Details

Time bar (total: 3.4s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×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: 8.1b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

8.1b
(/ (+ 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:
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune136.0ms

Filtered
55 candidates to 37 candidates (67.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New48755
Fresh000
Picked011
Done000
Total48856

Merged error: 5.9b

Counts
56 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.1b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite44.0ms

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:
19.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
14.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series182.0ms

Counts
2 → 6
Calls
2 calls:
136.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
46.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify78.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05972063
126631879
250011714

prune306.0ms

Filtered
205 candidates to 90 candidates (43.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2005205
Fresh516
Picked011
Done011
Total2058213

Merged error: 5.9b

Counts
213 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ 1 (- 1.0 (/ y z)))
7.1b
(* (/ 1 (- 1.0 (/ y z))) (+ x y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*l*
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-*r* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*r/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out inv-pow
Counts
2 → 102
Calls
2 calls:
8.0ms
(/ 1 (- 1.0 (/ y z)))
15.0ms
(* (/ 1 (- 1.0 (/ y z))) (+ x y))

series185.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ 1 (- 1.0 (/ y z)))
136.0ms
(* (/ 1 (- 1.0 (/ y z))) (+ x y))

simplify58.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0500693
12319613
25002575

prune219.0ms

Filtered
108 candidates to 66 candidates (61.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1071108
Fresh145
Picked011
Done022
Total1088116

Merged error: 5.9b

Counts
116 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
0.1b
(/ (/ (+ x y) (sqrt (- 1.0 (/ y z)))) (sqrt (- 1.0 (/ y z))))
4.0b
(sqrt (- 1.0 (/ y z)))
4.0b
(sqrt (- 1.0 (/ y z)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
864×times-frac
744×add-sqr-sqrt
672×*-un-lft-identity
540×sqrt-prod
292×add-cube-cbrt
180×difference-of-squares
100×distribute-lft-out
90×distribute-lft-out--
46×associate-/l*
28×sqrt-div
24×associate-/r/
18×associate-/r*
14×flip3-- flip--
12×div-inv
11×add-exp-log add-cbrt-cube
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×flip3-+ flip-+
Counts
4 → 555
Calls
4 calls:
11.0ms
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
29.0ms
(/ (/ (+ x y) (sqrt (- 1.0 (/ y z)))) (sqrt (- 1.0 (/ y z))))
9.0ms
(sqrt (- 1.0 (/ y z)))
9.0ms
(sqrt (- 1.0 (/ y z)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
57.0ms
(/ (/ (+ x y) (sqrt (- 1.0 (/ y z)))) (sqrt (- 1.0 (/ y z))))
87.0ms
(sqrt (- 1.0 (/ y z)))
94.0ms
(sqrt (- 1.0 (/ y z)))

simplify152.0ms

Algorithm
egg-herbie
Counts
567 → 567
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
011509975
139569116
250019097

prune894.0ms

Filtered
567 candidates to 215 candidates (37.9%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New5661567
Fresh134
Picked011
Done033
Total5678575

Merged error: 5.9b

Counts
575 → 8

regimes159.0ms

Accuracy

67.6% (0.6b remaining)

Error of 6.1b against oracle of 5.5b and baseline of 7.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03126
13126

end0.0ms

sample377.0ms

Algorithm
intervals
Results
209.0ms7997×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid