Details

Time bar (total: 6.0s)

sample12.0ms

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))

series79.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(/ (- x y) (+ x y))

simplify69.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune111.0ms

Filtered
51 candidates to 35 candidates (68.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New46551
Fresh000
Picked101
Done000
Total47552

Merged error: 0b

Counts
52 → 5

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)))

rewrite88.0ms

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:
6.0ms
(/ x (+ x y))
6.0ms
(/ y (+ x y))
35.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series197.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ x (+ x y))
48.0ms
(/ y (+ x y))
97.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify173.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
092710910
126007864
250016854

prune515.0ms

Filtered
451 candidates to 150 candidates (33.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4483451
Fresh314
Picked101
Done000
Total4524456

Merged error: 0b

Counts
456 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
1113×*-un-lft-identity
932×times-frac
648×prod-diff
635×add-sqr-sqrt
611×add-cube-cbrt
326×exp-sum
235×distribute-lft-out
158×associate-/r/
79×flip3-+ flip-+ div-inv
18×fma-neg
17×exp-prod
14×distribute-lft-out--
9×add-log-exp
8×add-exp-log associate-/r* add-cbrt-cube difference-of-squares
6×distribute-rgt-out-- associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num rem-exp-log
1×flip3-- exp-diff frac-sub flip-- sub-div
Counts
4 → 797
Calls
4 calls:
52.0ms
(exp (- (/ x (+ x y)) (/ y (+ x y))))
5.0ms
(/ x (+ x y))
5.0ms
(/ y (+ x y))
33.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series313.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(exp (- (/ x (+ x y)) (/ y (+ x y))))
48.0ms
(/ x (+ x y))
52.0ms
(/ y (+ x y))
99.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify282.0ms

Algorithm
egg-herbie
Counts
809 → 809
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
0121222035
1318717853
2500116421

prune1.6s

Filtered
809 candidates to 310 candidates (38.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New8072809
Fresh213
Picked101
Done000
Total8103813

Merged error: 0b

Counts
813 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
0.0b
(/ (+ x y) y)
0.2b
(/ 1 (/ (+ x y) y))

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
2301×times-frac
1945×*-un-lft-identity
1274×add-sqr-sqrt
1241×add-cube-cbrt
954×prod-diff
345×distribute-lft-out
134×div-inv
129×associate-/r/
56×flip3-+ flip-+
23×associate-/r*
19×add-exp-log
18×fma-neg
13×add-cbrt-cube
10×associate-/l* difference-of-squares
9×div-exp
6×add-log-exp
5×pow1 cbrt-undiv
4×expm1-log1p-u log1p-expm1-u distribute-lft-out--
3×frac-2neg clear-num
2×rec-exp 1-exp associate-/l/
1×sub-neg flip3-- pow-flip diff-log frac-sub flip-- inv-pow
Counts
4 → 1161
Calls
4 calls:
6.0ms
(/ x (+ x y))
79.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
7.0ms
(/ (+ x y) y)
9.0ms
(/ 1 (/ (+ x y) y))

series212.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ x (+ x y))
90.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
20.0ms
(/ (+ x y) y)
58.0ms
(/ 1 (/ (+ x y) y))

simplify375.0ms

Algorithm
egg-herbie
Counts
1173 → 1173
Iterations

Useful iterations: 1 (60.0ms)

IterNodesCost
0240041504
1500128938

prune1.3s

Filtered
1173 candidates to 272 candidates (23.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New117211173
Fresh112
Picked011
Done000
Total117331176

Merged error: 0b

Counts
1176 → 3

regimes38.0ms

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
0138
1138

end0.0ms

sample296.0ms

Algorithm
intervals
Results
161.0ms8000×body80valid