Details

Time bar (total: 5.1s)

sample57.0ms

Algorithm
intervals
Results
13.0ms207×body80valid
12.0ms39×body640valid
10.0ms21×body1280valid
4.0ms91×body80nan
2.0ms11×body320valid
2.0ms11×body160valid

simplify119.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

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: 6.9b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ z y))
0.0b
(exp (* y (log (/ y (+ z y)))))
0.1b
(* y (log (/ y (+ z y))))
8.3b
(log (/ y (+ z y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
90×log-prod
72×times-frac
57×add-sqr-sqrt
55×add-cube-cbrt
36×distribute-rgt-in distribute-lft-in exp-sum
19×distribute-lft-out
12×associate-/r/
11×add-exp-log
8×pow1 add-cbrt-cube
6×flip3-+ flip-+ div-inv add-log-exp
4×associate-*r* associate-/r*
3×associate-*l* associate-/l*
2×div-exp rem-log-exp log-pow
1×cbrt-undiv log-div exp-prod exp-to-pow frac-2neg pow-prod-down prod-exp clear-num *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 163
Calls
4 calls:
6.0ms
(/ y (+ z y))
7.0ms
(exp (* y (log (/ y (+ z y)))))
8.0ms
(* y (log (/ y (+ z y))))
8.0ms
(log (/ y (+ z y)))

series391.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ y (+ z y))
225.0ms
(exp (* y (log (/ y (+ z y)))))
78.0ms
(* y (log (/ y (+ z y))))
48.0ms
(log (/ y (+ z y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05241242
120381155
250011146

prune312.0ms

Filtered
175 candidates to 100 candidates (57.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1723175
Fresh000
Picked101
Done000
Total1733176

Merged error: 0.1b

Counts
176 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (pow (exp y) (log (/ y (+ z y)))) y)
0.0b
(/ y (+ z y))
0.1b
(pow (exp y) (log (/ y (+ z y))))
8.3b
(log (/ y (+ z y)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
142×*-un-lft-identity
108×log-prod
98×add-sqr-sqrt add-cube-cbrt
90×unpow-prod-up
28×associate-/l*
22×distribute-lft-out
15×unpow-prod-down
14×associate-/r/
13×add-exp-log
8×add-cbrt-cube div-inv
7×pow1 flip3-+ associate-/r* flip-+
5×div-exp sqr-pow
4×pow-unpow pow-pow add-log-exp
3×log-div exp-prod
2×cbrt-undiv pow-to-exp frac-2neg rem-log-exp pow-exp clear-num log-pow pow-sub
1×associate-/l/
Counts
4 → 220
Calls
4 calls:
13.0ms
(/ (pow (exp y) (log (/ y (+ z y)))) y)
5.0ms
(/ y (+ z y))
8.0ms
(pow (exp y) (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series339.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(/ (pow (exp y) (log (/ y (+ z y)))) y)
38.0ms
(/ y (+ z y))
147.0ms
(pow (exp y) (log (/ y (+ z y))))
54.0ms
(log (/ y (+ z y)))

simplify88.0ms

Algorithm
egg-herbie
Counts
232 → 232
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06692280
127942231
250012195

prune572.0ms

Filtered
232 candidates to 170 candidates (73.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2320232
Fresh022
Picked011
Done000
Total2323235

Merged error: 0.1b

Counts
235 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (sqrt (/ y (+ z y))) y)
0.2b
(pow (sqrt (/ y (+ z y))) y)
6.3b
(sqrt (/ y (+ z y)))
6.3b
(sqrt (/ y (+ z y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
64×*-un-lft-identity
50×times-frac
46×add-sqr-sqrt
42×unpow-prod-down
40×add-cube-cbrt
12×distribute-lft-out
10×pow1
8×associate-/r/
6×add-exp-log pow-unpow pow-pow
4×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ div-inv add-log-exp
2×pow-to-exp sqrt-div pow-exp sqrt-pow2 sqr-pow
Counts
4 → 136
Calls
4 calls:
8.0ms
(pow (sqrt (/ y (+ z y))) y)
7.0ms
(pow (sqrt (/ y (+ z y))) y)
5.0ms
(sqrt (/ y (+ z y)))
5.0ms
(sqrt (/ y (+ z y)))

series640.0ms

Counts
4 → 12
Calls
4 calls:
259.0ms
(pow (sqrt (/ y (+ z y))) y)
261.0ms
(pow (sqrt (/ y (+ z y))) y)
59.0ms
(sqrt (/ y (+ z y)))
61.0ms
(sqrt (/ y (+ z y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03541080
112611006
25001988

prune376.0ms

Filtered
148 candidates to 104 candidates (70.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1480148
Fresh011
Picked011
Done011
Total1483151

Merged error: 0.1b

Counts
151 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (exp (* -1 z)) y)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×associate-/r* add-cbrt-cube associate-/l*
2×add-exp-log
1×pow1 cbrt-undiv exp-neg frac-2neg mul-1-neg div-exp clear-num div-inv associate-/l/ add-log-exp
Counts
1 → 28
Calls
1 calls:
5.0ms
(/ (exp (* -1 z)) y)

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(/ (exp (* -1 z)) y)

simplify53.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0114186
1303172
21435169
35001169

prune57.0ms

Filtered
31 candidates to 23 candidates (74.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New29231
Fresh000
Picked101
Done022
Total30434

Merged error: 0.1b

Counts
34 → 4

regimes64.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1127

end0.0ms

sample1.7s

Algorithm
intervals
Results
406.0ms6539×body80valid
399.0ms776×body1280valid
306.0ms961×body640valid
141.0ms3008×body80nan
122.0ms554×body320valid
48.0ms341×body160valid

Profiling

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