Details

Time bar (total: 8.0s)

sample16.0ms

Algorithm
intervals
Results
7.0ms248×body80valid
0.0ms3×body2560valid
0.0ms2×body1280valid
0.0ms2×body320valid
0.0ms1×body640valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1108
2118
done118

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:
6.0ms
(+ x (/ (fabs (- y x)) 2.0))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify1.6s

Counts
15 → 15
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
031195
184187
2180171
3399171
4960171
52500171
done5001171

prune31.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (fabs (- y x)) 2.0))
0.0b
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
12.6b
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
28.6b
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

rewrite49.0ms

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-exp-log add-cbrt-cube
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 flip-- cbrt-unprod associate-/l* unswap-sqr
2×sub-neg diff-log associate-/r/ associate-/l/
1×pow2 frac-times frac-2neg pow-plus div-sub associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up
Counts
4 → 146
Calls
4 calls:
6.0ms
(- x (/ (fabs (- y x)) 2.0))
13.0ms
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
3.0ms
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
20.0ms
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

series133.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- x (/ (fabs (- y x)) 2.0))
21.0ms
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
32.0ms
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
59.0ms
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

simplify981.0ms

Counts
158 → 158
Iterations

Useful iterations: 2 (441.0ms)

IterNodesCost
02304172
16393499
223633008
done50003008

prune387.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
9×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
7×times-frac
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
6.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
52.0ms
(* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0))))

series282.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
63.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
65.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
87.0ms
(* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0))))

simplify1.5s

Counts
119 → 119
Iterations

Useful iterations: 3 (611.0ms)

IterNodesCost
01932970
14312759
211992604
338852379
done50002379

prune405.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0)))))
0.6b
(cbrt (cbrt (- x (/ (fabs (- y x)) 2.0))))
0.9b
(pow (cbrt (cbrt (- x (/ (fabs (- y x)) 2.0)))) 4)

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
56×add-sqr-sqrt
36×cbrt-div *-un-lft-identity
18×add-cube-cbrt
13×flip3-- flip--
12×pow1 unpow-prod-down difference-of-squares
11×swap-sqr
9×pow1/3 associate-*r* associate-*l*
8×frac-times distribute-lft-out--
7×add-exp-log
6×times-frac
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
3×pow-unpow
2×pow-pow pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-plus pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 122
Calls
4 calls:
50.0ms
(* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0))))
18.0ms
(cbrt (* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0)))))
6.0ms
(cbrt (cbrt (- x (/ (fabs (- y x)) 2.0))))
14.0ms
(pow (cbrt (cbrt (- x (/ (fabs (- y x)) 2.0)))) 4)

series517.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0))))
143.0ms
(cbrt (* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0)))))
100.0ms
(cbrt (cbrt (- x (/ (fabs (- y x)) 2.0))))
186.0ms
(pow (cbrt (cbrt (- x (/ (fabs (- y x)) 2.0)))) 4)

simplify799.0ms

Counts
134 → 134
Iterations

Useful iterations: 2 (296.0ms)

IterNodesCost
03573781
18033438
222813294
done50003294

prune547.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes100.0ms

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
078
188
done88

end0.0ms

sample305.0ms

Algorithm
intervals
Results
152.0ms7687×body80valid
15.0ms124×body1280valid
6.0ms92×body640valid
4.0ms40×body2560valid
2.0ms41×body320valid
1.0ms18×body160valid