Details

Time bar (total: 1.5s)

sample12.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune2.0ms

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))

rewrite12.0ms

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:
11.0ms
(/ x (+ x y))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(/ x (+ x y))

simplify77.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0118153
1378144
21024144
33620144
45001144

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out
5×pow1
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 78
Calls
2 calls:
11.0ms
(/ 1 (+ x y))
30.0ms
(* x (/ 1 (+ x y)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ 1 (+ x y))
39.0ms
(* x (/ 1 (+ x y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0226346
1996296
23433258
35001258

prune93.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
7.9b
(sqrt (/ x (+ x y)))
7.9b
(sqrt (/ x (+ x y)))

rewrite99.0ms

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×rem-sqrt-square associate-/r* 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 → 201
Calls
4 calls:
11.0ms
(/ x (+ x y))
59.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
10.0ms
(sqrt (/ x (+ x y)))
10.0ms
(sqrt (/ x (+ x y)))

series198.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ x (+ x y))
39.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
58.0ms
(sqrt (/ x (+ x y)))
61.0ms
(sqrt (/ x (+ x y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
02941220
114261131
250011112

prune344.0ms

Pruning

3 alts after pruning (0 fresh and 3 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
052
152

end0.0ms

sample284.0ms

Algorithm
intervals
Results
120.0ms8000×body80valid