Details

Time bar (total: 2.9s)

sample511.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 13.671875%

Guaranteed chance to sample good point: 87.033371%

Results
9.0ms256×body80valid
0.0ms8×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: 3.6b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
3.4b
(* x (- 1.0 (* y z)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×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)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- 1.0 (* y z))
10.0ms
(* x (- 1.0 (* y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0143187
1560166
22091166
35003166

prune69.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New34842
Fresh000
Picked101
Done000
Total35843

Merged error: 3.5b

Counts
43 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (neg (* y z))))
6.2b
(* x (neg (* y z)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l* distribute-rgt-neg-out
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* x (neg (* y z))))
6.0ms
(* x (neg (* y z)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* x 1.0) (* x (neg (* y z))))
6.0ms
(* x (neg (* y z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0181204
11018178
25001174

prune59.0ms

Filtered
33 candidates to 42 candidates (-27.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh347
Picked011
Done000
Total44650

Merged error: 0.0b

Counts
50 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.9b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.5b
(cbrt (- 1.0 (* y z)))
3.5b
(cbrt (- 1.0 (* y z)))
3.5b
(cbrt (- 1.0 (* y z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-- flip--
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
10.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series146.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
38.0ms
(cbrt (- 1.0 (* y z)))
38.0ms
(cbrt (- 1.0 (* y z)))
40.0ms
(cbrt (- 1.0 (* y z)))

simplify106.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0338834
11057778
24483762
35003759

prune176.0ms

Filtered
63 candidates to 78 candidates (-23.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh134
Picked011
Done011
Total78684

Merged error: 0.0b

Counts
84 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
1.3b
(* (cbrt x) (- 1.0 (* y z)))
2.4b
(* (* (cbrt x) (cbrt x)) (* (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
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×sub-neg associate-*r/
4×associate-*r* add-log-exp
2×flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(* (cbrt x) (- 1.0 (* y z)))
10.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series100.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
22.0ms
(cbrt x)
39.0ms
(* (cbrt x) (- 1.0 (* y z)))
16.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify41.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0323701
11294536
25001439

prune75.0ms

Filtered
59 candidates to 94 candidates (-59.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New93194
Fresh033
Picked011
Done022
Total937100

Merged error: 0.0b

Counts
100 → 7

regimes446.0ms

Accuracy

93.6% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03612
14912
25312
35312

end0.0ms

sample925.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 13.671875%

Guaranteed chance to sample good point: 87.033371%

Results
199.0ms8000×body80valid
7.0ms294×body80invalid

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