Details

Time bar (total: 1.8s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
052
152

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 (+ 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 frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
5.0ms
(/ x (+ x y))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ x (+ x y))

simplify80.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0118153
1378144
21024144
33620144
45001144

prune58.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) x)
0.4b
(/ 1 (/ (+ x y) x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 121
Calls
2 calls:
6.0ms
(/ (+ x y) x)
8.0ms
(/ 1 (/ (+ x y) x))

series61.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (+ x y) x)
39.0ms
(/ 1 (/ (+ x y) x))

simplify48.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0346800
11531702
25001612

prune133.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
8.1b
(cbrt (/ x (+ x y)))
8.1b
(cbrt (/ x (+ x y)))
8.1b
(cbrt (/ x (+ x y)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 180
Calls
4 calls:
20.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
4.0ms
(cbrt (/ x (+ x y)))
5.0ms
(cbrt (/ x (+ x y)))
5.0ms
(cbrt (/ x (+ x y)))

series507.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
119.0ms
(cbrt (/ x (+ x y)))
119.0ms
(cbrt (/ x (+ x y)))
123.0ms
(cbrt (/ x (+ x y)))

simplify74.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
02611712
18481660
231221580
350011575

prune421.0ms

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

sample251.0ms

Algorithm
intervals
Results
126.0ms8000×body80valid