Details

Time bar (total: 4.3s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify7.0ms

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

localize4.0ms

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))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(/ (- x y) (+ x y))

simplify49.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune89.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

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)))

rewrite115.0ms

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:
5.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
63.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ y (+ x y))
45.0ms
(/ x (+ x y))
73.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify139.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
092710910
126007864
250016854

prune458.0ms

Pruning

4 alts after pruning (4 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
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
3.1b
(log (exp (/ y (+ x y))))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
649×*-un-lft-identity
529×times-frac
396×prod-diff
383×add-sqr-sqrt
378×add-cube-cbrt
362×log-pow
342×exp-prod
134×distribute-lft-out
88×associate-/r/
44×flip3-+ flip-+ div-inv
24×pow1
18×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--r+
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 → 537
Calls
4 calls:
5.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
98.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
12.0ms
(log (exp (/ y (+ x y))))

series206.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ y (+ x y))
45.0ms
(/ x (+ x y))
81.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
41.0ms
(log (exp (/ y (+ x y))))

simplify178.0ms

Algorithm
egg-herbie
Counts
549 → 549
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0105615154
127259120
250028983

prune681.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
0.5b
(expm1 (- (/ x (+ x y)) (log (exp (/ y (+ x y))))))
3.1b
(log (exp (/ y (+ x y))))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
632×*-un-lft-identity
517×times-frac
396×prod-diff
374×add-sqr-sqrt
369×add-cube-cbrt
362×log-pow
342×exp-prod
130×distribute-lft-out
86×associate-/r/
43×flip3-+ flip-+ div-inv
24×pow1
18×fma-neg
6×add-exp-log log-prod add-cbrt-cube
5×log1p-expm1-u add-log-exp
4×expm1-log1p-u associate-/r*
3×associate-/l* associate--r+
2×distribute-lft-out-- difference-of-squares
1×cbrt-undiv sub-neg expm1-log1p flip3-- frac-2neg diff-log div-exp rem-log-exp clear-num flip-- expm1-udef
Counts
4 → 513
Calls
4 calls:
5.0ms
(/ x (+ x y))
101.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
0.0ms
(expm1 (- (/ x (+ x y)) (log (exp (/ y (+ x y))))))
13.0ms
(log (exp (/ y (+ x y))))

series486.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ x (+ x y))
80.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
321.0ms
(expm1 (- (/ x (+ x y)) (log (exp (/ y (+ x y))))))
42.0ms
(log (exp (/ y (+ x y))))

simplify175.0ms

Algorithm
egg-herbie
Counts
525 → 525
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0104415117
125999071
250018933

prune728.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes38.0ms

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

sample284.0ms

Algorithm
intervals
Results
152.0ms8000×body80valid