Details

Time bar (total: 2.1s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
083
193
293

prune1.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
7.0ms
(/ (+ x y) (- x y))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ (+ x y) (- x y))

simplify45.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0174296
1526282
21532278
35001278

prune70.0ms

Filtered
50 candidates to 34 candidates (68.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New46450
Fresh000
Picked011
Done000
Total46551

Merged error: 0b

Counts
51 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 178
Calls
2 calls:
14.0ms
(/ 1 (/ (- x y) (+ x y)))
8.0ms
(/ (- x y) (+ x y))

series124.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ 1 (/ (- x y) (+ x y)))
64.0ms
(/ (- x y) (+ x y))

simplify61.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04951481
122241328
250011183

prune154.0ms

Filtered
184 candidates to 83 candidates (45.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1831184
Fresh123
Picked101
Done011
Total1854189

Merged error: 0b

Counts
189 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
316×times-frac
286×*-un-lft-identity
204×add-sqr-sqrt
138×add-cube-cbrt
83×exp-prod
41×distribute-lft-out
33×distribute-lft-out-- difference-of-squares
30×associate-/r*
18×associate-/r/
16×add-exp-log
10×add-cbrt-cube div-inv
8×flip3-+ div-exp flip-+ associate-/l*
4×pow1 cbrt-undiv add-log-exp
3×expm1-log1p-u log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×flip3-- pow-flip div-sub flip-- rem-exp-log inv-pow
Counts
3 → 271
Calls
3 calls:
19.0ms
(exp (/ 1 (/ (- x y) (+ x y))))
11.0ms
(/ 1 (/ (- x y) (+ x y)))
8.0ms
(/ (- x y) (+ x y))

series201.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(exp (/ 1 (/ (- x y) (+ x y))))
60.0ms
(/ 1 (/ (- x y) (+ x y)))
65.0ms
(/ (- x y) (+ x y))

simplify73.0ms

Algorithm
egg-herbie
Counts
280 → 280
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05682167
123761946
250011683

prune392.0ms

Filtered
280 candidates to 148 candidates (52.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2800280
Fresh022
Picked011
Done011
Total2804284

Merged error: 0b

Counts
284 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (expm1 (/ (+ x y) (- x y))))
0.0b
(/ (+ x y) (- x y))
0.5b
(expm1 (/ (+ x y) (- x y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
24×add-sqr-sqrt
20×times-frac
14×add-cube-cbrt
6×distribute-lft-out
5×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out-- difference-of-squares
4×log1p-expm1-u associate-/l*
3×pow1 expm1-log1p-u add-log-exp
2×associate-/r/ associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ log1p-expm1 div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 69
Calls
3 calls:
1.0ms
(log1p (expm1 (/ (+ x y) (- x y))))
7.0ms
(/ (+ x y) (- x y))
1.0ms
(expm1 (/ (+ x y) (- x y)))

series256.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(log1p (expm1 (/ (+ x y) (- x y))))
66.0ms
(/ (+ x y) (- x y))
90.0ms
(expm1 (/ (+ x y) (- x y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0205414
1571384
21583380
35001380

prune117.0ms

Filtered
78 candidates to 54 candidates (69.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh011
Picked011
Done022
Total78482

Merged error: 0b

Counts
82 → 4

regimes58.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126

end0.0ms

sample279.0ms

Algorithm
intervals
Results
152.0ms8000×body80valid