Details

Time bar (total: 4.6s)

sample57.0ms

Algorithm
intervals
Results
12.0ms208×body80valid
10.0ms20×body1280valid
9.0ms28×body640valid
7.0ms103×body80nan
5.0ms23×body320valid
1.0ms9×body160valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 5.2b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* y (log (/ y (+ z y)))))
0.0b
(/ y (+ z y))
0.1b
(* y (log (/ y (+ z y))))
7.7b
(log (/ y (+ z y)))

rewrite35.0ms

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:
8.0ms
(exp (* y (log (/ y (+ z y)))))
5.0ms
(/ y (+ z y))
9.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series383.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(exp (* y (log (/ y (+ z y)))))
38.0ms
(/ y (+ z y))
74.0ms
(* y (log (/ y (+ z y))))
50.0ms
(log (/ y (+ z y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05241242
120381155
250031146

prune302.0ms

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: 0.0b

Counts
176 → 3

localize10.0ms

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))))
7.7b
(log (/ y (+ z y)))

rewrite46.0ms

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:
12.0ms
(/ (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)))

series331.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(/ (pow (exp y) (log (/ y (+ z y)))) y)
39.0ms
(/ y (+ z y))
143.0ms
(pow (exp y) (log (/ y (+ z y))))
48.0ms
(log (/ y (+ z y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
232 → 232
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06692280
127942231
250012195

prune571.0ms

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: 0.0b

Counts
235 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* 1 (pow (/ y (+ z y)) y)) y)
0.0b
(/ y (+ z y))
5.5b
(pow (/ y (+ z y)) y)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
30×add-exp-log
27×times-frac
23×add-sqr-sqrt add-cube-cbrt
18×unpow-prod-down
13×div-exp
10×add-cbrt-cube
8×prod-exp
7×associate-/r* distribute-lft-out
6×pow-exp
4×pow1 1-exp associate-/r/ associate-/l*
3×cbrt-undiv pow-to-exp pow-unpow div-inv add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×pow-pow cbrt-unprod sqr-pow
Counts
3 → 94
Calls
3 calls:
16.0ms
(/ (* 1 (pow (/ y (+ z y)) y)) y)
5.0ms
(/ y (+ z y))
7.0ms
(pow (/ y (+ z y)) y)

series404.0ms

Counts
3 → 9
Calls
3 calls:
133.0ms
(/ (* 1 (pow (/ y (+ z y)) y)) y)
44.0ms
(/ y (+ z y))
227.0ms
(pow (/ y (+ z y)) y)

simplify63.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0464609
12105573
25001573

prune173.0ms

Filtered
103 candidates to 67 candidates (65.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh011
Picked011
Done011
Total1033106

Merged error: 0.0b

Counts
106 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/r* associate-/l*
2×pow1
1×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:
6.0ms
(+ x (/ (exp (* -1 z)) y))
4.0ms
(/ (exp (* -1 z)) y)

series44.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ x (/ (exp (* -1 z)) y))
23.0ms
(/ (exp (* -1 z)) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0176274
1464258
22001256
35002256

prune82.0ms

Filtered
46 candidates to 35 candidates (76.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New45146
Fresh000
Picked011
Done022
Total45449

Merged error: 0b

Counts
49 → 4

regimes59.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1127

end0.0ms

sample1.6s

Algorithm
intervals
Results
390.0ms777×body1280valid
389.0ms6566×body80valid
273.0ms868×body640valid
139.0ms3084×body80nan
120.0ms586×body320valid
44.0ms340×body160valid