Details

Time bar (total: 1.9s)

sample28.0ms

Algorithm
intervals
Results
15.0ms321×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1223
2423
3613
4863
5973
63883
729173
850013

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: 11.9b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.4b
(/ (* x (- y z)) y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
add-exp-log add-cbrt-cube
*-un-lft-identity
add-cube-cbrt
associate-*r*
pow1 associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
6.0ms
(* x (- y z))
7.0ms
(/ (* x (- y z)) y)

series84.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* x (- y z))
46.0ms
(/ (* x (- y z)) y)

simplify34.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0219218
11044189
25001189

prune80.0ms

Filtered
55 candidates to 35 candidates (63.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New48755
Fresh000
Picked101
Done000
Total49756

Merged error: 0b

Counts
56 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.6b
(/ x (/ y (- y z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-- flip--
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
8.0ms
(/ y (- y z))
8.0ms
(/ x (/ y (- y z)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ y (- y z))
45.0ms
(/ x (/ y (- y z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04721043
122201007
250011004

prune237.0ms

Filtered
145 candidates to 108 candidates (74.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1432145
Fresh246
Picked011
Done000
Total1457152

Merged error: 0b

Counts
152 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.9b
(* x (/ (- y z) y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
associate-/l*
pow1
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
5.0ms
(/ (- y z) y)
9.0ms
(* x (/ (- y z) y))

series79.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (- y z) y)
50.0ms
(* x (/ (- y z) y))

simplify38.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0264396
11187365
25001364

prune115.0ms

Filtered
82 candidates to 56 candidates (68.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh055
Picked011
Done011
Total82789

Merged error: 0b

Counts
89 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.9b
(+ (* x y) (* x (neg z)))
11.4b
(/ (+ (* x y) (* x (neg z))) y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
distribute-lft-out
add-exp-log distribute-rgt-neg-out add-cbrt-cube associate-/l* add-log-exp
associate-/r*
pow1 flip3-+ div-sub unsub-neg flip-+ associate-/l/
cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 49
Calls
2 calls:
4.0ms
(+ (* x y) (* x (neg z)))
6.0ms
(/ (+ (* x y) (* x (neg z))) y)

series105.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ (* x y) (* x (neg z)))
68.0ms
(/ (+ (* x y) (* x (neg z))) y)

simplify37.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0205391
1851328
25001317

prune92.0ms

Filtered
55 candidates to 41 candidates (74.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New55055
Fresh044
Picked011
Done022
Total55762

Merged error: 0b

Counts
62 → 7

regimes97.0ms

Accuracy

-2.9% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 2.9b

bsearch76.0ms

Steps
ItersRangePoint
9
3.29502798601201e+274
5.793338053829384e+279
3.932326956829358e+276
9
1.1317178879467926e+104
6.061864312471244e+109
7.908165778297531e+106

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02511
12911
23011
33011

end0.0ms

sample453.0ms

Algorithm
intervals
Results
253.0ms9622×body80valid

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