Details

Time bar (total: 13.2s)

sample17.0ms

Algorithm
intervals
Results
7.0ms250×body80valid
0.0ms2×body1280valid
0.0ms2×body320valid
0.0ms1×body2560valid
0.0ms1×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2118
done118

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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:
21.0ms
(+ x (/ (fabs (- y x)) 2.0))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify2.5s

Counts
15 → 15
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
031195
184187
2209171
3459171
41200171
52875171
done5001171

prune67.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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)))

rewrite153.0ms

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×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
103.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
9.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
10.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
27.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series322.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
77.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
79.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
99.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify2.0s

Counts
107 → 107
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01602656
13672458
29382303
326252056
done50001984

prune407.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

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)))) (cbrt (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)))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
42×add-sqr-sqrt
40×*-un-lft-identity
32×sqrt-prod
20×add-cube-cbrt
18×cbrt-div
14×sqrt-div 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 → 114
Calls
4 calls:
14.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
140.0ms
(* (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)))
18.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series368.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
65.0ms
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
117.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
79.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify2.1s

Counts
126 → 126
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01953493
14113212
210603047
330352779
done50002623

prune535.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

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))
13.0b
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
27.5b
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

rewrite135.0ms

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:
23.0ms
(- x (/ (fabs (- y x)) 2.0))
43.0ms
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
13.0ms
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
44.0ms
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

series202.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- x (/ (fabs (- y x)) 2.0))
37.0ms
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
63.0ms
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
78.0ms
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

simplify2.5s

Counts
158 → 158
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02304172
16183499
221792997
done50012852

prune682.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes98.0ms

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

sample712.0ms

Algorithm
intervals
Results
354.0ms7686×body80valid
47.0ms54×body2560valid
18.0ms112×body1280valid
10.0ms73×body640valid
5.0ms50×body320valid
2.0ms28×body160valid