Details

Time bar (total: 2.2s)

analyze223.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 42.865895%

Guaranteed chance to sample good point: 95.47492%

sample19.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
0.0msbody80invalid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (15.0ms)

IterNodesCost
0219
1559
21509
34016
410885
527045
650015

prune9.0ms

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

localize10.0ms

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)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
associate-*l*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
associate-*r* *-commutative
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))))
4.0ms
(* x.im (* x.re x.im))
6.0ms
(* 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)))

simplify35.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0209290
1846250
25002250

prune83.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New54660
Fresh011
Picked011
Done000
Total54862

Merged error: 0.0b

Counts
62 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
0.3b
(* (* 3 x.im) (* x.re x.im))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
sub-neg flip3-- diff-log associate-*r* associate-*l* *-commutative flip--
Counts
2 → 34
Calls
2 calls:
7.0ms
(- (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))

simplify38.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0193231
1907198
25001198

prune52.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New40040
Fresh066
Picked011
Done011
Total40848

Merged error: 0.0b

Counts
48 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im)))))
0.1b
(* x.im (* x.re x.im))
0.2b
(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))
0.3b
(* (sqrt 3) (* x.im (* x.re x.im)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
15×associate-*l*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
sqrt-prod add-log-exp
associate-*r* *-commutative
sub-neg flip3-- diff-log flip--
Counts
4 → 81
Calls
4 calls:
10.0ms
(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im)))))
4.0ms
(* x.im (* x.re x.im))
11.0ms
(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))
7.0ms
(* (sqrt 3) (* x.im (* x.re x.im)))

series33.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im)))))
4.0ms
(* x.im (* x.re x.im))
11.0ms
(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))
6.0ms
(* (sqrt 3) (* x.im (* x.re x.im)))

simplify48.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0288589
11250465
25001451

prune120.0ms

Filtered
48 candidates to 93 candidates (-93.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New90393
Fresh235
Picked011
Done112
Total938101

Merged error: 0b

Counts
101 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (sqrt 3)) (* x.im (* x.re x.im)))
0.2b
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* x.im (* x.re x.im))))
0.2b
(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* x.im (* x.re x.im)))))
1.0b
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
94×pow1
89×add-exp-log
65×pow-prod-down
64×prod-exp cbrt-unprod
56×add-cbrt-cube
46×cbrt-prod
43×add-sqr-sqrt
26×sqrt-prod
25×associate-*l*
21×add-cube-cbrt *-un-lft-identity
12×associate-*r*
11×swap-sqr
unswap-sqr
pow1/3
*-commutative add-log-exp
pow-sqr pow-prod-up
pow2 pow-plus
Counts
4 → 159
Calls
4 calls:
8.0ms
(* (cbrt (sqrt 3)) (* x.im (* x.re x.im)))
18.0ms
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* x.im (* x.re x.im))))
21.0ms
(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* x.im (* x.re x.im)))))
7.0ms
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

series32.0ms

Counts
4 → 10
Calls
4 calls:
16.0ms
(* (cbrt (sqrt 3)) (* x.im (* x.re x.im)))
6.0ms
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* x.im (* x.re x.im))))
9.0ms
(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* x.im (* x.re x.im)))))
0.0ms
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

simplify89.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
04441827
122761292
250011051

prune243.0ms

Filtered
74 candidates to 169 candidates (-128.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1690169
Fresh055
Picked011
Done022
Total1698177

Merged error: 0b

Counts
177 → 8

regimes166.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

analyze219.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 42.865895%

Guaranteed chance to sample good point: 95.47492%

sample525.0ms

Algorithm
intervals
Results
388.0ms8000×body80valid
11.0ms244×body80invalid

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