Details

Time bar (total: 2.4s)

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
083
193
293

prune1.0ms

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))

series64.0ms

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

simplify48.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0174296
1526282
21532278
35001278

prune82.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

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)))

rewrite18.0ms

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))))
15.0ms
(/ (+ x y) (- x y))
0.0ms
(expm1 (/ (+ x y) (- x y)))

series252.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(log1p (expm1 (/ (+ x y) (- x y))))
61.0ms
(/ (+ x y) (- x y))
91.0ms
(expm1 (/ (+ x y) (- x y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0205414
1571384
21583380
35001380

prune157.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
16×*-un-lft-identity
10×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-+ flip-+ distribute-lft-out
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 65
Calls
4 calls:
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))

series527.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (- x y))
125.0ms
(cbrt (+ x y))
127.0ms
(cbrt (+ x y))
128.0ms
(cbrt (+ x y))

simplify58.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0228392
1564369
21844360
35001355

prune279.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*l* prod-exp 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
Counts
2 → 94
Calls
2 calls:
6.0ms
(/ 1 (- x y))
23.0ms
(* (+ x y) (/ 1 (- x y)))

series100.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ 1 (- x y))
64.0ms
(* (+ x y) (/ 1 (- x y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0295496
11401433
25001379

prune132.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes56.0ms

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
085
185

end0.0ms

sample368.0ms

Algorithm
intervals
Results
247.0ms8000×body80valid