Details

Time bar (total: 1.7s)

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02611
12611

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

9.2b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
7.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04957515
14957515

prune58.0ms

Filtered
27 candidates to 36 candidates (-33.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh000
Picked011
Done000
Total34337

Merged error: 0.0b

Counts
37 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (+ 1.0 (* y (/ x 2.0))))
8.5b
(* y (/ 1 (+ 1.0 (* y (/ x 2.0)))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 71
Calls
2 calls:
6.0ms
(/ 1 (+ 1.0 (* y (/ x 2.0))))
9.0ms
(* y (/ 1 (+ 1.0 (* y (/ x 2.0)))))

series25.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ 1 (+ 1.0 (* y (/ x 2.0))))
15.0ms
(* y (/ 1 (+ 1.0 (* y (/ x 2.0)))))

simplify38.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04996965
14996965

prune95.0ms

Filtered
49 candidates to 77 candidates (-57.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New76177
Fresh011
Picked101
Done011
Total77380

Merged error: 0b

Counts
80 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
3.0b
(/ (+ 1.0 (* y (/ x 2.0))) (cbrt y))
6.5b
(/ (* (cbrt y) (cbrt y)) (/ (+ 1.0 (* y (/ x 2.0))) (cbrt y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
47×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×cbrt-prod
28×associate-/r*
18×add-exp-log
11×add-cbrt-cube
7×cbrt-undiv div-exp
4×pow1 div-inv associate-/l* add-log-exp
2×frac-2neg pow1/3 prod-exp clear-num cbrt-unprod associate-/l/
1×flip3-+ associate-/r/ flip-+
Counts
4 → 127
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
7.0ms
(/ (+ 1.0 (* y (/ x 2.0))) (cbrt y))
12.0ms
(/ (* (cbrt y) (cbrt y)) (/ (+ 1.0 (* y (/ x 2.0))) (cbrt y)))

series104.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt y)
28.0ms
(cbrt y)
36.0ms
(/ (+ 1.0 (* y (/ x 2.0))) (cbrt y))
16.0ms
(/ (* (cbrt y) (cbrt y)) (/ (+ 1.0 (* y (/ x 2.0))) (cbrt y)))

simplify71.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049472137
149472137

prune167.0ms

Filtered
103 candidates to 139 candidates (-35.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1390139
Fresh011
Picked011
Done011
Total1393142

Merged error: 0b

Counts
142 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (* y x))
0.7b
(/ 4.0 (* y x))
7.2b
(+ (/ 8.0 (pow (* y x) 3)) (* (/ 1 (* y x)) (- 2.0 (/ 4.0 (* y x)))))
11.3b
(* y (+ (/ 8.0 (pow (* y x) 3)) (* (/ 1 (* y x)) (- 2.0 (/ 4.0 (* y x))))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
16×add-cbrt-cube
12×add-sqr-sqrt *-un-lft-identity
11×associate-*r/
10×add-cube-cbrt frac-add
9×pow1
8×times-frac
6×div-exp associate-/l* add-log-exp
5×prod-exp
4×cbrt-undiv frac-times associate-+r+ flip3-- associate-*r* flip--
3×distribute-rgt-in distribute-lft-in associate-*l* cbrt-unprod
2×cube-mult sub-neg rec-exp pow-flip frac-2neg flip3-+ 1-exp pow-prod-down associate-*l/ clear-num associate-/r* flip-+ div-inv distribute-lft-out
1×+-commutative sum-log *-commutative inv-pow unswap-sqr
Counts
4 → 98
Calls
4 calls:
5.0ms
(/ 1 (* y x))
5.0ms
(/ 4.0 (* y x))
15.0ms
(+ (/ 8.0 (pow (* y x) 3)) (* (/ 1 (* y x)) (- 2.0 (/ 4.0 (* y x)))))
15.0ms
(* y (+ (/ 8.0 (pow (* y x) 3)) (* (/ 1 (* y x)) (- 2.0 (/ 4.0 (* y x))))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 1 (* y x))
3.0ms
(/ 4.0 (* y x))
18.0ms
(+ (/ 8.0 (pow (* y x) 3)) (* (/ 1 (* y x)) (- 2.0 (/ 4.0 (* y x)))))
24.0ms
(* y (+ (/ 8.0 (pow (* y x) 3)) (* (/ 1 (* y x)) (- 2.0 (/ 4.0 (* y x))))))

simplify47.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
051011667

prune167.0ms

Filtered
76 candidates to 110 candidates (-44.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done022
Total1103113

Merged error: 0b

Counts
113 → 3

regimes111.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11111

end0.0ms

sample522.0ms

Algorithm
intervals
Results
286.0ms7999×body80valid
0.0ms1×body640valid

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