Details

Time bar (total: 3.8s)

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1284
2434
3564
4724
51334
62144
72654
82974
92974

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
14×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 60
Calls
1 calls:
22.0ms
(/ (- x y) (- 2.0 (+ x y)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify134.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0283498
1886475
24321474
35001474

prune121.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- 2.0 (+ x y)))
0.0b
(/ y (- 2.0 (+ x y)))
0.0b
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

rewrite263.0ms

Algorithm
rewrite-expression-head
Rules
1352×*-un-lft-identity
946×times-frac
843×add-sqr-sqrt
576×prod-diff
517×add-cube-cbrt
335×distribute-lft-out--
161×distribute-lft-out difference-of-squares
106×associate-/r/
54×flip3-- flip--
53×div-inv
24×fma-neg
12×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 722
Calls
3 calls:
15.0ms
(/ x (- 2.0 (+ x y)))
16.0ms
(/ y (- 2.0 (+ x y)))
155.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series173.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ x (- 2.0 (+ x y)))
47.0ms
(/ y (- 2.0 (+ x y)))
74.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify262.0ms

Algorithm
egg-herbie
Counts
731 → 731
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
0130423967
1366517833
2500117718

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))
0.0b
(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
0.3b
(expm1 (/ (- x y) (- 2.0 (+ x y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
42×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
16×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×add-exp-log add-cbrt-cube associate-/l*
4×log1p-expm1-u
3×pow1 expm1-log1p-u add-log-exp
2×flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p frac-2neg div-sub log1p-expm1 div-exp clear-num div-inv expm1-udef
Counts
3 → 82
Calls
3 calls:
24.0ms
(/ (- x y) (- 2.0 (+ x y)))
0.0ms
(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
0.0ms
(expm1 (/ (- x y) (- 2.0 (+ x y))))

series272.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ (- x y) (- 2.0 (+ x y)))
107.0ms
(log1p (expm1 (/ (- x y) (- 2.0 (+ x y)))))
108.0ms
(expm1 (/ (- x y) (- 2.0 (+ x y))))

simplify144.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0338687
11017638
24745631
35001631

prune214.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- 2.0 (+ x y)))
0.0b
(/ 1 (- 2.0 (+ x y)))
0.1b
(fma x (/ 1 (- 2.0 (+ x y))) (- (/ y (- 2.0 (+ x y)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
41×add-sqr-sqrt
36×times-frac
25×add-cube-cbrt
16×distribute-lft-out--
12×associate-/r*
9×add-exp-log
8×distribute-lft-out difference-of-squares
7×add-cbrt-cube
6×associate-/l*
4×pow1 associate-/r/
3×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-- frac-2neg clear-num flip-- div-inv
1×rec-exp pow-flip 1-exp fma-udef inv-pow
Counts
3 → 100
Calls
3 calls:
15.0ms
(/ y (- 2.0 (+ x y)))
19.0ms
(/ 1 (- 2.0 (+ x y)))
0.0ms
(fma x (/ 1 (- 2.0 (+ x y))) (- (/ y (- 2.0 (+ x y)))))

series163.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ y (- 2.0 (+ x y)))
37.0ms
(/ 1 (- 2.0 (+ x y)))
73.0ms
(fma x (/ 1 (- 2.0 (+ x y))) (- (/ y (- 2.0 (+ x y)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0318676
11122613
25002583

prune223.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes49.0ms

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
0106
1106

end0.0ms

sample476.0ms

Algorithm
intervals
Results
346.0ms8000×body80valid