Details

Time bar (total: 2.1s)

sample16.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
083
193
293

prune2.0ms

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))

rewrite13.0ms

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))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (+ x y) (- x y))

simplify48.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0174296
1526282
21532278
35001278

prune88.0ms

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))
0.4b
(expm1 (/ (+ x y) (- x y)))

rewrite14.0ms

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)))

series257.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(log1p (expm1 (/ (+ x y) (- x y))))
66.0ms
(/ (+ x y) (- x y))
92.0ms
(expm1 (/ (+ x y) (- x y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0205414
1571384
21583380
35001380

prune165.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*l*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*r* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*r/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out inv-pow
Counts
2 → 95
Calls
2 calls:
6.0ms
(/ 1 (- x y))
26.0ms
(* (/ 1 (- x y)) (+ x y))

series98.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ 1 (- x y))
60.0ms
(* (/ 1 (- x y)) (+ x y))

simplify47.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0412498
11980433
25001396

prune151.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
60×add-sqr-sqrt
59×times-frac
34×add-cube-cbrt
21×fma-def
15×distribute-lft-out--
13×difference-of-squares
10×associate-/r* associate-/r/
8×distribute-lft-out
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×flip3-- flip-- div-inv add-log-exp
3×pow1 expm1-log1p-u distribute-rgt-out log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×+-commutative flip3-+ frac-add sum-log flip-+
Counts
3 → 124
Calls
3 calls:
5.0ms
(/ y (- x y))
5.0ms
(/ x (- x y))
50.0ms
(+ (/ x (- x y)) (/ y (- x y)))

series175.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ y (- x y))
42.0ms
(/ x (- x y))
82.0ms
(+ (/ x (- x y)) (/ y (- x y)))

simplify83.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0291565
1907544
22734544
35002544

prune264.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes47.0ms

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
075
175

end0.0ms

sample420.0ms

Algorithm
intervals
Results
290.0ms8000×body80valid