Details

Time bar (total: 2.4s)

sample14.0ms

Algorithm
intervals
Results
6.0ms253×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1114
2114

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
088110
122697
254097
3152297
4500197

prune39.0ms

Filtered
20 candidates to 16 candidates (80.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New18220
Fresh000
Picked011
Done000
Total18321

Merged error: 0.0b

Counts
21 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (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)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite36.0ms

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×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 → 103
Calls
4 calls:
16.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (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)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series202.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
52.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
50.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
55.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03751533
112671446
250011341

prune278.0ms

Filtered
115 candidates to 83 candidates (72.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1132115
Fresh011
Picked011
Done011
Total1135118

Merged error: 0.0b

Counts
118 → 5

localize15.0ms

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)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod *-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u flip3-+ pow1/3 add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out add-log-exp
Counts
4 → 64
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)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series204.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
52.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
49.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
53.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0213892
1615840
22182828
35001824

prune282.0ms

Filtered
76 candidates to 68 candidates (89.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh022
Picked011
Done022
Total76581

Merged error: 0.0b

Counts
81 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
36×*-un-lft-identity
24×add-sqr-sqrt
18×cbrt-div
16×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×expm1-log1p-u frac-times sqrt-prod add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×sqrt-div associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
6.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
15.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series203.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
49.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
48.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
53.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05041599
117011508
250011402

prune342.0ms

Filtered
118 candidates to 84 candidates (71.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1171118
Fresh011
Picked011
Done033
Total1176123

Merged error: 0b

Counts
123 → 6

regimes77.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample356.0ms

Algorithm
intervals
Results
191.0ms7696×body80valid
13.0ms114×body1280valid
8.0ms62×body2560valid
7.0ms74×body640valid
3.0ms40×body320valid
1.0ms15×body160valid