Details

Time bar (total: 15.2s)

sample18.0ms

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

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2118
done118

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
23.0ms
(+ x (/ (fabs (- y x)) 2.0))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify3.8s

Counts
20 → 20
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
033213
189204
2226185
3515185
41428185
53947185
done5000185

prune62.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
121×add-sqr-sqrt
97×times-frac
91×*-un-lft-identity
79×add-cube-cbrt
40×prod-diff
20×difference-of-squares
18×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
11×pow1
8×div-inv add-log-exp
6×associate-/r* distribute-lft-out--
5×cbrt-undiv div-exp
4×expm1-log1p-u flip3-- fma-neg prod-exp flip-- cbrt-unprod log1p-expm1-u 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 → 198
Calls
4 calls:
25.0ms
(- x (/ (fabs (- y x)) 2.0))
50.0ms
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
14.0ms
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
48.0ms
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- x (/ (fabs (- y x)) 2.0))
22.0ms
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
41.0ms
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
75.0ms
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

simplify1.7s

Counts
210 → 210
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03276590
18485577
227434189
done50003854

prune686.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite162.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 115
Calls
4 calls:
126.0ms
(* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0))))
13.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
8.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
10.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))

series395.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0))))
101.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
79.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
76.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))

simplify2.7s

Counts
127 → 127
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01973070
14462840
211752685
334852455
done50012437

prune703.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

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)))
1.0b
(pow (cbrt (cbrt (- x (/ (fabs (- y x)) 2.0)))) (+ 4 1))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-prod
31×add-sqr-sqrt
21×*-un-lft-identity
12×unpow-prod-down
11×add-cube-cbrt
8×difference-of-squares
6×cbrt-div
5×pow1 add-exp-log
4×expm1-log1p-u pow-unpow times-frac pow1/3 add-cbrt-cube log1p-expm1-u distribute-lft-out-- add-log-exp
3×flip3-- flip--
2×pow-pow
1×unpow-prod-up pow-to-exp pow-exp distribute-lft-out sqr-pow
Counts
4 → 85
Calls
4 calls:
16.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
29.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
17.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
36.0ms
(pow (cbrt (cbrt (- x (/ (fabs (- y x)) 2.0)))) (+ 4 1))

series640.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
108.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
104.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
334.0ms
(pow (cbrt (cbrt (- x (/ (fabs (- y x)) 2.0)))) (+ 4 1))

simplify2.3s

Counts
97 → 97
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02152138
15301934
212911824
338851800
done50001792

prune677.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes95.0ms

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

sample670.0ms

Algorithm
intervals
Results
350.0ms7686×body80valid
20.0ms112×body1280valid
10.0ms73×body640valid
9.0ms54×body2560valid
5.0ms50×body320valid
2.0ms28×body160valid