Details

Time bar (total: 3.8s)

sample62.0ms

Algorithm
intervals
Results
12.0ms216×body80valid
12.0ms22×body1280valid
11.0ms35×body640valid
4.0ms96×body80nan
3.0ms15×body320valid
1.0ms9×body160valid

simplify116.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.8b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* y (log (/ y (+ z y)))))
0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b
(* y (log (/ y (+ z y))))
8.2b
(log (/ y (+ z y)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
90×log-prod
78×*-un-lft-identity
60×times-frac
48×add-sqr-sqrt
46×add-cube-cbrt
36×distribute-rgt-in distribute-lft-in exp-sum
16×distribute-lft-out
10×associate-/r/
9×add-exp-log
8×pow1 add-log-exp
6×flip3-+ add-cbrt-cube flip-+
5×div-inv
4×associate-*r*
3×associate-*l*
2×rem-log-exp log-pow
1×+-commutative log-div exp-prod exp-to-pow div-exp pow-prod-down prod-exp sum-log *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 142
Calls
4 calls:
7.0ms
(exp (* y (log (/ y (+ z y)))))
33.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
8.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series67.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(exp (* y (log (/ y (+ z y)))))
20.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
18.0ms
(* y (log (/ y (+ z y))))
12.0ms
(log (/ y (+ z y)))

simplify71.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
07201377
127031272
250011255

prune163.0ms

Filtered
88 candidates to 154 candidates (-75.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1495154
Fresh000
Picked101
Done000
Total1505155

Merged error: 0.9b

Counts
155 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ z y))
0.0b
(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
0.3b
(pow (exp y) (log (/ y (+ z y))))
8.2b
(log (/ y (+ z y)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
36×log-prod times-frac
32×add-sqr-sqrt add-cube-cbrt
18×unpow-prod-up
11×distribute-lft-out
9×add-exp-log
7×pow1
6×associate-/r/ add-cbrt-cube add-log-exp
4×pow-unpow pow-pow flip3-+ associate-/r* flip-+
3×unpow-prod-down exp-prod div-inv associate-/l*
2×log-div div-exp rem-log-exp log-pow
1×cbrt-undiv +-commutative pow-to-exp frac-2neg pow-exp clear-num sum-log pow-sub sqr-pow
Counts
4 → 114
Calls
4 calls:
5.0ms
(/ y (+ z y))
22.0ms
(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
9.0ms
(pow (exp y) (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series95.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ y (+ z y))
23.0ms
(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
56.0ms
(pow (exp y) (log (/ y (+ z y))))
12.0ms
(log (/ y (+ z y)))

simplify66.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06301046
12338938
25001933

prune159.0ms

Filtered
92 candidates to 126 candidates (-37.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1233126
Fresh314
Picked011
Done000
Total1265131

Merged error: 0.2b

Counts
131 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
8.2b
(log (/ y (+ z y)))
8.2b
(log (/ y (+ z y)))
8.2b
(log (/ y (+ z y)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
54×log-prod
49×*-un-lft-identity
36×times-frac
29×add-sqr-sqrt add-cube-cbrt
13×add-exp-log
10×distribute-lft-out
7×pow1
6×rem-log-exp associate-/r/
4×cbrt-prod flip3-+ add-cbrt-cube flip-+ add-log-exp
3×log-div div-exp log-pow div-inv
2×cbrt-div
1×pow1/3
Counts
4 → 101
Calls
4 calls:
30.0ms
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
5.0ms
(log (/ y (+ z y)))
5.0ms
(log (/ y (+ z y)))
7.0ms
(log (/ y (+ z y)))

series94.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
12.0ms
(log (/ y (+ z y)))
14.0ms
(log (/ y (+ z y)))
12.0ms
(log (/ y (+ z y)))

simplify107.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0389911
11032842
23263799
35002797

prune141.0ms

Filtered
83 candidates to 113 candidates (-36.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1112113
Fresh123
Picked101
Done011
Total1135118

Merged error: 0.2b

Counts
118 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

8.2b
(log (/ y (+ z y)))
8.2b
(log (/ y (+ z y)))
8.2b
(log (/ y (+ z y)))
8.2b
(log (/ y (+ z y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
72×log-prod
60×*-un-lft-identity
48×times-frac
36×add-sqr-sqrt add-cube-cbrt
16×add-exp-log
12×distribute-lft-out
8×pow1 rem-log-exp associate-/r/
4×log-div flip3-+ div-exp log-pow add-cbrt-cube flip-+ div-inv add-log-exp
Counts
4 → 116
Calls
4 calls:
5.0ms
(log (/ y (+ z y)))
5.0ms
(log (/ y (+ z y)))
5.0ms
(log (/ y (+ z y)))
5.0ms
(log (/ y (+ z y)))

series45.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(log (/ y (+ z y)))
11.0ms
(log (/ y (+ z y)))
11.0ms
(log (/ y (+ z y)))
11.0ms
(log (/ y (+ z y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 3 (21.0ms)

IterNodesCost
0160808
1336744
2778712
32013704
45001704

prune147.0ms

Filtered
92 candidates to 128 candidates (-39.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh033
Picked011
Done011
Total1285133

Merged error: 0.2b

Counts
133 → 5

regimes340.0ms

Accuracy

0% (0.5b remaining)

Error of 1.1b against oracle of 0.6b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1127

end0.0ms

sample1.8s

Algorithm
intervals
Results
399.0ms791×body1280valid
386.0ms6478×body80valid
317.0ms1001×body640valid
132.0ms2893×body80nan
119.0ms555×body320valid
42.0ms305×body160valid

Profiling

Loading profile data...