Details

Time bar (total: 3.0s)

sample19.0ms

Algorithm
intervals
Results
10.0ms353×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1655
21755
34755
411835
550015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.5b

Counts
2 → 1

localize6.0ms

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))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
12×flip3-- flip--
10×add-sqr-sqrt
frac-times *-un-lft-identity associate-/l/
associate-*r* associate-*l* prod-exp cbrt-unprod
pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*l/
distribute-rgt-in sub-neg distribute-lft-in distribute-lft-out-- add-log-exp difference-of-squares
frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 63
Calls
2 calls:
12.0ms
(* (- 1.0 x) (- 3.0 x))
11.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series65.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (- 1.0 x) (- 3.0 x))
43.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0413460
12310393
25001393

prune131.0ms

Filtered
69 candidates to 47 candidates (68.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New63669
Fresh000
Picked101
Done000
Total64670

Merged error: 0.0b

Counts
70 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.0b
(/ (- 3.0 x) 3.0)
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*
cbrt-undiv div-exp associate-/r*
pow1
prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
add-log-exp
flip3-- frac-2neg div-sub clear-num flip--
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 138
Calls
3 calls:
6.0ms
(/ (- 1.0 x) y)
6.0ms
(/ (- 3.0 x) 3.0)
17.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series115.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (- 1.0 x) y)
40.0ms
(/ (- 3.0 x) 3.0)
43.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0559898
12363816
25002815

prune220.0ms

Filtered
147 candidates to 104 candidates (70.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1452147
Fresh325
Picked011
Done000
Total1485153

Merged error: 0b

Counts
153 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.2b
(/ (- 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)))

rewrite73.0ms

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*
unswap-sqr
div-inv
pow1
associate-/l/
div-sub add-log-exp
frac-2neg clear-num
flip3-- flip--
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 251
Calls
4 calls:
6.0ms
(/ (- 1.0 x) y)
7.0ms
(/ (- 3.0 x) (cbrt 3.0))
12.0ms
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
37.0ms
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (- 1.0 x) y)
77.0ms
(/ (- 3.0 x) (cbrt 3.0))
173.0ms
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
100.0ms
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

simplify183.0ms

Algorithm
egg-herbie
Counts
263 → 263
Iterations

Useful iterations: 2 (147.0ms)

IterNodesCost
09952480
148442204
250022182

prune516.0ms

Filtered
263 candidates to 189 candidates (71.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2630263
Fresh033
Picked011
Done011
Total2635268

Merged error: 0b

Counts
268 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.3b
(* (/ (- 1.0 x) y) (- 3.0 x))
0.4b
(* (* (/ (- 1.0 x) y) (- 3.0 x)) (/ 1 3.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
49×add-exp-log
46×*-un-lft-identity
40×times-frac
31×add-cbrt-cube
30×add-cube-cbrt
22×prod-exp
20×associate-*l*
18×associate-*r*
12×div-exp cbrt-unprod
11×frac-times
10×pow1
associate-*l/ distribute-lft-out-- difference-of-squares
cbrt-undiv flip3-- associate-*r/ flip--
associate-/l*
pow-prod-down
rec-exp 1-exp associate-/r* div-inv add-log-exp
distribute-rgt-in sub-neg distribute-lft-in *-commutative associate-/l/ unswap-sqr
frac-2neg div-sub clear-num un-div-inv
Counts
3 → 140
Calls
3 calls:
6.0ms
(/ (- 1.0 x) y)
12.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))
15.0ms
(* (* (/ (- 1.0 x) y) (- 3.0 x)) (/ 1 3.0))

series130.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (- 1.0 x) y)
42.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))
49.0ms
(* (* (/ (- 1.0 x) y) (- 3.0 x)) (/ 1 3.0))

simplify83.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06731005
13278865
25001852

prune200.0ms

Filtered
149 candidates to 95 candidates (63.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1490149
Fresh022
Picked011
Done022
Total1495154

Merged error: 0b

Counts
154 → 5

regimes83.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample481.0ms

Algorithm
intervals
Results
309.0ms10736×body80valid

Profiling

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