Details

Time bar (total: 3.9s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1143
2163
3163

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 48
Calls
1 calls:
9.0ms
(/ (- x y) (+ x y))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(/ (- x y) (+ x y))

simplify58.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune76.0ms

Filtered
51 candidates to 35 candidates (68.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New49251
Fresh000
Picked011
Done000
Total49352

Merged error: 0.0b

Counts
52 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
581×*-un-lft-identity
484×times-frac
331×add-sqr-sqrt
324×prod-diff
319×add-cube-cbrt
123×distribute-lft-out
82×associate-/r/
41×flip3-+ flip-+ div-inv
18×fma-neg
8×associate-/r*
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×difference-of-squares
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 442
Calls
3 calls:
5.0ms
(/ x (+ x y))
6.0ms
(/ y (+ x y))
35.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series166.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ x (+ x y))
43.0ms
(/ y (+ x y))
82.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify150.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
092710910
126007864
250016854

prune386.0ms

Filtered
451 candidates to 150 candidates (33.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4501451
Fresh011
Picked101
Done011
Total4513454

Merged error: 0b

Counts
454 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (+ x y))
0.0b
(cbrt (pow (/ (- x y) (+ x y)) 3))
0.0b
(pow (/ (- x y) (+ x y)) 3)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv associate-/l*
4×pow1 associate-/r*
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div flip3-- pow-pow frac-2neg pow1/3 div-sub clear-num flip-- rem-cbrt-cube
Counts
3 → 192
Calls
3 calls:
16.0ms
(/ (- x y) (+ x y))
18.0ms
(cbrt (pow (/ (- x y) (+ x y)) 3))
10.0ms
(pow (/ (- x y) (+ x y)) 3)

series266.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(/ (- x y) (+ x y))
92.0ms
(cbrt (pow (/ (- x y) (+ x y)) 3))
103.0ms
(pow (/ (- x y) (+ x y)) 3)

simplify81.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05131428
122041331
250011313

prune232.0ms

Filtered
201 candidates to 93 candidates (46.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2010201
Fresh011
Picked011
Done011
Total2013204

Merged error: 0b

Counts
204 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
1126×*-un-lft-identity
944×times-frac
648×prod-diff
642×add-sqr-sqrt
618×add-cube-cbrt
238×distribute-lft-out
160×associate-/r/
80×flip3-+ flip-+ div-inv
36×fma-neg
14×distribute-lft-out--
8×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
6×distribute-rgt-out-- associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num frac-sub flip-- sub-div
Counts
4 → 814
Calls
4 calls:
5.0ms
(/ y (+ x y))
6.0ms
(/ y (+ x y))
32.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
37.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series247.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ y (+ x y))
47.0ms
(/ y (+ x y))
82.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
76.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify485.0ms

Algorithm
egg-herbie
Counts
826 → 826
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
090621512
1244415464
2500213408

prune954.0ms

Filtered
826 candidates to 248 candidates (30.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New8260826
Fresh000
Picked011
Done022
Total8263829

Merged error: 0b

Counts
829 → 3

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

end0.0ms

sample305.0ms

Algorithm
intervals
Results
177.0ms8000×body80valid