Details

Time bar (total: 3.3s)

sample14.0ms

Algorithm
intervals
Results
5.0ms243×body80valid
0.0ms5×body1280valid
0.0ms4×body640valid
0.0ms2×body320valid
0.0ms1×body2560valid
0.0ms1×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1114
2114
done114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:
10.0ms
(+ x (/ (fabs (- y x)) 2.0))

series18.0ms

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

simplify46.0ms

Counts
20 → 20
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
088110
122697
254097
3152297
4500197
done500197

prune52.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
13.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series712.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt x) (cbrt x))
173.0ms
(cbrt x)
170.0ms
(cbrt x)
173.0ms
(cbrt x)

simplify89.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0119308
1477281
22972258
35001255
done5001255

prune245.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series716.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
180.0ms
(cbrt x)
178.0ms
(cbrt x)
180.0ms
(cbrt x)

simplify129.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152
done5001152

prune253.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))
0.1b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.1b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.4b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
35×*-un-lft-identity
34×sqrt-prod
21×pow1
16×sqrt-div
15×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×expm1-log1p-u frac-times hypot-def log1p-expm1-u unswap-sqr
3×fma-def pow-prod-down pow-sqr
2×rem-sqrt-square times-frac associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 121
Calls
4 calls:
10.0ms
(+ x (/ (fabs (- y x)) 2.0))
18.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
71.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series135.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ x (/ (fabs (- y x)) 2.0))
48.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
53.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
18.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify44.0ms

Counts
133 → 133
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
02871107
111251001
25002967
done5002967

prune256.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes80.0ms

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
084
184
done84

end0.0ms

sample332.0ms

Algorithm
intervals
Results
147.0ms7692×body80valid
10.0ms122×body1280valid
5.0ms72×body640valid
5.0ms47×body2560valid
3.0ms54×body320valid
1.0ms15×body160valid