Details

Time bar (total: 6.1s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×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

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

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (- x y) (+ x y))

simplify52.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0192297
1547283
21899283
35001280

prune95.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite114.0ms

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
(/ x (+ x y))
6.0ms
(/ y (+ x y))
69.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series168.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ x (+ x y))
43.0ms
(/ y (+ x y))
84.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify136.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
092710910
126007864
250016854

prune474.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x y) x)
0.0b
(/ y (+ x y))
0.0b
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
0.2b
(/ 1 (/ (+ x y) x))

rewrite312.0ms

Algorithm
rewrite-expression-head
Rules
2373×times-frac
1990×*-un-lft-identity
1307×add-sqr-sqrt
1274×add-cube-cbrt
954×prod-diff
351×distribute-lft-out
137×div-inv
128×associate-/r/
55×flip3-+ flip-+
53×fma-neg
23×associate-/r*
19×add-exp-log
13×add-cbrt-cube
10×associate-/l* difference-of-squares
9×div-exp
6×add-log-exp
5×pow1 cbrt-undiv
4×expm1-log1p-u log1p-expm1-u distribute-lft-out--
3×frac-2neg clear-num
2×rec-exp 1-exp associate-/l/
1×sub-neg flip3-- pow-flip diff-log frac-sub flip-- inv-pow
Counts
4 → 1196
Calls
4 calls:
8.0ms
(/ (+ x y) x)
6.0ms
(/ y (+ x y))
142.0ms
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
10.0ms
(/ 1 (/ (+ x y) x))

series210.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (+ x y) x)
54.0ms
(/ y (+ x y))
79.0ms
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
50.0ms
(/ 1 (/ (+ x y) x))

simplify286.0ms

Algorithm
egg-herbie
Counts
1208 → 1208
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
0205735038
1500123738

prune882.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite565.0ms

Algorithm
rewrite-expression-head
Rules
1628×*-un-lft-identity
1368×times-frac
972×prod-diff
930×add-sqr-sqrt
894×add-cube-cbrt
652×exp-sum
343×distribute-lft-out
329×log-prod
232×associate-/r/
116×flip3-+ flip-+ div-inv
34×exp-prod
21×distribute-lft-out--
18×fma-neg log-pow
12×difference-of-squares
9×distribute-rgt-out-- add-log-exp
6×add-exp-log add-cbrt-cube
5×pow1
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×sub-neg associate-/l*
2×exp-diff diff-log rem-exp-log
1×cbrt-undiv log-div flip3-- frac-2neg div-exp rem-log-exp clear-num frac-sub flip-- sub-div
Counts
4 → 1120
Calls
4 calls:
171.0ms
(exp (- (/ x (+ x y)) (/ y (+ x y))))
195.0ms
(log (exp (- (/ x (+ x y)) (/ y (+ x y)))))
6.0ms
(/ y (+ x y))
70.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(exp (- (/ x (+ x y)) (/ y (+ x y))))
78.0ms
(log (exp (- (/ x (+ x y)) (/ y (+ x y)))))
44.0ms
(/ y (+ x y))
83.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify295.0ms

Algorithm
egg-herbie
Counts
1132 → 1132
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0146432381
1349725211
2500123829

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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
0116
1116

end0.0ms

sample272.0ms

Algorithm
intervals
Results
142.0ms8000×body80valid