Details

Time bar (total: 4.4s)

sample54.0ms

Algorithm
intervals
Results
13.0ms215×body80valid
12.0ms22×body1280valid
7.0ms21×body640valid
4.0ms86×body80nan
4.0ms18×body320valid
2.0ms11×body160valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (27.0ms)

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: 2.6b

Counts
2 → 2

localize13.0ms

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)))

rewrite33.0ms

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)))

series387.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(exp (* y (log (/ y (+ z y)))))
41.0ms
(/ y (+ z y))
73.0ms
(* y (log (/ y (+ z y))))
52.0ms
(log (/ y (+ z y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05381275
120981187
250011177

prune322.0ms

Filtered
183 candidates to 108 candidates (59.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1803183
Fresh101
Picked101
Done000
Total1823185

Merged error: 0.0b

Counts
185 → 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)))

rewrite44.0ms

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:
11.0ms
(/ (pow (exp y) (log (/ y (+ z y)))) y)
5.0ms
(/ y (+ z y))
7.0ms
(pow (exp y) (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series323.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(/ (pow (exp y) (log (/ y (+ z y)))) y)
37.0ms
(/ y (+ z y))
141.0ms
(pow (exp y) (log (/ y (+ z y))))
46.0ms
(log (/ y (+ z y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06862318
128672267
250022230

prune620.0ms

Filtered
240 candidates to 178 candidates (74.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2391240
Fresh022
Picked011
Done000
Total2394243

Merged error: 0.0b

Counts
243 → 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)

series40.0ms

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

simplify64.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0184292
1491275
22110271
35001271

prune110.0ms

Filtered
53 candidates to 42 candidates (79.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New50353
Fresh112
Picked101
Done011
Total52557

Merged error: 0b

Counts
57 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
11×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
4×pow1 prod-exp add-log-exp
3×fma-def associate-*l* unswap-sqr
2×exp-neg expm1-log1p-u mul-1-neg div-exp cbrt-unprod log1p-expm1-u
1×cbrt-undiv +-commutative frac-times rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down associate-*l/ sum-log un-div-inv *-commutative flip-+ div-inv
Counts
2 → 56
Calls
2 calls:
3.0ms
(+ x (* (exp (* -1 z)) (/ 1 y)))
8.0ms
(* (exp (* -1 z)) (/ 1 y))

series44.0ms

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

simplify37.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0279350
11066307
25002283

prune175.0ms

Filtered
62 candidates to 47 candidates (75.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh033
Picked011
Done011
Total62567

Merged error: 0b

Counts
67 → 5

regimes87.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1127

end0.0ms

sample1.7s

Algorithm
intervals
Results
404.0ms783×body1280valid
403.0ms6522×body80valid
300.0ms925×body640valid
144.0ms3067×body80nan
137.0ms644×body320valid
40.0ms294×body160valid