Details

Time bar (total: 12.9s)

sample19.0ms

Algorithm
intervals
Results
6.0ms243×body80valid
1.0ms5×body1280valid
0.0ms4×body640valid
0.0ms3×body320valid
0.0ms1×body2560valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
15.0ms
(+ x (/ (fabs (- y x)) 2.0))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify1.6s

Counts
15 → 15
Iterations
IterNodes
done5000
41695
3592
2215
184
031

prune125.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

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)))

rewrite121.0ms

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 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 → 95
Calls
4 calls:
83.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
8.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
14.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
10.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series339.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
85.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
80.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
84.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify1.2s

Counts
107 → 107
Iterations
IterNodes
done5000
21475
1394
0160

prune601.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod *-un-lft-identity
8×add-sqr-sqrt cbrt-div add-cube-cbrt
4×pow1 flip3-+ add-cbrt-cube pow1/3 add-exp-log flip-+ distribute-lft-out add-log-exp
Counts
4 → 56
Calls
4 calls:
11.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
10.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
11.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series321.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
71.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
79.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
87.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify2.3s

Counts
68 → 68
Iterations
IterNodes
done5001
33070
2690
1210
087

prune526.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
0.0b
(- x (/ (fabs (- y x)) 2.0))
15.8b
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
30.4b
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
70×times-frac
56×*-un-lft-identity
44×add-cube-cbrt
20×difference-of-squares
18×add-cbrt-cube add-exp-log
13×swap-sqr associate-*r* associate-*l*
11×pow1
8×add-log-exp
6×associate-/r* distribute-lft-out--
5×cbrt-undiv div-exp div-inv
4×flip3-- prod-exp cbrt-unprod flip-- associate-/l* unswap-sqr
2×sub-neg diff-log associate-/r/ associate-/l/
1×pow2 frac-times clear-num frac-2neg pow-plus div-sub pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 146
Calls
4 calls:
29.0ms
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
23.0ms
(- x (/ (fabs (- y x)) 2.0))
13.0ms
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
54.0ms
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

series191.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
38.0ms
(- x (/ (fabs (- y x)) 2.0))
48.0ms
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
66.0ms
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

simplify3.4s

Counts
158 → 158
Iterations
IterNodes
done5001
24798
1722
0230

prune882.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes220.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample623.0ms

Algorithm
intervals
Results
336.0ms7667×body80valid
46.0ms90×body640valid
18.0ms109×body1280valid
10.0ms48×body2560valid
6.0ms52×body320valid
2.0ms34×body160valid