Details

Time bar (total: 5.7s)

sample67.0ms

Algorithm
intervals
Results
14.0ms28×body1280valid
12.0ms213×body80valid
8.0ms27×body640valid
4.0ms87×body80nan
3.0ms16×body320valid
2.0ms13×body160valid

simplify135.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune4.0ms

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: 6.4b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b
(/ y (+ z y))
0.1b
(* y (log (/ y (+ z y))))
9.9b
(log (/ y (+ z y)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
54×log-prod
48×times-frac
41×add-sqr-sqrt
39×add-cube-cbrt
18×distribute-rgt-in distribute-lft-in
14×distribute-lft-out
11×add-exp-log
pow1 associate-/r/ add-cbrt-cube
add-log-exp
flip3-+ flip-+
associate-*r* associate-/r* div-inv
associate-*l* associate-/l*
div-exp rem-log-exp log-pow
cbrt-undiv +-commutative log-div frac-2neg pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 129
Calls
4 calls:
30.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms
(/ y (+ z y))
8.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
39.0ms
(/ y (+ z y))
77.0ms
(* y (log (/ y (+ z y))))
47.0ms
(log (/ y (+ z y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03811006
11513928
25001904

prune477.0ms

Filtered
141 candidates to 90 candidates (63.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1365141
Fresh000
Picked101
Done000
Total1375142

Merged error: 0.0b

Counts
142 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
4.2b
(log (/ (cbrt y) (cbrt (+ z y))))
4.2b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod log-prod
84×*-un-lft-identity times-frac
60×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
10×add-exp-log
pow1
cbrt-div rem-log-exp associate-/r/ add-cbrt-cube add-log-exp
log-div flip3-+ pow1/3 div-exp log-pow flip-+ div-inv
Counts
4 → 140
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
7.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series493.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt y)
172.0ms
(cbrt y)
71.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
70.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify74.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
03101470
17571424
223271392
350011324

prune733.0ms

Filtered
152 candidates to 102 candidates (67.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1520152
Fresh044
Picked011
Done000
Total1525157

Merged error: 0.0b

Counts
157 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
times-frac
add-cbrt-cube add-log-exp
add-exp-log associate-/r* associate-/l*
pow1
cbrt-undiv +-commutative exp-neg frac-2neg mul-1-neg flip3-+ div-exp clear-num sum-log flip-+ div-inv associate-/l/ distribute-lft-out
Counts
2 → 40
Calls
2 calls:
5.0ms
(+ x (/ (exp (* -1 z)) y))
4.0ms
(/ (exp (* -1 z)) y)

series38.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ x (/ (exp (* -1 z)) y))
18.0ms
(/ (exp (* -1 z)) y)

simplify60.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0176274
1464258
21971255
35003255

prune169.0ms

Filtered
46 candidates to 35 candidates (76.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New45146
Fresh033
Picked101
Done011
Total46551

Merged error: 0.0b

Counts
51 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (/ -1 (exp z)) (neg y)))
0.0b
(/ (/ -1 (exp z)) (neg y))
0.0b
(/ -1 (exp z))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
238×times-frac
132×*-un-lft-identity
130×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-neg-in distribute-rgt-neg-in
16×associate-/l*
14×neg-mul-1
13×associate-/r* div-inv
10×add-cbrt-cube
add-exp-log
add-log-exp
cbrt-undiv div-exp
pow1
frac-2neg clear-num
+-commutative flip3-+ sum-log flip-+ associate-/l/ distribute-lft-out
Counts
3 → 207
Calls
3 calls:
28.0ms
(+ x (/ (/ -1 (exp z)) (neg y)))
9.0ms
(/ (/ -1 (exp z)) (neg y))
4.0ms
(/ -1 (exp z))

series54.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ x (/ (/ -1 (exp z)) (neg y)))
16.0ms
(/ (/ -1 (exp z)) (neg y))
13.0ms
(/ -1 (exp z))

simplify97.0ms

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
07951968
138301926
250021772

prune585.0ms

Filtered
216 candidates to 131 candidates (60.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2160216
Fresh033
Picked011
Done011
Total2165221

Merged error: 0.0b

Counts
221 → 5

regimes453.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

sample1.8s

Algorithm
intervals
Results
384.0ms6541×body80valid
382.0ms775×body1280valid
279.0ms909×body640valid
134.0ms3086×body80nan
123.0ms598×body320valid
40.0ms311×body160valid

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