Details

Time bar (total: 5.2s)

sample12.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1143
2163
3163

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 48
Calls
1 calls:
24.0ms
(/ (- x y) (+ x y))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ (- x y) (+ x y))

simplify56.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune98.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
52×exp-prod
35×add-cube-cbrt
27×log-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×add-exp-log add-cbrt-cube associate-/l*
4×pow1 associate-/r* add-log-exp
3×expm1-log1p-u log-prod flip3-+ div-sub flip-+ log1p-expm1-u div-inv
2×exp-diff associate-/l/
1×cbrt-undiv log-div flip3-- frac-2neg div-exp rem-log-exp clear-num flip-- rem-exp-log
Counts
3 → 126
Calls
3 calls:
35.0ms
(log (exp (/ (- x y) (+ x y))))
35.0ms
(exp (/ (- x y) (+ x y)))
24.0ms
(/ (- x y) (+ x y))

series215.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(log (exp (/ (- x y) (+ x y))))
82.0ms
(exp (/ (- x y) (+ x y)))
65.0ms
(/ (- x y) (+ x y))

simplify62.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0267695
1671658
22185654
35001648

prune288.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite438.0ms

Algorithm
rewrite-expression-head
Rules
1113×*-un-lft-identity
932×times-frac
648×prod-diff
635×add-sqr-sqrt
611×add-cube-cbrt
326×exp-sum
235×distribute-lft-out
158×associate-/r/
79×flip3-+ flip-+ div-inv
18×fma-neg
17×exp-prod
14×distribute-lft-out--
9×add-log-exp
8×add-exp-log associate-/r* add-cbrt-cube difference-of-squares
6×distribute-rgt-out-- associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num rem-exp-log
1×flip3-- exp-diff frac-sub flip-- sub-div
Counts
4 → 797
Calls
4 calls:
11.0ms
(/ y (+ x y))
14.0ms
(/ x (+ x y))
229.0ms
(exp (- (/ x (+ x y)) (/ y (+ x y))))
102.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series266.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ y (+ x y))
41.0ms
(/ x (+ x y))
97.0ms
(exp (- (/ x (+ x y)) (/ y (+ x y))))
84.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify218.0ms

Algorithm
egg-herbie
Counts
809 → 809
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0121322035
1318817853
2500116421

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (- (* (/ x (+ x y)) (/ x (+ x y))) (* (/ y (+ x y)) (/ y (+ x y)))) (+ (/ x (+ x y)) (/ y (+ x y)))))
0.0b
(+ (/ x (+ x y)) (/ y (+ x y)))
0.1b
(* (/ y (+ x y)) (/ y (+ x y)))
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))

rewrite459.0ms

Algorithm
rewrite-expression-head
Rules
322×*-un-lft-identity
252×times-frac
136×add-sqr-sqrt
112×add-cube-cbrt
94×distribute-lft-out
59×exp-prod
48×swap-sqr
41×associate-/r/
36×associate-*r* associate-*l*
28×add-exp-log add-cbrt-cube
21×flip3-+ flip-+
20×div-inv
18×pow1 fma-def
15×distribute-rgt-out
13×difference-of-squares
8×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
7×add-log-exp
4×expm1-log1p-u log1p-expm1-u
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ frac-add pow-sqr *-commutative pow-prod-up
1×+-commutative exp-diff div-sub sum-log rem-exp-log
Counts
4 → 292
Calls
4 calls:
264.0ms
(exp (/ (- (* (/ x (+ x y)) (/ x (+ x y))) (* (/ y (+ x y)) (/ y (+ x y)))) (+ (/ x (+ x y)) (/ y (+ x y)))))
70.0ms
(+ (/ x (+ x y)) (/ y (+ x y)))
54.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
53.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

series334.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(exp (/ (- (* (/ x (+ x y)) (/ x (+ x y))) (* (/ y (+ x y)) (/ y (+ x y)))) (+ (/ x (+ x y)) (/ y (+ x y)))))
42.0ms
(+ (/ x (+ x y)) (/ y (+ x y)))
67.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
70.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
304 → 304
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
09802736
150012496

prune734.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes48.0ms

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
01419
11419

end0.0ms

sample312.0ms

Algorithm
intervals
Results
140.0ms8000×body80valid