Details

Time bar (total: 2.9s)

sample24.0ms

Algorithm
intervals
Results
10.0ms365×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 (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
5.0b
(/ (* (- 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
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:
8.0ms
(* (- 1.0 x) (- 3.0 x))
11.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series67.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (- 1.0 x) (- 3.0 x))
45.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0413460
12310393
25001393

prune193.0ms

Filtered
69 candidates to 47 candidates (68.1%)
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 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
50×*-un-lft-identity
49×times-frac
30×add-cube-cbrt
19×associate-*r* associate-*l*
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
cbrt-undiv div-exp associate-/l*
pow1 prod-exp cbrt-unprod unswap-sqr
associate-/r* div-inv
associate-/l/ add-log-exp
frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 100
Calls
2 calls:
5.0ms
(/ (- 1.0 x) y)
17.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series79.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (- 1.0 x) y)
47.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0492702
12076630
25003630

prune279.0ms

Filtered
106 candidates to 74 candidates (69.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1033106
Fresh314
Picked011
Done000
Total1065111

Merged error: 0b

Counts
111 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac
159×add-sqr-sqrt
150×*-un-lft-identity
106×add-cube-cbrt
61×associate-*r*
22×distribute-lft-out-- difference-of-squares
19×associate-/l*
16×add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp
associate-*l*
pow1
prod-exp associate-/r* cbrt-unprod unswap-sqr
frac-times flip3-- div-sub associate-*l/ flip-- add-log-exp
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 184
Calls
2 calls:
26.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
8.0ms
(/ (/ (- 3.0 x) 3.0) y)

series82.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
36.0ms
(/ (/ (- 3.0 x) 3.0) y)

simplify100.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07581526
139011442
250011442

prune506.0ms

Filtered
190 candidates to 140 candidates (73.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1900190
Fresh033
Picked011
Done011
Total1905195

Merged error: 0b

Counts
195 → 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))

rewrite36.0ms

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:
5.0ms
(/ (- 1.0 x) y)
11.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))
14.0ms
(* (* (/ (- 1.0 x) y) (- 3.0 x)) (/ 1 3.0))

series116.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ (- 1.0 x) y)
37.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))
45.0ms
(* (* (/ (- 1.0 x) y) (- 3.0 x)) (/ 1 3.0))

simplify75.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06731005
13278865
25001852

prune317.0ms

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

regimes164.0ms

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

sample611.0ms

Algorithm
intervals
Results
323.0ms10697×body80valid

Profiling

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