Details

Time bar (total: 1.4s)

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

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 (+ y x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
associate-/r* distribute-lft-out
add-exp-log add-cbrt-cube associate-/l*
associate-/r/
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 (+ y x))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ x (+ y x))

simplify85.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0121159
1391150
21069150
33853150
45001150

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
expm1-log1p-u associate-/r* distribute-lft-out
pow1 log1p-expm1-u associate-/l* add-log-exp
associate-/r/
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:
5.0ms
(/ x (+ y x))
1.0ms
(log1p (/ x (+ y x)))
1.0ms
(expm1 (log1p (/ x (+ y x))))

series183.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ x (+ y x))
63.0ms
(log1p (/ x (+ y x)))
77.0ms
(expm1 (log1p (/ x (+ y x))))

simplify86.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0144250
1424229
21106229
33898229
45001229

prune126.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ y x))
0.0b
(log1p (* x (/ 1 (+ y x))))
0.0b
(expm1 (log1p (* x (/ 1 (+ y x)))))
0.2b
(* x (/ 1 (+ y x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
29×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
18×associate-*r*
17×add-exp-log
11×add-cbrt-cube
pow1 distribute-lft-out
expm1-log1p-u
div-exp prod-exp associate-/r* associate-/r/ log1p-expm1-u add-log-exp
associate-*l* associate-/l* unswap-sqr
cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv
log1p-udef expm1-log1p pow-flip frac-2neg log1p-expm1 associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow expm1-udef
Counts
4 → 104
Calls
4 calls:
5.0ms
(/ 1 (+ y x))
1.0ms
(log1p (* x (/ 1 (+ y x))))
1.0ms
(expm1 (log1p (* x (/ 1 (+ y x)))))
10.0ms
(* x (/ 1 (+ y x)))

series215.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ 1 (+ y x))
68.0ms
(log1p (* x (/ 1 (+ y x))))
75.0ms
(expm1 (log1p (* x (/ 1 (+ y x)))))
40.0ms
(* x (/ 1 (+ y x)))

simplify64.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0254475
11051408
23576370
35001370

prune194.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

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

sample247.0ms

Algorithm
intervals
Results
124.0ms8000×body80valid