Details

Time bar (total: 3.1s)

sample483.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 6.835938%

Guaranteed chance to sample good point: 90.552935%

Results
6.0ms256×body80valid
1.0ms26×body80invalid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1243
2463
3713
4793
5793

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.6b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
2.4b
(* 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:
2.0ms
(- 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)))

simplify55.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0143187
1560166
22091166
35003166

prune68.0ms

Filtered
28 candidates to 42 candidates (-50.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New35742
Fresh000
Picked011
Done000
Total35843

Merged error: 2.5b

Counts
43 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* x (- 1.0 (* y z))))
2.4b
(* x (- 1.0 (* y z)))
2.4b
(* x (- 1.0 (* y z)))
2.4b
(* x (- 1.0 (* y z)))

rewrite21.0ms

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)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(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)))

simplify73.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0221491
1777434
22985430
35002427

prune175.0ms

Filtered
64 candidates to 95 candidates (-48.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New93295
Fresh066
Picked101
Done011
Total949103

Merged error: 2.5b

Counts
103 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (cbrt x) (- 1.0 (* y z)))
1.7b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
2.4b
(* x (- 1.0 (* y z)))
2.4b
(* 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:
6.0ms
(* (cbrt x) (- 1.0 (* y z)))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
5.0ms
(* x (- 1.0 (* y z)))
5.0ms
(* x (- 1.0 (* y z)))

series73.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (cbrt x) (- 1.0 (* y z)))
14.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
9.0ms
(* x (- 1.0 (* y z)))
11.0ms
(* x (- 1.0 (* y z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0367853
11590657
25001529

prune188.0ms

Filtered
72 candidates to 120 candidates (-66.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1191120
Fresh167
Picked011
Done011
Total1209129

Merged error: 2.5b

Counts
129 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (cbrt x) (- 1.0 (* y z)))
1.7b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
1.7b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
2.4b
(* x (- 1.0 (* y z)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
20×distribute-rgt-in distribute-lft-in
19×add-cbrt-cube
18×pow-prod-down prod-exp cbrt-unprod
15×add-sqr-sqrt
12×sub-neg associate-*r/
11×associate-*l*
add-cube-cbrt *-un-lft-identity
associate-*r*
cbrt-prod flip3-- *-commutative flip-- add-log-exp
unswap-sqr
Counts
4 → 116
Calls
4 calls:
6.0ms
(* (cbrt x) (- 1.0 (* y z)))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
5.0ms
(* x (- 1.0 (* y z)))

series77.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (cbrt x) (- 1.0 (* y z)))
13.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
13.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
12.0ms
(* x (- 1.0 (* y z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03671111
11590788
25001551

prune158.0ms

Filtered
69 candidates to 128 candidates (-85.5%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh066
Picked011
Done022
Total1289137

Merged error: 2.5b

Counts
137 → 9

regimes486.0ms

Accuracy

0% (0.1b remaining)

Error of 3.1b against oracle of 3.0b and baseline of 3.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample970.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 6.835938%

Guaranteed chance to sample good point: 90.552935%

Results
204.0ms8000×body80valid
24.0ms992×body80invalid

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