Details

Time bar (total: 2.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

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: 7.9b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

7.9b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune135.0ms

Filtered
55 candidates to 37 candidates (67.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New451055
Fresh000
Picked011
Done000
Total451156

Merged error: 6.6b

Counts
56 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (- 1.0 (/ y z)))
7.9b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- 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 distribute-lft-out inv-pow
Counts
2 → 101
Calls
2 calls:
9.0ms
(/ 1 (- 1.0 (/ y z)))
17.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series109.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ 1 (- 1.0 (/ y z)))
62.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify56.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0351684
11631607
25001557

prune182.0ms

Filtered
107 candidates to 60 candidates (56.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1043107
Fresh279
Picked101
Done011
Total10711118

Merged error: 6.6b

Counts
118 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (expm1 (/ 1 (- 1.0 (/ y z)))))
0.1b
(/ 1 (- 1.0 (/ y z)))
0.5b
(expm1 (/ 1 (- 1.0 (/ y z))))
7.9b
(* (+ x y) (log1p (expm1 (/ 1 (- 1.0 (/ y z))))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
27×*-un-lft-identity
22×times-frac
17×add-cube-cbrt
10×add-exp-log
8×add-cbrt-cube difference-of-squares
7×pow1
6×associate-/r*
5×log1p-expm1-u
4×expm1-log1p-u associate-*l* distribute-lft-out-- add-log-exp
3×associate-*r* associate-/l*
2×div-exp associate-*l/ associate-/r/
1×cbrt-undiv rec-exp log1p-udef expm1-log1p flip3-- pow-flip frac-2neg flip3-+ 1-exp log1p-expm1 pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod flip-+ div-inv distribute-lft-out inv-pow expm1-udef unswap-sqr
Counts
4 → 92
Calls
4 calls:
1.0ms
(log1p (expm1 (/ 1 (- 1.0 (/ y z)))))
9.0ms
(/ 1 (- 1.0 (/ y z)))
1.0ms
(expm1 (/ 1 (- 1.0 (/ y z))))
6.0ms
(* (+ x y) (log1p (expm1 (/ 1 (- 1.0 (/ y z))))))

series296.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(log1p (expm1 (/ 1 (- 1.0 (/ y z)))))
50.0ms
(/ 1 (- 1.0 (/ y z)))
65.0ms
(expm1 (/ 1 (- 1.0 (/ y z))))
113.0ms
(* (+ x y) (log1p (expm1 (/ 1 (- 1.0 (/ y z))))))

simplify91.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0278623
11008535
23636504
35001504

prune208.0ms

Filtered
104 candidates to 66 candidates (63.5%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh189
Picked011
Done011
Total10411115

Merged error: 6.6b

Counts
115 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.9b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 199
Calls
2 calls:
15.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
19.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series185.0ms

Counts
2 → 6
Calls
2 calls:
139.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
46.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify81.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05972063
126631879
250011714

prune233.0ms

Filtered
205 candidates to 89 candidates (43.4%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2041205
Fresh178
Picked011
Done112
Total20610216

Merged error: 6.6b

Counts
216 → 10

regimes164.0ms

Accuracy

0% (2.0b remaining)

Error of 7.6b against oracle of 5.6b and baseline of 7.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample404.0ms

Algorithm
intervals
Results
236.0ms7998×body80valid
0.0ms1×body1280valid
0.0ms1×body160valid

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