Details

Time bar (total: 1.5s)

sample21.0ms

Algorithm
intervals
Results
7.0ms299×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1223
2423
3613
4863
5973
63883
729173
850013

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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))
11.5b
(/ (* x (- y z)) y)

rewrite18.0ms

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))
10.0ms
(/ (* x (- y z)) y)

series16.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (- y z))
9.0ms
(/ (* x (- y z)) y)

simplify32.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0219218
11044189
25001189

prune57.0ms

Filtered
55 candidates to 35 candidates (36.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New51455
Fresh000
Picked011
Done000
Total51556

Merged error: 0.0b

Counts
56 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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))
8.0ms
(/ x (/ y (- y z)))

series15.0ms

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

simplify63.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04721043
122201007
250011004

prune115.0ms

Filtered
145 candidates to 108 candidates (25.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1432145
Fresh123
Picked011
Done011
Total1446150

Merged error: 0b

Counts
150 → 6

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))

series14.0ms

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

simplify35.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0264396
11187365
25001364

prune62.0ms

Filtered
82 candidates to 56 candidates (31.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh033
Picked011
Done022
Total82688

Merged error: 0b

Counts
88 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* y (/ 1 (- y z)))
2.9b
(/ x (* y (/ 1 (- y z))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
prod-exp
distribute-lft-out-- difference-of-squares
pow1 cbrt-undiv associate-/r* associate-/r/ associate-/l*
cbrt-unprod
rec-exp 1-exp associate-*l* div-inv add-log-exp unswap-sqr
flip3-- frac-2neg associate-*r/ clear-num un-div-inv flip--
pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 112
Calls
3 calls:
7.0ms
(/ 1 (- y z))
10.0ms
(* y (/ 1 (- y z)))
8.0ms
(/ x (* y (/ 1 (- y z))))

series18.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- y z))
5.0ms
(* y (/ 1 (- y z)))
9.0ms
(/ x (* y (/ 1 (- y z))))

simplify39.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0349563
11575471
25001419

prune74.0ms

Filtered
121 candidates to 65 candidates (46.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1210121
Fresh022
Picked011
Done033
Total1216127

Merged error: 0b

Counts
127 → 6

regimes240.0ms

Accuracy

81.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02427
12427

end0.0ms

sample562.0ms

Algorithm
intervals
Results
230.0ms9532×body80valid

Profiling

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