Details

Time bar (total: 4.1s)

sample59.0ms

Algorithm
intervals
Results
13.0ms24×body1280valid
12.0ms212×body80valid
12.0ms31×body640valid
4.0ms93×body80nan
4.0ms18×body320valid
1.0msbody160valid

simplify116.0ms

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: 6.3b

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))))
8.0b
(log (/ y (+ z y)))

rewrite57.0ms

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:
34.0ms
(+ 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)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
42.0ms
(/ y (+ z y))
75.0ms
(* y (log (/ y (+ z y))))
45.0ms
(log (/ y (+ z y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03811006
11513928
25001904

prune274.0ms

Filtered
141 candidates to 90 candidates (63.8%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1392141
Fresh000
Picked101
Done000
Total1402142

Merged error: 0.0b

Counts
142 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.9b
(log (/ (cbrt y) (cbrt (+ z y))))
2.9b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite30.0ms

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)
11.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
8.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series496.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
180.0ms
(cbrt y)
72.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
67.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify76.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
03101470
17571424
223271392
350011324

prune474.0ms

Filtered
152 candidates to 102 candidates (67.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1520152
Fresh011
Picked011
Done000
Total1522154

Merged error: 0.0b

Counts
154 → 2

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
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)

series43.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ x (/ (exp (* -1 z)) y))
19.0ms
(/ (exp (* -1 z)) y)

simplify61.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0176274
1464258
22001256
35002256

prune84.0ms

Filtered
46 candidates to 35 candidates (76.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New44246
Fresh000
Picked101
Done011
Total45348

Merged error: 0.0b

Counts
48 → 3

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))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×*-un-lft-identity times-frac
10×add-cube-cbrt
add-exp-log add-cbrt-cube
pow1 prod-exp add-log-exp
associate-*l* unswap-sqr
exp-neg mul-1-neg div-exp cbrt-unprod
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 → 49
Calls
2 calls:
2.0ms
(+ x (* (exp (* -1 z)) (/ 1 y)))
8.0ms
(* (exp (* -1 z)) (/ 1 y))

series43.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ x (* (exp (* -1 z)) (/ 1 y)))
22.0ms
(* (exp (* -1 z)) (/ 1 y))

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0268328
11019287
25001267

prune90.0ms

Filtered
55 candidates to 40 candidates (72.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New55055
Fresh011
Picked011
Done011
Total55358

Merged error: 0.0b

Counts
58 → 3

regimes61.0ms

Accuracy

43.6% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.0b

bsearch51.0ms

Steps
ItersRangePoint
9
5.612942259261838e-23
3.213408159798715e-15
3.168741227912756e-15

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03621
13621

end0.0ms

sample1.7s

Algorithm
intervals
Results
414.0ms812×body1280valid
389.0ms6482×body80valid
293.0ms936×body640valid
136.0ms2978×body80nan
112.0ms545×body320valid
43.0ms326×body160valid

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