Details

Time bar (total: 1.6s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1143
2173
3183
4183

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

8.6b
(/ (* x y) (+ y 1.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log add-cbrt-cube
times-frac associate-/r*
add-sqr-sqrt add-cube-cbrt
cbrt-undiv div-exp associate-/r/ distribute-lft-out
pow1 expm1-log1p-u frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
6.0ms
(/ (* x y) (+ y 1.0))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(/ (* x y) (+ y 1.0))

simplify150.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 3 (141.0ms)

IterNodesCost
0200154
1910129
24740126
35001124

prune54.0ms

Filtered
30 candidates to 22 candidates (73.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New27330
Fresh000
Picked101
Done000
Total28331

Merged error: 0b

Counts
31 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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
add-exp-log add-cbrt-cube
associate-/l*
div-inv
cbrt-undiv div-exp
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
flip3-+ associate-/r/ flip-+
Counts
2 → 119
Calls
2 calls:
6.0ms
(/ (+ y 1.0) y)
12.0ms
(/ x (/ (+ y 1.0) y))

series104.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (+ y 1.0) y)
47.0ms
(/ x (/ (+ y 1.0) y))

simplify63.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0434830
11898791
25002787

prune199.0ms

Filtered
125 candidates to 90 candidates (72.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1241125
Fresh112
Picked011
Done000
Total1253128

Merged error: 0b

Counts
128 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ y 1.0))
7.7b
(* (/ x (+ y 1.0)) y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*l*
add-exp-log add-cbrt-cube
distribute-lft-out
pow1 associate-/r* associate-/r/
associate-*r* associate-/l*
cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp unswap-sqr
frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 74
Calls
2 calls:
5.0ms
(/ x (+ y 1.0))
9.0ms
(* (/ x (+ y 1.0)) y)

series87.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ x (+ y 1.0))
46.0ms
(* (/ x (+ y 1.0)) y)

simplify46.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0311395
11242355
25002351

prune126.0ms

Filtered
80 candidates to 59 candidates (73.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh011
Picked011
Done011
Total80383

Merged error: 0b

Counts
83 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ (+ y 1.0) (* x y)))
8.7b
(/ (+ y 1.0) (* x y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
33×*-un-lft-identity
28×add-exp-log
21×add-sqr-sqrt add-cube-cbrt
16×add-cbrt-cube
14×div-exp
associate-/r*
cbrt-undiv associate-/l*
div-inv distribute-lft-out
prod-exp
pow1 rec-exp 1-exp
expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 89
Calls
2 calls:
8.0ms
(/ 1 (/ (+ y 1.0) (* x y)))
7.0ms
(/ (+ y 1.0) (* x y))

series85.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ 1 (/ (+ y 1.0) (* x y)))
37.0ms
(/ (+ y 1.0) (* x y))

simplify58.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0376590
11864504
25001451

prune98.0ms

Filtered
95 candidates to 49 candidates (51.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh000
Picked011
Done022
Total95398

Merged error: 0b

Counts
98 → 3

regimes29.0ms

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
073
173

end0.0ms

sample295.0ms

Algorithm
intervals
Results
164.0ms8000×body80valid