Details

Time bar (total: 4.2s)

sample54.0ms

Algorithm
intervals
Results
12.0ms215×body80valid
11.0ms22×body1280valid
6.0ms21×body640valid
6.0ms86×body80nan
4.0ms18×body320valid
1.0ms11×body160valid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune2.0ms

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: 3.6b

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))))
7.4b
(log (/ y (+ z y)))

rewrite34.0ms

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:
7.0ms
(exp (* y (log (/ y (+ z y)))))
5.0ms
(/ y (+ z y))
9.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series390.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(exp (* y (log (/ y (+ z y)))))
39.0ms
(/ y (+ z y))
76.0ms
(* y (log (/ y (+ z y))))
53.0ms
(log (/ y (+ z y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05241242
120381155
250031146

prune288.0ms

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))))
7.4b
(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:
15.0ms
(/ (pow (exp y) (log (/ y (+ z y)))) y)
6.0ms
(/ y (+ z y))
8.0ms
(pow (exp y) (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series332.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(/ (pow (exp y) (log (/ y (+ z y)))) y)
39.0ms
(/ y (+ z y))
146.0ms
(pow (exp y) (log (/ y (+ z y))))
47.0ms
(log (/ y (+ z y)))

simplify79.0ms

Algorithm
egg-herbie
Counts
232 → 232
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06692280
127942231
250012195

prune570.0ms

Filtered
232 candidates to 170 candidates (73.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2311232
Fresh022
Picked011
Done000
Total2314235

Merged error: 0.0b

Counts
235 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:
5.0ms
(+ x (/ (exp (* -1 z)) y))
6.0ms
(/ (exp (* -1 z)) y)

series40.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ x (/ (exp (* -1 z)) y))
19.0ms
(/ (exp (* -1 z)) y)

simplify62.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0176274
1464258
22001256
35002256

prune90.0ms

Filtered
46 candidates to 35 candidates (76.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New43346
Fresh112
Picked101
Done011
Total45550

Merged error: 0b

Counts
50 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log
10×*-un-lft-identity add-cbrt-cube
9×add-sqr-sqrt
8×pow1
7×add-cube-cbrt
5×add-log-exp
4×div-exp prod-exp
3×times-frac associate-*r* associate-*l* associate-/l*
2×cbrt-undiv rec-exp pow-flip 1-exp pow-prod-down cbrt-unprod div-inv distribute-lft-out
1×+-commutative frac-2neg flip3-+ clear-num associate-/r* sum-log *-commutative flip-+ inv-pow unswap-sqr
Counts
3 → 59
Calls
3 calls:
5.0ms
(+ x (/ 1 (* y (exp z))))
5.0ms
(* y (exp z))
6.0ms
(/ 1 (* y (exp z)))

series73.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ x (/ 1 (* y (exp z))))
23.0ms
(* y (exp z))
20.0ms
(/ 1 (* y (exp z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0246300
11098258
25001258

prune89.0ms

Filtered
68 candidates to 42 candidates (61.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh033
Picked011
Done011
Total68573

Merged error: 0b

Counts
73 → 5

regimes67.0ms

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
0127
1127

end0.0ms

sample1.7s

Algorithm
intervals
Results
391.0ms783×body1280valid
381.0ms6522×body80valid
287.0ms925×body640valid
136.0ms3067×body80nan
133.0ms644×body320valid
40.0ms294×body160valid