid
0.0ms1×body1280valid

simplify2.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
31.0ms
(+ x (/ (fabs (- y x)) 2.0))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify94.0ms

Counts
15 → 15

prune38.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))))

rewrite199.0ms

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-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
20.0ms
(+ x (/ (fabs (- y x)) 2.0))
32.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
34.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
106.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series207.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ x (/ (fabs (- y x)) 2.0))
75.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
78.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
35.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify82.0ms

Counts
118 → 118

prune247.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
0.3b
(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
17×associate-*r*
16×add-sqr-sqrt
14×sqrt-div
12×cbrt-prod add-cube-cbrt sqrt-prod
11×pow1 add-exp-log add-cbrt-cube
10×cbrt-div associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod distribute-lft-out add-log-exp
2×pow1/3 associate-*l/ *-commutative unswap-sqr
Counts
4 → 86
Calls
4 calls:
90.0ms
(* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
49.0ms
(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
9.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series304.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
85.0ms
(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
62.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
60.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify77.0ms

Counts
98 → 98

prune423.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.4b
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.4b
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
66×cbrt-prod
43×add-sqr-sqrt
41×*-un-lft-identity
36×sqrt-prod
21×add-cube-cbrt
18×cbrt-div
16×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×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 117
Calls
4 calls:
10.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
10.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
110.0ms
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
9.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series293.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
84.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
74.0ms
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
67.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify113.0ms

Counts
129 → 129

prune569.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample647.0ms

Algorithm
intervals
Results
341.0ms7688×body80valid
17.0ms114×body1280valid
11.0ms88×body640valid
9.0ms48×body2560valid
4.0ms40×body320valid
1.0ms23×body160valid