Details

Time bar (total: 3.0s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify12.0ms

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))

rewrite12.0ms

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:
10.0ms
(/ (- x y) (+ x y))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(/ (- x y) (+ x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune98.0ms

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)))

rewrite92.0ms

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))
36.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series171.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ x (+ x y))
48.0ms
(/ y (+ x y))
80.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify158.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
092710910
126007864
250016854

prune441.0ms

Filtered
451 candidates to 151 candidates (33.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4501451
Fresh134
Picked101
Done000
Total4524456

Merged error: 0b

Counts
456 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ y (+ x y))
0.0b
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
2.9b
(log (exp (/ y (+ x y))))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
649×*-un-lft-identity
529×times-frac
396×prod-diff
383×add-sqr-sqrt
378×add-cube-cbrt
362×log-pow
342×exp-prod
134×distribute-lft-out
88×associate-/r/
44×flip3-+ flip-+ div-inv
24×pow1
18×fma-neg
8×add-exp-log associate-/r* add-cbrt-cube
6×log-prod associate-/l*
5×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate--r+
2×cbrt-undiv frac-2neg div-exp clear-num distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log rem-log-exp flip--
Counts
4 → 537
Calls
4 calls:
6.0ms
(/ x (+ x y))
6.0ms
(/ y (+ x y))
45.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
8.0ms
(log (exp (/ y (+ x y))))

series219.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ x (+ x y))
43.0ms
(/ y (+ x y))
86.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
44.0ms
(log (exp (/ y (+ x y))))

simplify190.0ms

Algorithm
egg-herbie
Counts
549 → 549
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0105615154
127259120
250028983

prune662.0ms

Filtered
549 candidates to 203 candidates (37.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New5490549
Fresh033
Picked011
Done000
Total5494553

Merged error: 0b

Counts
553 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
29×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out
5×pow1 associate-*l*
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out-- inv-pow difference-of-squares
Counts
2 → 88
Calls
2 calls:
10.0ms
(/ 1 (+ x y))
14.0ms
(* (- x y) (/ 1 (+ x y)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ 1 (+ x y))
69.0ms
(* (- x y) (/ 1 (+ x y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0277446
11252387
25002342

prune119.0ms

Filtered
94 candidates to 53 candidates (56.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh022
Picked011
Done011
Total94498

Merged error: 0b

Counts
98 → 4

regimes40.0ms

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
097
197

end0.0ms

sample293.0ms

Algorithm
intervals
Results
160.0ms8000×body80valid

Profiling

Loading profile data...