Details

Time bar (total: 2.1s)

analyze326.0ms

Algorithm
search

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms24×body80invalid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1223
2423
3613
4863
5973
63883
729173
850013

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.2b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.6b
(/ (* 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))
6.0ms
(/ (* x (- y z)) y)

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (- y z))
11.0ms
(/ (* x (- y z)) y)

simplify31.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0219218
11044189
25001189

prune62.0ms

Filtered
35 candidates to 55 candidates (-57.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New50555
Fresh000
Picked011
Done000
Total50656

Merged error: 0b

Counts
56 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
4.1b
(* 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))

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (- y z) y)
9.0ms
(* x (/ (- y z) y))

simplify37.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0264396
11187365
25001364

prune70.0ms

Filtered
54 candidates to 82 candidates (-51.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh044
Picked011
Done011
Total82688

Merged error: 0b

Counts
88 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
4.1b
(/ 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:
5.0ms
(/ y (- y z))
11.0ms
(/ x (/ y (- y z)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ y (- y z))
9.0ms
(/ x (/ y (- y z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04721043
122201007
250011004

prune119.0ms

Filtered
108 candidates to 145 candidates (-34.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1450145
Fresh033
Picked011
Done022
Total1456151

Merged error: 0b

Counts
151 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.8b
(* (* x (- y z)) (/ 1 y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×associate-*r*
16×add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity prod-exp
11×add-cube-cbrt
pow1 times-frac
associate-*r/ cbrt-unprod
div-exp associate-*l* pow-prod-down
flip3-- flip--
cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative add-log-exp
un-div-inv div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
6.0ms
(* x (- y z))
11.0ms
(* (* x (- y z)) (/ 1 y))

series20.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* x (- y z))
10.0ms
(* (* x (- y z)) (/ 1 y))

simplify50.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0351354
11922294
25002282

prune51.0ms

Filtered
42 candidates to 74 candidates (-76.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New74074
Fresh022
Picked011
Done033
Total74680

Merged error: 0b

Counts
80 → 6

regimes266.0ms

Accuracy

90.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.2b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
13027
23327
33327

end0.0ms

analyze348.0ms

Algorithm
search

sample412.0ms

Algorithm
intervals
Results
216.0ms8000×body80valid
20.0ms771×body80invalid

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