Details

Time bar (total: 1.6s)

analyze121.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
0.0ms11×body80invalid

simplify84.0ms

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

localize7.0ms

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
(* x.im (* x.re x.im))

rewrite20.0ms

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))))
6.0ms
(* 3 (* x.im (* x.re x.im)))
5.0ms
(* 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
(* 3 (* x.im (* x.re x.im)))
4.0ms
(* x.im (* x.re x.im))

simplify34.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0209290
1846250
25001250

prune82.0ms

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

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
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))

simplify36.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0193231
1907198
25001198

prune54.0ms

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

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New39140
Fresh066
Picked011
Done011
Total39948

Merged error: 0b

Counts
48 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
0.1b
(* (* (* 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))
6.0ms
(* (* (* 3 x.im) x.re) x.im)
5.0ms
(* (* 3 x.im) x.re)

series16.0ms

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)

simplify47.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0230290
11308253
25001253

prune72.0ms

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

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New60060
Fresh066
Picked011
Done022
Total60969

Merged error: 0b

Counts
69 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
15×associate-*l*
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod add-log-exp
3×associate-*r* *-commutative
1×sub-neg flip3-- diff-log flip--
Counts
4 → 81
Calls
4 calls:
13.0ms
(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im)))))
5.0ms
(* x.im (* x.re x.im))
11.0ms
(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))
8.0ms
(* (sqrt 3) (* x.im (* x.re x.im)))

series31.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im)))))
4.0ms
(* x.im (* x.re x.im))
9.0ms
(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))
6.0ms
(* (sqrt 3) (* x.im (* x.re x.im)))

simplify45.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0288589
11250465
25001451

prune95.0ms

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

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New92193
Fresh235
Picked011
Done033
Total948102

Merged error: 0b

Counts
102 → 8

regimes101.0ms

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

analyze118.0ms

Algorithm
search

sample503.0ms

Algorithm
intervals
Results
361.0ms8000×body80valid
18.0ms409×body80invalid

Profiling

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