Details

Time bar (total: 2.9s)

sample25.0ms

Algorithm
intervals
Results
6.0ms300×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1243
2463
3713
4793
5793

prune4.0ms

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: 3.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
3.0b
(* x (- 1.0 (* y z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
sub-neg associate-*r* associate-*l*
distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(- 1.0 (* y z))
5.0ms
(* x (- 1.0 (* y z)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- 1.0 (* y z))
9.0ms
(* x (- 1.0 (* y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0143187
1560166
22091166
35003166

prune100.0ms

Filtered
42 candidates to 28 candidates (33.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New34842
Fresh000
Picked011
Done000
Total34943

Merged error: 3.0b

Counts
43 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* x (- 1.0 (* y z))))
3.0b
(* x (- 1.0 (* y z)))
3.0b
(* x (- 1.0 (* y z)))
3.0b
(* x (- 1.0 (* y z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
associate-*r/
distribute-rgt-in sub-neg distribute-lft-in
flip3-- flip-- add-log-exp
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
cbrt-div
cbrt-prod pow1/3
Counts
4 → 83
Calls
4 calls:
3.0ms
(cbrt (* x (- 1.0 (* y z))))
5.0ms
(* x (- 1.0 (* y z)))
5.0ms
(* x (- 1.0 (* y z)))
5.0ms
(* x (- 1.0 (* y z)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(cbrt (* x (- 1.0 (* y z))))
9.0ms
(* x (- 1.0 (* y z)))
9.0ms
(* x (- 1.0 (* y z)))
9.0ms
(* x (- 1.0 (* y z)))

simplify74.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0221491
1777434
22985430
35002427

prune292.0ms

Filtered
95 candidates to 64 candidates (32.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New94195
Fresh077
Picked011
Done011
Total9410104

Merged error: 3.0b

Counts
104 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
1.8b
(* (cbrt x) (- 1.0 (* y z)))
3.0b
(* x (- 1.0 (* y z)))
3.0b
(* x (- 1.0 (* y z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1 add-exp-log
19×add-sqr-sqrt
15×add-cbrt-cube
14×distribute-rgt-in distribute-lft-in
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
10×sub-neg associate-*r/ associate-*r*
cbrt-prod flip3-- *-commutative flip-- add-log-exp unswap-sqr
Counts
4 → 108
Calls
4 calls:
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
6.0ms
(* (cbrt x) (- 1.0 (* y z)))
5.0ms
(* x (- 1.0 (* y z)))
5.0ms
(* x (- 1.0 (* y z)))

series76.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
43.0ms
(* (cbrt x) (- 1.0 (* y z)))
9.0ms
(* x (- 1.0 (* y z)))
10.0ms
(* x (- 1.0 (* y z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0367853
11590657
25001529

prune638.0ms

Filtered
120 candidates to 71 candidates (40.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1191120
Fresh077
Picked011
Done022
Total11911130

Merged error: 2.9b

Counts
130 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.5b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
1.8b
(* (cbrt x) (- 1.0 (* y z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
associate-*l*
sub-neg associate-*r/
associate-*r* add-log-exp
flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
6.0ms
(* (cbrt x) (- 1.0 (* y z)))

series97.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
16.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
39.0ms
(* (cbrt x) (- 1.0 (* y z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0323701
11294536
25001439

prune205.0ms

Filtered
94 candidates to 57 candidates (39.4%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New91394
Fresh257
Picked011
Done033
Total9312105

Merged error: 2.9b

Counts
105 → 12

regimes516.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.3b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample522.0ms

Algorithm
intervals
Results
211.0ms9703×body80valid

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