Details

Time bar (total: 7.4s)

sample23.0ms

Algorithm
intervals
Results
9.0ms327×body80valid

simplify34.0ms

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: 6.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
6.1b
(/ (* (- 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))
10.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series87.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- 1.0 x) (- 3.0 x))
58.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0413460
12310393
25001393

prune191.0ms

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

localize9.0ms

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))

rewrite31.0ms

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))

series147.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- 3.0 x) 3.0)
41.0ms
(/ (- 1.0 x) y)
58.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0559898
12363816
25002815

prune797.0ms

Filtered
147 candidates to 104 candidates (29.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1452147
Fresh224
Picked011
Done000
Total1475152

Merged error: 0b

Counts
152 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.1b
(/ (- 3.0 x) (cbrt 3.0))
0.3b
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
0.3b
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
173×times-frac
157×add-sqr-sqrt
130×*-un-lft-identity
78×add-cube-cbrt
61×add-exp-log
43×add-cbrt-cube
36×cbrt-prod
34×associate-*r*
29×associate-/l*
26×distribute-lft-out-- difference-of-squares
25×cbrt-undiv div-exp
23×associate-*l*
16×prod-exp cbrt-unprod
10×associate-/r*
9×unswap-sqr
8×div-inv
6×pow1
5×associate-/l/
4×div-sub add-log-exp
3×frac-2neg clear-num
2×flip3-- flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 251
Calls
4 calls:
5.0ms
(/ (- 1.0 x) y)
6.0ms
(/ (- 3.0 x) (cbrt 3.0))
10.0ms
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
30.0ms
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

series473.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ (- 1.0 x) y)
96.0ms
(/ (- 3.0 x) (cbrt 3.0))
212.0ms
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
124.0ms
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

simplify125.0ms

Algorithm
egg-herbie
Counts
263 → 263
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
09952480
148442204
250022182

prune2.0s

Filtered
263 candidates to 189 candidates (28.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2630263
Fresh033
Picked011
Done011
Total2635268

Merged error: 0b

Counts
268 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ (- 3.0 x) 3.0)) (cbrt (/ (- 3.0 x) 3.0)))
0.2b
(cbrt (/ (- 3.0 x) 3.0))
0.2b
(cbrt (/ (- 3.0 x) 3.0))
0.2b
(cbrt (/ (- 3.0 x) 3.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
157×cbrt-prod
141×add-sqr-sqrt
135×*-un-lft-identity
123×times-frac
75×add-cube-cbrt
28×swap-sqr
27×distribute-lft-out--
22×associate-*r* associate-*l*
21×difference-of-squares
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 186
Calls
4 calls:
20.0ms
(* (cbrt (/ (- 3.0 x) 3.0)) (cbrt (/ (- 3.0 x) 3.0)))
6.0ms
(cbrt (/ (- 3.0 x) 3.0))
4.0ms
(cbrt (/ (- 3.0 x) 3.0))
4.0ms
(cbrt (/ (- 3.0 x) 3.0))

series689.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (cbrt (/ (- 3.0 x) 3.0)) (cbrt (/ (- 3.0 x) 3.0)))
159.0ms
(cbrt (/ (- 3.0 x) 3.0))
160.0ms
(cbrt (/ (- 3.0 x) 3.0))
164.0ms
(cbrt (/ (- 3.0 x) 3.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04892101
117852033
250011926

prune1.6s

Filtered
198 candidates to 143 candidates (27.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1980198
Fresh022
Picked011
Done022
Total1985203

Merged error: 0b

Counts
203 → 5

regimes220.0ms

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

sample591.0ms

Algorithm
intervals
Results
306.0ms10586×body80valid

Profiling

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