Details

Time bar (total: 3.0s)

analyze378.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
1.0ms36×body80invalid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
8.0ms
(* (* z z) (+ z 1.0))
9.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (* z z) (+ z 1.0))
14.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0380385
12326297
25001297

prune111.0ms

Filtered
33 candidates to 57 candidates (-72.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New51657
Fresh000
Picked101
Done000
Total52658

Merged error: 8.7b

Counts
58 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.5b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.8b
(/ x (* z z))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
8.0ms
(/ y (+ z 1.0))
21.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.0ms
(/ x (* z z))

series38.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ y (+ z 1.0))
21.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.0ms
(/ x (* z z))

simplify85.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
0523706
12630610
25002610

prune140.0ms

Filtered
78 candidates to 116 candidates (-48.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1088116
Fresh325
Picked101
Done000
Total11210122

Merged error: 0.0b

Counts
122 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.1b
(* (/ x z) (/ y (+ z 1.0)))
1.5b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ associate-/r* associate-/r/ div-inv unswap-sqr
3×associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 149
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
12.0ms
(* (/ x z) (/ y (+ z 1.0)))
15.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))

series26.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
11.0ms
(* (/ x z) (/ y (+ z 1.0)))
11.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))

simplify93.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
07821119
14274918
25001910

prune159.0ms

Filtered
96 candidates to 158 candidates (-64.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1544158
Fresh459
Picked011
Done000
Total15810168

Merged error: 0b

Counts
168 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ z 1.0) y)
0.4b
(/ 1 (/ (+ z 1.0) y))
1.1b
(* (/ x z) (/ 1 (/ (+ z 1.0) y)))
1.5b
(* (/ 1 z) (* (/ x z) (/ 1 (/ (+ z 1.0) y))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
321×add-exp-log
227×times-frac
171×*-un-lft-identity
150×add-sqr-sqrt
143×div-exp
130×prod-exp
117×add-cube-cbrt
97×add-cbrt-cube
54×associate-*r*
38×cbrt-undiv
37×rec-exp 1-exp
32×cbrt-unprod
26×associate-*l*
25×distribute-lft-out
19×associate-/r*
12×pow1 div-inv
10×unswap-sqr
7×frac-times associate-*r/ associate-/l*
4×pow-prod-down associate-*l/ add-log-exp
3×un-div-inv
2×frac-2neg clear-num associate-/r/ *-commutative associate-/l/
1×pow-flip flip3-+ flip-+ inv-pow
Counts
4 → 337
Calls
4 calls:
5.0ms
(/ (+ z 1.0) y)
7.0ms
(/ 1 (/ (+ z 1.0) y))
24.0ms
(* (/ x z) (/ 1 (/ (+ z 1.0) y)))
18.0ms
(* (/ 1 z) (* (/ x z) (/ 1 (/ (+ z 1.0) y))))

series30.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ (+ z 1.0) y)
5.0ms
(/ 1 (/ (+ z 1.0) y))
11.0ms
(* (/ x z) (/ 1 (/ (+ z 1.0) y)))
11.0ms
(* (/ 1 z) (* (/ x z) (/ 1 (/ (+ z 1.0) y))))

simplify61.0ms

Algorithm
egg-herbie
Counts
349 → 349
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013952718
150012227

prune280.0ms

Filtered
170 candidates to 349 candidates (-105.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3481349
Fresh268
Picked011
Done011
Total3509359

Merged error: 0b

Counts
359 → 9

regimes339.0ms

Accuracy

16.9% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03018
13018

end0.0ms

analyze373.0ms

Algorithm
search

sample501.0ms

Algorithm
intervals
Results
267.0ms8000×body80valid
50.0ms1512×body80invalid

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