Details

Time bar (total: 3.2s)

sample418.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 10.400391%

Guaranteed chance to sample good point: 91.076294%

Results
6.0ms256×body80valid
1.0ms28×body80invalid

simplify10.0ms

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: 3.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.9b
(* x (- 1.0 (* y z)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
5.0ms
(* x (- 1.0 (* y z)))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* x (- 1.0 (* y z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0122127
1493111
21989111
35001111

prune53.0ms

Filtered
17 candidates to 27 candidates (-58.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New20727
Fresh000
Picked011
Done000
Total20828

Merged error: 3.0b

Counts
28 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
1.0b
(* (cbrt x) (- 1.0 (* y z)))
2.1b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite23.0ms

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)
8.0ms
(* (cbrt x) (- 1.0 (* y z)))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series99.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
21.0ms
(cbrt x)
40.0ms
(* (cbrt x) (- 1.0 (* y z)))
13.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0323701
11294536
25001439

prune101.0ms

Filtered
56 candidates to 94 candidates (-67.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New90494
Fresh246
Picked011
Done011
Total9210102

Merged error: 2.9b

Counts
102 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (- 1.0 (* y z))))
2.9b
(* x (- 1.0 (* y z)))
2.9b
(* x (- 1.0 (* y z)))
2.9b
(* x (- 1.0 (* y z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
8×associate-*r/
6×distribute-rgt-in sub-neg distribute-lft-in
4×flip3-- flip-- add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 83
Calls
4 calls:
4.0ms
(cbrt (* x (- 1.0 (* y z))))
5.0ms
(* x (- 1.0 (* y z)))
6.0ms
(* x (- 1.0 (* y z)))
5.0ms
(* x (- 1.0 (* y z)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(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)))

simplify80.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0221491
1777434
22985430
35002427

prune165.0ms

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

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh077
Picked011
Done022
Total9510105

Merged error: 2.9b

Counts
105 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))) (cbrt (- 1.0 (* y z)))))
3.0b
(cbrt (- 1.0 (* y z)))
3.0b
(cbrt (- 1.0 (* y z)))
3.0b
(cbrt (- 1.0 (* y z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
58×associate-*r/
36×pow1 add-exp-log
30×flip3-- flip--
29×pow-prod-down
28×frac-times
24×prod-exp cbrt-unprod
14×associate-*l/ add-cbrt-cube
9×cbrt-prod pow1/3
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
1×associate-*r* associate-*l* *-commutative
Counts
4 → 100
Calls
4 calls:
23.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) (* (cbrt (- 1.0 (* y z))) (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)))

series126.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))) (cbrt (- 1.0 (* y z)))))
38.0ms
(cbrt (- 1.0 (* y z)))
37.0ms
(cbrt (- 1.0 (* y z)))
39.0ms
(cbrt (- 1.0 (* y z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06911872
123801534
250021333

prune392.0ms

Filtered
72 candidates to 112 candidates (-55.6%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1102112
Fresh066
Picked011
Done123
Total11111122

Merged error: 2.9b

Counts
122 → 11

regimes479.0ms

Accuracy

0% (0.1b remaining)

Error of 2.6b against oracle of 2.4b and baseline of 2.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample878.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 10.400391%

Guaranteed chance to sample good point: 91.076294%

Results
201.0ms8000×body80valid
24.0ms1002×body80invalid

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