Details

Time bar (total: 1.8s)

sample15.0ms

Algorithm
intervals
Results
7.0ms298×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1295
2455
3565
4745
5865
61205
71365
81465
91505
101605
114465
1226955
1350015

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: 11.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
10.4b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite27.0ms

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 expm1-log1p-u div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u 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 → 54
Calls
2 calls:
9.0ms
(* x (+ (/ x y) 1.0))
16.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series67.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* x (+ (/ x y) 1.0))
41.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0306352
11568305
25001304

prune120.0ms

Filtered
60 candidates to 42 candidates (70.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New54660
Fresh000
Picked101
Done000
Total55661

Merged error: 0.0b

Counts
61 → 6

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 150
Calls
2 calls:
17.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
14.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series109.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
68.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify68.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05041464
123901406
250021404

prune220.0ms

Filtered
156 candidates to 99 candidates (63.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1533156
Fresh235
Picked101
Done000
Total1566162

Merged error: 0b

Counts
162 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.1b
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*l*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out
4×pow1 flip3-+ associate-*r* associate-/r* associate-/r/ flip-+
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 81
Calls
2 calls:
5.0ms
(/ x (+ x 1.0))
14.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series79.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ x (+ x 1.0))
46.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0474534
12069486
25001486

prune133.0ms

Filtered
87 candidates to 61 candidates (70.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New87087
Fresh055
Picked011
Done000
Total87693

Merged error: 0b

Counts
93 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (+ (/ x y) 1.0) (+ x 1.0))
0.2b
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
33×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt associate-*r*
18×distribute-lft-out
9×add-exp-log add-cbrt-cube
4×pow1 associate-/r* associate-/r/ associate-/l*
3×flip3-+ associate-*l* flip-+
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 85
Calls
2 calls:
16.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
16.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series73.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
43.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0337638
11571584
25001580

prune142.0ms

Filtered
91 candidates to 59 candidates (64.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh044
Picked011
Done011
Total91697

Merged error: 0b

Counts
97 → 6

regimes43.0ms

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
0115
1115

end0.0ms

sample384.0ms

Algorithm
intervals
Results
237.0ms9133×body80valid

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