Details

Time bar (total: 3.7s)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

prune3.0ms

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: 7.4b

Counts
2 → 1

localize11.0ms

Local error

Found 1 expressions with local error:

7.4b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite15.0ms

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:
13.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify67.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune139.0ms

Filtered
55 candidates to 37 candidates (67.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New47855
Fresh000
Picked011
Done000
Total47956

Merged error: 6.4b

Counts
56 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (- 1.0 (/ y z)))
6.9b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite39.0ms

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:
10.0ms
(/ 1 (- 1.0 (/ y z)))
24.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series118.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ 1 (- 1.0 (/ y z)))
59.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify58.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0351684
11631607
25001557

prune190.0ms

Filtered
107 candidates to 62 candidates (57.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh167
Picked011
Done011
Total1079116

Merged error: 6.4b

Counts
116 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.4b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite47.0ms

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:
17.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
16.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series195.0ms

Counts
2 → 6
Calls
2 calls:
138.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
57.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify86.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05972063
126631879
250011714

prune272.0ms

Filtered
205 candidates to 91 candidates (44.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2041205
Fresh156
Picked011
Done022
Total2059214

Merged error: 6.4b

Counts
214 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (+ x y) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))))
7.2b
(cbrt (/ 1 (- 1.0 (/ y z))))
7.2b
(cbrt (/ 1 (- 1.0 (/ y z))))
7.2b
(cbrt (/ 1 (- 1.0 (/ y z))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
72×cbrt-prod
63×times-frac
55×*-un-lft-identity
35×add-cube-cbrt
18×difference-of-squares
15×cbrt-div
9×pow1 add-exp-log frac-times distribute-lft-out--
7×add-cbrt-cube
6×associate-*r/ associate-/r/
5×associate-*l/
4×expm1-log1p-u flip3-+ associate-*l* flip-+ log1p-expm1-u add-log-exp
3×flip3-- pow1/3 pow-prod-down prod-exp flip-- cbrt-unprod div-inv
1×associate-*r* *-commutative distribute-lft-out unswap-sqr
Counts
4 → 138
Calls
4 calls:
33.0ms
(* (+ x y) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))))
10.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
9.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
9.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

series1.2s

Counts
4 → 12
Calls
4 calls:
259.0ms
(* (+ x y) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))))
303.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
314.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
318.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

simplify128.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04361557
112501475
244281408
350011408

prune402.0ms

Filtered
150 candidates to 106 candidates (70.7%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1500150
Fresh055
Picked011
Done033
Total1509159

Merged error: 6.4b

Counts
159 → 9

regimes165.0ms

Accuracy

0% (1.7b remaining)

Error of 7.1b against oracle of 5.4b and baseline of 7.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample421.0ms

Algorithm
intervals
Results
249.0ms7995×body80valid
0.0ms2×body640valid
0.0ms1×body2560valid
0.0ms1×body1280valid
0.0ms1×body320valid