Details

Time bar (total: 2.3s)

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

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-/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:
11.0ms
(/ (+ x y) (- x y))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(/ (+ x y) (- x y))

simplify46.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0174296
1526282
21532278
35001278

prune81.0ms

Filtered
50 candidates to 34 candidates (68.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

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)))

rewrite13.0ms

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:
0.0ms
(log1p (expm1 (/ (+ x y) (- x y))))
11.0ms
(/ (+ x y) (- x y))
0.0ms
(expm1 (/ (+ x y) (- x y)))

series241.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(log1p (expm1 (/ (+ x y) (- x y))))
61.0ms
(/ (+ x y) (- x y))
88.0ms
(expm1 (/ (+ x y) (- x y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0205414
1571384
21583380
35001380

prune148.0ms

Filtered
78 candidates to 55 candidates (70.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

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-- associate-/r* flip-- div-inv
4×pow1 associate-/l*
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 pow-pow frac-2neg flip3-+ pow1/3 clear-num rem-cbrt-cube flip-+
Counts
3 → 191
Calls
3 calls:
13.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
13.0ms
(/ (+ x y) (- x y))
12.0ms
(pow (/ (+ x y) (- x y)) 3)

series233.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
72.0ms
(/ (+ x y) (- x y))
76.0ms
(pow (/ (+ x y) (- x y)) 3)

simplify84.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
04931433
121481337
250011319

prune246.0ms

Filtered
200 candidates to 93 candidates (46.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
27×add-sqr-sqrt
20×times-frac
17×add-cube-cbrt
6×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 expm1-log1p-u associate-/r* log1p-expm1-u distribute-lft-out-- difference-of-squares
4×log-pow associate-/l* add-log-exp
3×log-prod exp-prod
2×associate-/r/ associate-/l/ expm1-udef
1×cbrt-undiv log-div log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ exp-diff log1p-expm1 div-exp rem-log-exp clear-num flip-- flip-+ div-inv
Counts
4 → 87
Calls
4 calls:
0.0ms
(log1p (log (exp (expm1 (/ (+ x y) (- x y))))))
10.0ms
(/ (+ x y) (- x y))
1.0ms
(log (exp (expm1 (/ (+ x y) (- x y)))))
0.0ms
(expm1 (/ (+ x y) (- x y)))

series369.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(log1p (log (exp (expm1 (/ (+ x y) (- x y))))))
77.0ms
(/ (+ x y) (- x y))
100.0ms
(log (exp (expm1 (/ (+ x y) (- x y)))))
85.0ms
(expm1 (/ (+ x y) (- x y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0233539
1613493
21615489
35001489

prune210.0ms

Filtered
99 candidates to 71 candidates (71.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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
095
195

end0.0ms

sample283.0ms

Algorithm
intervals
Results
157.0ms8000×body80valid