Details

Time bar (total: 1.7s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
5.0ms
(/ x (+ x y))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ x (+ x y))

simplify83.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0121159
1393150
21065150
33830150
45002150

prune61.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
6.6b
(sqrt (/ x (+ x y)))
6.6b
(sqrt (/ x (+ x y)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
134×sqrt-prod
131×*-un-lft-identity
104×times-frac
103×add-sqr-sqrt
69×add-cube-cbrt
29×swap-sqr
28×distribute-lft-out
21×pow1 associate-*r* associate-*l*
14×associate-/r/
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+ div-inv
6×sqrt-div
5×pow-prod-up
4×expm1-log1p-u rem-sqrt-square associate-/r* log1p-expm1-u add-log-exp
3×pow-prod-down pow-sqr associate-/l*
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 209
Calls
4 calls:
5.0ms
(/ x (+ x y))
40.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
6.0ms
(sqrt (/ x (+ x y)))
6.0ms
(sqrt (/ x (+ x y)))

series202.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ x (+ x y))
38.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
62.0ms
(sqrt (/ x (+ x y)))
59.0ms
(sqrt (/ x (+ x y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
03031248
114571158
250021139

prune394.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.2b
(pow (/ x (+ x y)) 3)
10.7b
(cbrt (pow (/ x (+ x y)) 3))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
60×times-frac
46×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
16×distribute-lft-out
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv
4×pow1 associate-/r*
3×expm1-log1p-u pow-unpow log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 147
Calls
3 calls:
5.0ms
(/ x (+ x y))
7.0ms
(pow (/ x (+ x y)) 3)
11.0ms
(cbrt (pow (/ x (+ x y)) 3))

series162.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ x (+ x y))
79.0ms
(pow (/ x (+ x y)) 3)
38.0ms
(cbrt (pow (/ x (+ x y)) 3))

simplify53.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0396824
11788743
25001733

prune194.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes39.0ms

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
052
152

end0.0ms

sample252.0ms

Algorithm
intervals
Results
128.0ms8000×body80valid