Details

Time bar (total: 2.1s)

sample12.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
083
183

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (+ y 1.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
16×times-frac
11×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
associate-/r* associate-/l*
add-exp-log add-cbrt-cube
flip3-+ associate-/r/ flip-+ associate-/l/
pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 42
Calls
1 calls:
27.0ms
(/ (+ x y) (+ y 1.0))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(/ (+ x y) (+ y 1.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0197262
1620246
21970245
35001245

prune75.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ y 1.0))
0.1b
(* (+ x y) (/ 1 (+ y 1.0)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
add-cbrt-cube
distribute-lft-out
pow1
flip3-+ div-exp associate-*l* prod-exp associate-/r* associate-/r/ flip-+
associate-/l* unswap-sqr
cbrt-undiv expm1-log1p-u frac-times rec-exp 1-exp associate-*l/ cbrt-unprod log1p-expm1-u div-inv add-log-exp
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 87
Calls
2 calls:
12.0ms
(/ 1 (+ y 1.0))
43.0ms
(* (+ x y) (/ 1 (+ y 1.0)))

series61.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ 1 (+ y 1.0))
38.0ms
(* (+ x y) (/ 1 (+ y 1.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0361480
11694416
25002380

prune139.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y 1.0) (+ x y))
0.1b
(/ 1 (/ (+ y 1.0) (+ x y)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
15×add-exp-log
11×associate-/r/
add-cbrt-cube
div-exp
associate-/l*
flip3-+ flip-+ div-inv
cbrt-undiv
pow1
expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
pow-flip inv-pow
Counts
2 → 156
Calls
2 calls:
27.0ms
(/ (+ y 1.0) (+ x y))
24.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (+ y 1.0) (+ x y))
33.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04591246
122251110
25001987

prune181.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ y 1.0))
0.0b
(/ 1 (+ x y))
0.2b
(/ (/ 1 (+ y 1.0)) (/ 1 (+ x y)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
804×times-frac
569×*-un-lft-identity
325×add-sqr-sqrt add-cube-cbrt
122×distribute-lft-out
81×associate-/r/
51×add-exp-log
41×div-inv
40×flip3-+ flip-+
36×div-exp
26×associate-/r*
24×associate-/l*
19×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
pow1
expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
pow-flip inv-pow
associate-/l/
Counts
3 → 472
Calls
3 calls:
12.0ms
(/ 1 (+ y 1.0))
14.0ms
(/ 1 (+ x y))
40.0ms
(/ (/ 1 (+ y 1.0)) (/ 1 (+ x y)))

series97.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ 1 (+ y 1.0))
33.0ms
(/ 1 (+ x y))
41.0ms
(/ (/ 1 (+ y 1.0)) (/ 1 (+ x y)))

simplify85.0ms

Algorithm
egg-herbie
Counts
481 → 481
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
016385301
150014652

prune536.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134
1134

end0.0ms

sample306.0ms

Algorithm
intervals
Results
136.0ms8000×body80valid