Details

Time bar (total: 4.5s)

sample30.0ms

Algorithm
intervals
Results
8.0ms264×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1405
2805
31745
43695
55035
67695
711915
814515
916065
1016065

prune4.0ms

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: 0.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
5.9b
(/ x (* (- y z) (- y t)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
add-exp-log add-cbrt-cube
frac-times associate-/r/
add-cube-cbrt
associate-*r* associate-*l*
pow1 associate-*r/ associate-*l/
times-frac associate-/l*
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
8.0ms
(* (- y z) (- y t))
8.0ms
(/ x (* (- y z) (- y t)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- y z) (- y t))
66.0ms
(/ x (* (- y z) (- y t)))

simplify39.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0304403
11399360
25002360

prune289.0ms

Filtered
69 candidates to 51 candidates (26.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New66369
Fresh000
Picked101
Done000
Total67370

Merged error: 0b

Counts
70 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.6b
(/ 1 (* (- y z) (- y t)))
5.6b
(* x (/ 1 (* (- y z) (- y t))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
20×associate-*r*
19×add-cbrt-cube
18×add-sqr-sqrt flip3-- flip--
16×associate-/r/
14×*-un-lft-identity prod-exp
12×frac-times
10×pow1 add-cube-cbrt
div-exp associate-*l*
associate-*r/
times-frac associate-*l/ cbrt-unprod
cbrt-undiv rec-exp 1-exp
pow-prod-down associate-/l* add-log-exp
distribute-rgt-in sub-neg pow-flip distribute-lft-in *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
frac-2neg clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 110
Calls
3 calls:
9.0ms
(* (- y z) (- y t))
9.0ms
(/ 1 (* (- y z) (- y t)))
14.0ms
(* x (/ 1 (* (- y z) (- y t))))

series170.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(* (- y z) (- y t))
72.0ms
(/ 1 (* (- y z) (- y t)))
66.0ms
(* x (/ 1 (* (- y z) (- y t))))

simplify65.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0428685
12242594
25001584

prune532.0ms

Filtered
119 candidates to 76 candidates (36.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1190119
Fresh022
Picked011
Done000
Total1193122

Merged error: 0b

Counts
122 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
1.8b
(/ 1 (/ (* (- y z) (- y t)) x))
5.5b
(/ (* (- y z) (- y t)) x)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
31×add-exp-log
29×add-sqr-sqrt
27×*-un-lft-identity
23×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×flip3-- flip--
10×associate-/r*
frac-times associate-/l/
cbrt-undiv
pow1 div-inv
associate-*r* associate-*l* prod-exp
associate-*r/ associate-*l/ associate-/l*
rec-exp 1-exp cbrt-unprod add-log-exp
distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num distribute-lft-out-- difference-of-squares
pow-flip pow-prod-down associate-/r/ *-commutative inv-pow unswap-sqr
Counts
3 → 119
Calls
3 calls:
9.0ms
(* (- y z) (- y t))
9.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
9.0ms
(/ (* (- y z) (- y t)) x)

series236.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* (- y z) (- y t))
151.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
54.0ms
(/ (* (- y z) (- y t)) x)

simplify71.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0530852
12893748
25001711

prune548.0ms

Filtered
128 candidates to 77 candidates (39.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh011
Picked011
Done011
Total1283131

Merged error: 0b

Counts
131 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.6b
(/ (/ x (- y z)) (- y t))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
add-exp-log add-cbrt-cube
flip3-- flip-- div-inv
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
associate-/l/
Counts
2 → 185
Calls
2 calls:
6.0ms
(/ x (- y z))
11.0ms
(/ (/ x (- y z)) (- y t))

series103.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ x (- y z))
67.0ms
(/ (/ x (- y z)) (- y t))

simplify61.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06401735
123171691
250021691

prune1.2s

Filtered
191 candidates to 129 candidates (32.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1910191
Fresh000
Picked011
Done022
Total1913194

Merged error: 0b

Counts
194 → 3

regimes263.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

sample610.0ms

Algorithm
intervals
Results
261.0ms8433×body80valid

Profiling

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