Details

Time bar (total: 2.5s)

sample238.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 10.986328%

Guaranteed chance to sample good point: 96.530444%

Results
11.0ms256×body80valid
0.0ms4×body80invalid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1275
2405
3475
4635
5755
61065
71125
81185
91225
101305
114025
1226055
1350015

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
6.2b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 times-frac associate-*r/ associate-*r* associate-/r*
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
9.0ms
(* x (+ (/ x y) 1.0))
11.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* x (+ (/ x y) 1.0))
7.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0296332
11504285
25001283

prune84.0ms

Filtered
38 candidates to 56 candidates (-47.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New50656
Fresh000
Picked101
Done000
Total51657

Merged error: 0.0b

Counts
57 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
2 → 146
Calls
2 calls:
12.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series17.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
8.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04941442
123441386
250011384

prune172.0ms

Filtered
95 candidates to 152 candidates (-60.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1511152
Fresh055
Picked011
Done000
Total1517158

Merged error: 0b

Counts
158 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (/ x y)) (* x 1.0))
0.2b
(* x (/ x y))
6.2b
(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
26×add-sqr-sqrt times-frac
21×add-cube-cbrt
13×associate-*r*
11×distribute-lft-out
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×associate-/r* associate-/l*
3×flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
3 → 84
Calls
3 calls:
5.0ms
(+ (* x (/ x y)) (* x 1.0))
6.0ms
(* x (/ x y))
10.0ms
(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

series16.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* x (/ x y)) (* x 1.0))
3.0ms
(* x (/ x y))
7.0ms
(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0390634
11859571
25001566

prune104.0ms

Filtered
65 candidates to 93 candidates (-43.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh145
Picked011
Done011
Total937100

Merged error: 0b

Counts
100 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 1.0) x)
0.1b
(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
0.2b
(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
794×times-frac
632×*-un-lft-identity
336×add-sqr-sqrt add-cube-cbrt
148×distribute-lft-out
77×associate-/r*
31×add-exp-log
28×div-inv
23×associate-/l*
19×div-exp add-cbrt-cube
11×associate-/r/
10×cbrt-undiv
6×flip3-+ flip-+
4×pow1
3×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 442
Calls
3 calls:
5.0ms
(/ (+ x 1.0) x)
14.0ms
(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
24.0ms
(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

series21.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (+ x 1.0) x)
10.0ms
(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
7.0ms
(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

simplify84.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011755467
150014940

prune459.0ms

Filtered
221 candidates to 451 candidates (-104.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New4510451
Fresh044
Picked011
Done022
Total4517458

Merged error: 0b

Counts
458 → 7

regimes176.0ms

Accuracy

0% (0.1b 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
0105
1105

end0.0ms

sample692.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 10.986328%

Guaranteed chance to sample good point: 96.530444%

Results
272.0ms8000×body80valid
4.0ms133×body80invalid

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