Details

Time bar (total: 3.8s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify8.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:
12.0ms
(/ (- x y) (+ x y))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (- x y) (+ x y))

simplify46.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune82.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

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)))

rewrite109.0ms

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:
7.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
62.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series160.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ y (+ x y))
39.0ms
(/ x (+ x y))
79.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify127.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
092710910
126007864
250016854

prune461.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ x (+ x y))
0.0b
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
2.2b
(log (exp (/ x (+ x y))))

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
650×*-un-lft-identity
529×times-frac
396×prod-diff
384×add-sqr-sqrt
381×log-pow
379×add-cube-cbrt
360×exp-prod
134×distribute-lft-out
88×associate-/r/
44×flip3-+ flip-+ div-inv
25×pow1
22×fma-neg
8×add-exp-log associate-/r* add-cbrt-cube
6×log-prod associate-/l*
5×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate--l+
2×cbrt-undiv frac-2neg div-exp clear-num distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log rem-log-exp flip--
Counts
4 → 541
Calls
4 calls:
5.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
149.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
12.0ms
(log (exp (/ x (+ x y))))

series207.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ y (+ x y))
46.0ms
(/ x (+ x y))
74.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
48.0ms
(log (exp (/ x (+ x y))))

simplify149.0ms

Algorithm
egg-herbie
Counts
553 → 553
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0105414054
129158942
250017613

prune562.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(expm1 (log1p (/ y (+ x y))))
0.0b
(- (log (exp (/ x (+ x y)))) (expm1 (log1p (/ y (+ x y)))))
2.2b
(log (exp (/ x (+ x y))))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
122×*-un-lft-identity
96×log-pow
90×exp-prod
83×add-sqr-sqrt
81×add-cube-cbrt
72×times-frac
66×prod-diff
22×fma-neg
19×distribute-lft-out
12×associate-/r/
10×pow1
6×add-exp-log log-prod flip3-+ add-cbrt-cube flip-+ div-inv
5×add-log-exp
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×associate--l+ associate-/l*
2×distribute-lft-out-- expm1-udef
1×cbrt-undiv sub-neg expm1-log1p flip3-- frac-2neg diff-log div-exp rem-log-exp clear-num flip-- associate--r- difference-of-squares
Counts
4 → 187
Calls
4 calls:
5.0ms
(/ x (+ x y))
0.0ms
(expm1 (log1p (/ y (+ x y))))
123.0ms
(- (log (exp (/ x (+ x y)))) (expm1 (log1p (/ y (+ x y)))))
12.0ms
(log (exp (/ x (+ x y))))

series278.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ x (+ x y))
74.0ms
(expm1 (log1p (/ y (+ x y))))
116.0ms
(- (log (exp (/ x (+ x y)))) (expm1 (log1p (/ y (+ x y)))))
42.0ms
(log (exp (/ x (+ x y))))

simplify122.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
04083210
110721460
240101410
350011404

prune379.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes36.0ms

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
0119
1119

end0.0ms

sample602.0ms

Algorithm
intervals
Results
473.0ms8000×body80valid