Details

Time bar (total: 2.1s)

sample116.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 10.510254%

Guaranteed chance to sample good point: 99.062202%

Results
12.0ms256×body80valid
7.0ms138×body80invalid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (16.0ms)

IterNodesCost
0219
1559
21509
34016
410885
527045
650015

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
0.1b
(* x.im (* x.re x.im))
0.2b
(* 3 (* x.im (* x.re x.im)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*l*
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*r* *-commutative
1×sub-neg flip3-- diff-log flip--
Counts
3 → 51
Calls
3 calls:
8.0ms
(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
5.0ms
(* x.im (* x.re x.im))
10.0ms
(* 3 (* x.im (* x.re x.im)))

series17.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
4.0ms
(* x.im (* x.re x.im))
4.0ms
(* 3 (* x.im (* x.re x.im)))

simplify39.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0209290
1846250
25002250

prune87.0ms

Filtered
32 candidates to 60 candidates (-87.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New53760
Fresh101
Picked011
Done000
Total54862

Merged error: 0.0b

Counts
62 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
0.2b
(* (* 3 x.im) (* x.re x.im))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×sub-neg flip3-- diff-log associate-*r* associate-*l* *-commutative flip--
Counts
2 → 34
Calls
2 calls:
8.0ms
(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
6.0ms
(* (* 3 x.im) (* x.re x.im))

series13.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
4.0ms
(* (* 3 x.im) (* x.re x.im))

simplify40.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0193231
1907198
25001198

prune52.0ms

Filtered
19 candidates to 40 candidates (-110.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New39140
Fresh336
Picked011
Done011
Total42648

Merged error: 0b

Counts
48 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (pow x.re 3) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im)))))
0.1b
(* x.im (* x.re x.im))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
0.2b
(* (cbrt 3) (* x.im (* x.re x.im)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1 add-exp-log
33×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
10×associate-*l*
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
3×cbrt-prod associate-*r* *-commutative
1×sub-neg flip3-- diff-log flip--
Counts
4 → 88
Calls
4 calls:
13.0ms
(- (pow x.re 3) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im)))))
7.0ms
(* x.im (* x.re x.im))
24.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
13.0ms
(* (cbrt 3) (* x.im (* x.re x.im)))

series33.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (pow x.re 3) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im)))))
4.0ms
(* x.im (* x.re x.im))
8.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
7.0ms
(* (cbrt 3) (* x.im (* x.re x.im)))

simplify54.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0325790
11393603
25001544

prune128.0ms

Filtered
45 candidates to 100 candidates (-122.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1000100
Fresh033
Picked011
Done022
Total1006106

Merged error: 0b

Counts
106 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
0.2b
(* (* (* 3 x.im) x.re) x.im)
0.2b
(* (* 3 x.im) x.re)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*r*
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*l* *-commutative
1×sub-neg flip3-- diff-log flip--
Counts
3 → 51
Calls
3 calls:
8.0ms
(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
7.0ms
(* (* (* 3 x.im) x.re) x.im)
5.0ms
(* (* 3 x.im) x.re)

series17.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
4.0ms
(* (* (* 3 x.im) x.re) x.im)
3.0ms
(* (* 3 x.im) x.re)

simplify51.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0230290
11308253
25001253

prune55.0ms

Filtered
32 candidates to 60 candidates (-87.5%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New60060
Fresh022
Picked011
Done033
Total60666

Merged error: 0b

Counts
66 → 6

regimes100.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample1.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 10.510254%

Guaranteed chance to sample good point: 99.062202%

Results
399.0ms8000×body80valid
240.0ms4947×body80invalid

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