Details

Time bar (total: 1.9s)

sample11.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ y x))

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

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(/ x (+ y x))

simplify82.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0121159
1391150
21069150
33853150
45001150

prune60.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (/ x (+ y x)))
0.0b
(/ x (+ y x))
0.0b
(expm1 (log1p (/ x (+ y x))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×add-exp-log add-cbrt-cube
4×expm1-log1p-u associate-/r* distribute-lft-out
3×pow1 log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/
1×cbrt-undiv log1p-udef expm1-log1p frac-2neg flip3-+ log1p-expm1 div-exp clear-num flip-+ div-inv expm1-udef
Counts
3 → 57
Calls
3 calls:
0.0ms
(log1p (/ x (+ y x)))
11.0ms
(/ x (+ y x))
0.0ms
(expm1 (log1p (/ x (+ y x))))

series185.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(log1p (/ x (+ y x)))
40.0ms
(/ x (+ y x))
78.0ms
(expm1 (log1p (/ x (+ y x))))

simplify83.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0144250
1424229
21106229
33898229
45001229

prune125.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ y x))
0.1b
(* x (/ 1 (+ y x)))

rewrite45.0ms

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 expm1-log1p-u rec-exp flip3-+ 1-exp cbrt-unprod flip-+ log1p-expm1-u 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 → 82
Calls
2 calls:
11.0ms
(/ 1 (+ y x))
30.0ms
(* x (/ 1 (+ y x)))

series77.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ 1 (+ y x))
44.0ms
(* x (/ 1 (+ y x)))

simplify59.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0231360
11013310
23518272
35002272

prune109.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ y x))
0.0b
(expm1 (log1p (cbrt (pow (/ x (+ y x)) 3))))
0.1b
(pow (/ x (+ y x)) 3)
14.1b
(cbrt (pow (/ x (+ y x)) 3))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
60×times-frac
47×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
16×distribute-lft-out
10×associate-/r/
9×add-exp-log add-cbrt-cube
5×pow1 flip3-+ flip-+ div-inv
4×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
3×pow-unpow associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div expm1-log1p pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube expm1-udef
Counts
4 → 158
Calls
4 calls:
11.0ms
(/ x (+ y x))
0.0ms
(expm1 (log1p (cbrt (pow (/ x (+ y x)) 3))))
13.0ms
(pow (/ x (+ y x)) 3)
16.0ms
(cbrt (pow (/ x (+ y x)) 3))

series244.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ x (+ y x))
78.0ms
(expm1 (log1p (cbrt (pow (/ x (+ y x)) 3))))
78.0ms
(pow (/ x (+ y x)) 3)
45.0ms
(cbrt (pow (/ x (+ y x)) 3))

simplify53.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0408856
11800777
25001769

prune267.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

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
074
174

end0.0ms

sample279.0ms

Algorithm
intervals
Results
116.0ms8000×body80valid