Details

Time bar (total: 2.3s)

sample22.0ms

Algorithm
intervals
Results
11.0ms331×body80valid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (34.0ms)

IterNodesCost
0226
1466
21116
32376
44056
55956
69196
726275
850015

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 0.25 (/ (- x z) y))
0.0b
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
0.0b
(/ (- x z) y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
7×add-log-exp
5×add-exp-log add-cbrt-cube associate-/l*
4×distribute-lft-out-- difference-of-squares
3×pow1 associate-/r*
2×+-commutative associate-+r+ flip3-+ div-sub sum-log flip-+ associate-/l/
1×cbrt-undiv distribute-rgt-in associate-+r- flip3-- frac-2neg distribute-lft-in div-exp clear-num flip-- div-inv distribute-lft-out
Counts
3 → 64
Calls
3 calls:
8.0ms
(+ 0.25 (/ (- x z) y))
3.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
8.0ms
(/ (- x z) y)

series65.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ 0.25 (/ (- x z) y))
25.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
25.0ms
(/ (- x z) y)

simplify36.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0326399
11055367
25001367

prune130.0ms

Filtered
73 candidates to 53 candidates (72.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New69473
Fresh101
Picked101
Done000
Total71475

Merged error: 0b

Counts
75 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 4.0 (/ (- x z) y))
0.0b
(+ 2.0 (* 4.0 (/ (- x z) y)))
0.0b
(/ (- x z) y)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
16.0ms
(* 4.0 (/ (- x z) y))
5.0ms
(+ 2.0 (* 4.0 (/ (- x z) y)))
7.0ms
(/ (- x z) y)

series95.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* 4.0 (/ (- x z) y))
28.0ms
(+ 2.0 (* 4.0 (/ (- x z) y)))
30.0ms
(/ (- x z) y)

simplify41.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0344492
11510453
25001453

prune186.0ms

Filtered
96 candidates to 66 candidates (68.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New93396
Fresh303
Picked101
Done000
Total973100

Merged error: 0b

Counts
100 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 4.0 (- (/ x y) (/ z y)))
0.0b
(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
0.0b
(- (/ x y) (/ z y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
20×times-frac
12×associate-*r*
9×add-cube-cbrt
8×distribute-lft-out-- difference-of-squares
7×add-log-exp
5×pow1 add-exp-log sub-neg add-cbrt-cube
4×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ div-inv
3×associate-*l*
2×flip3-- distribute-rgt-out-- frac-sub flip-- sub-div
1×+-commutative flip3-+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 73
Calls
3 calls:
16.0ms
(* 4.0 (- (/ x y) (/ z y)))
4.0ms
(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
12.0ms
(- (/ x y) (/ z y))

series83.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* 4.0 (- (/ x y) (/ z y)))
25.0ms
(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
23.0ms
(- (/ x y) (/ z y))

simplify38.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0303474
11198442
25001442

prune122.0ms

Filtered
82 candidates to 57 candidates (69.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New81182
Fresh112
Picked011
Done000
Total82385

Merged error: 0b

Counts
85 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (/ 1 (/ y (- x z))))
0.0b
(+ 2.0 (* 4.0 (/ 1 (/ y (- x z)))))
0.0b
(/ y (- x z))
0.3b
(/ 1 (/ y (- x z)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
186×add-sqr-sqrt
174×*-un-lft-identity
122×add-cube-cbrt
68×associate-*r*
36×add-exp-log
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-- flip--
7×pow1 cbrt-undiv prod-exp
6×associate-/l* add-log-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 253
Calls
4 calls:
22.0ms
(* 4.0 (/ 1 (/ y (- x z))))
2.0ms
(+ 2.0 (* 4.0 (/ 1 (/ y (- x z)))))
5.0ms
(/ y (- x z))
9.0ms
(/ 1 (/ y (- x z)))

series134.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* 4.0 (/ 1 (/ y (- x z))))
23.0ms
(+ 2.0 (* 4.0 (/ 1 (/ y (- x z)))))
27.0ms
(/ y (- x z))
36.0ms
(/ 1 (/ y (- x z)))

simplify92.0ms

Algorithm
egg-herbie
Counts
265 → 265
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07741791
138771578
250021382

prune361.0ms

Filtered
265 candidates to 151 candidates (57.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2650265
Fresh011
Picked011
Done011
Total2653268

Merged error: 0b

Counts
268 → 3

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample567.0ms

Algorithm
intervals
Results
344.0ms10069×body80valid

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