Details

Time bar (total: 4.3s)

sample57.0ms

Algorithm
intervals
Results
13.0ms208×body80valid
10.0ms20×body1280valid
9.0ms28×body640valid
5.0ms23×body320valid
5.0ms103×body80nan
1.0ms9×body160valid

simplify118.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (29.0ms)

IterNodesCost
0187
1277
2547
31117
43147
58017
642176
750016

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.9b

Counts
2 → 2

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)))

rewrite37.0ms

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×expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u
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 → 171
Calls
4 calls:
7.0ms
(exp (* y (log (/ y (+ z y)))))
5.0ms
(/ y (+ z y))
8.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(exp (* y (log (/ y (+ z y)))))
38.0ms
(/ y (+ z y))
79.0ms
(* y (log (/ y (+ z y))))
48.0ms
(log (/ y (+ z y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05381275
120981187
250011177

prune323.0ms

Filtered
183 candidates to 108 candidates (59.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1803183
Fresh011
Picked101
Done000
Total1814185

Merged error: 0.0b

Counts
185 → 4

localize15.0ms

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)))

rewrite43.0ms

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×expm1-log1p-u pow-unpow pow-pow log1p-expm1-u 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 → 228
Calls
4 calls:
12.0ms
(/ (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)))

series340.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(/ (pow (exp y) (log (/ y (+ z y)))) y)
44.0ms
(/ y (+ z y))
140.0ms
(pow (exp y) (log (/ y (+ z y))))
56.0ms
(log (/ y (+ z y)))

simplify79.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06862318
128672267
250022230

prune602.0ms

Filtered
240 candidates to 178 candidates (74.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2400240
Fresh033
Picked011
Done000
Total2404244

Merged error: 0.0b

Counts
244 → 4

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
13×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-log-exp
3×add-exp-log fma-def associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
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 → 47
Calls
2 calls:
6.0ms
(+ x (/ (exp (* -1 z)) y))
4.0ms
(/ (exp (* -1 z)) y)

series44.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ x (/ (exp (* -1 z)) y))
18.0ms
(/ (exp (* -1 z)) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0184292
1491275
22110271
35001271

prune106.0ms

Filtered
53 candidates to 42 candidates (79.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New52153
Fresh022
Picked011
Done011
Total52557

Merged error: 0b

Counts
57 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log
11×*-un-lft-identity
10×add-sqr-sqrt add-cbrt-cube
8×pow1 add-cube-cbrt
5×add-log-exp
4×div-exp prod-exp
3×expm1-log1p-u fma-def times-frac associate-*r* associate-*l* log1p-expm1-u 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 → 68
Calls
3 calls:
5.0ms
(+ x (/ 1 (* y (exp z))))
6.0ms
(/ 1 (* y (exp z)))
5.0ms
(* y (exp z))

series66.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ x (/ 1 (* y (exp z))))
20.0ms
(/ 1 (* y (exp z)))
22.0ms
(* y (exp z))

simplify43.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0257322
11138280
25001278

prune110.0ms

Filtered
77 candidates to 51 candidates (66.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh022
Picked011
Done022
Total77582

Merged error: 0b

Counts
82 → 5

regimes70.0ms

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

sample1.7s

Algorithm
intervals
Results
410.0ms6566×body80valid
401.0ms777×body1280valid
278.0ms868×body640valid
146.0ms3084×body80nan
124.0ms586×body320valid
46.0ms340×body160valid