Details

Time bar (total: 2.4s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify11.0ms

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))

rewrite15.0ms

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:
13.0ms
(/ (- x y) (+ x y))

series72.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(/ (- x y) (+ x y))

simplify58.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune94.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

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)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
581×*-un-lft-identity
484×times-frac
331×add-sqr-sqrt
324×prod-diff
319×add-cube-cbrt
123×distribute-lft-out
82×associate-/r/
41×flip3-+ flip-+ div-inv
18×fma-neg
8×associate-/r*
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×difference-of-squares
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 442
Calls
3 calls:
6.0ms
(/ y (+ x y))
9.0ms
(/ x (+ x y))
70.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ y (+ x y))
45.0ms
(/ x (+ x y))
87.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify150.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
092710910
126007864
250016854

prune503.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity
68×add-sqr-sqrt
63×add-cube-cbrt
61×times-frac
54×prod-diff
18×fma-neg
16×distribute-lft-out
10×associate-/r/
6×add-exp-log add-cbrt-cube add-log-exp
5×expm1-log1p-u flip3-+ flip-+ div-inv
4×pow1 associate-/r* log1p-expm1-u
3×associate-/l*
2×expm1-udef difference-of-squares
1×cbrt-undiv sub-neg log1p-udef expm1-log1p flip3-- frac-2neg diff-log log1p-expm1 div-exp clear-num flip-- distribute-lft-out-- associate--r-
Counts
4 → 147
Calls
4 calls:
6.0ms
(/ x (+ x y))
0.0ms
(log1p (/ y (+ x y)))
0.0ms
(expm1 (log1p (/ y (+ x y))))
39.0ms
(- (/ x (+ x y)) (expm1 (log1p (/ y (+ x y)))))

series322.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ x (+ x y))
75.0ms
(log1p (/ y (+ x y)))
79.0ms
(expm1 (log1p (/ y (+ x y))))
119.0ms
(- (/ x (+ x y)) (expm1 (log1p (/ y (+ x y)))))

simplify131.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03472514
19961279
240041240
350011240

prune303.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063
163

end0.0ms

sample288.0ms

Algorithm
intervals
Results
160.0ms8000×body80valid