Details

Time bar (total: 5.2s)

sample22.0ms

Algorithm
intervals
Results
9.0ms333×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1655
21755
34755
411835
550015

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: 3.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
3.5b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
12×flip3-- flip--
10×add-sqr-sqrt
8×frac-times *-un-lft-identity associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*l/
2×distribute-rgt-in sub-neg distribute-lft-in distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 63
Calls
2 calls:
8.0ms
(* (- 1.0 x) (- 3.0 x))
11.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series87.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- 1.0 x) (- 3.0 x))
57.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0413460
12310393
25001393

prune198.0ms

Filtered
69 candidates to 47 candidates (31.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New64569
Fresh000
Picked101
Done000
Total65570

Merged error: 0.0b

Counts
70 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 3.0 x) 3.0)
0.0b
(/ (- 1.0 x) y)
0.1b
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
69×*-un-lft-identity
64×times-frac
41×add-cube-cbrt
19×add-exp-log associate-*r* associate-*l* add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
10×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
3×add-log-exp
2×flip3-- frac-2neg div-sub clear-num flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 138
Calls
3 calls:
5.0ms
(/ (- 3.0 x) 3.0)
5.0ms
(/ (- 1.0 x) y)
16.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series139.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (- 3.0 x) 3.0)
42.0ms
(/ (- 1.0 x) y)
52.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0559898
12363816
25002815

prune597.0ms

Filtered
147 candidates to 104 candidates (29.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1443147
Fresh224
Picked011
Done000
Total1466152

Merged error: 0b

Counts
152 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 3.0 x) 3.0)
0.0b
(/ y (- 1.0 x))
0.1b
(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))
0.1b
(/ 1 (/ y (- 1.0 x)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
293×times-frac
237×add-sqr-sqrt
208×*-un-lft-identity
140×add-cube-cbrt
68×associate-*l*
64×add-exp-log
34×add-cbrt-cube
32×distribute-lft-out-- difference-of-squares
30×div-exp
29×associate-/r*
19×associate-*r*
18×associate-/r/
14×cbrt-undiv prod-exp
12×div-inv
11×associate-/l*
10×unswap-sqr
9×flip3-- flip--
7×pow1
6×rec-exp 1-exp cbrt-unprod
4×add-log-exp
3×frac-2neg clear-num
2×associate-/l/
1×frac-times pow-flip div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 312
Calls
4 calls:
5.0ms
(/ (- 3.0 x) 3.0)
5.0ms
(/ y (- 1.0 x))
31.0ms
(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))
8.0ms
(/ 1 (/ y (- 1.0 x)))

series182.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ (- 3.0 x) 3.0)
41.0ms
(/ y (- 1.0 x))
66.0ms
(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))
30.0ms
(/ 1 (/ y (- 1.0 x)))

simplify57.0ms

Algorithm
egg-herbie
Counts
324 → 324
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011402423
150012134

prune2.2s

Filtered
324 candidates to 211 candidates (34.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3240324
Fresh044
Picked011
Done011
Total3246330

Merged error: 0b

Counts
330 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.2b
(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
0.3b
(* (/ (- 1.0 x) y) (- 3.0 x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
41×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
19×add-exp-log associate-*l* add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
7×associate-/l/
6×cbrt-undiv div-exp associate-/r* associate-/l*
5×pow1 flip3-- associate-*r* flip--
4×frac-times associate-*r/ prod-exp cbrt-unprod
3×div-inv add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in associate-*l/ clear-num unswap-sqr
1×div-sub pow-prod-down *-commutative
Counts
3 → 114
Calls
3 calls:
5.0ms
(/ (- 1.0 x) y)
11.0ms
(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
11.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))

series144.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (- 1.0 x) y)
51.0ms
(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
51.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))

simplify59.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0509749
12284664
25001664

prune504.0ms

Filtered
123 candidates to 84 candidates (31.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh033
Picked011
Done022
Total1236129

Merged error: 0b

Counts
129 → 6

regimes181.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample555.0ms

Algorithm
intervals
Results
289.0ms10637×body80valid

Profiling

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