Details

Time bar (total: 2.3s)

sample33.0ms

Algorithm
intervals
Results
22.0ms486×body80valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (16.0ms)

IterNodesCost
0219
1559
21509
34016
410885
527045
650015

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
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))))
0.2b
(* x.im (* x.re x.im))
0.2b
(* 3 (* x.im (* x.re x.im)))

rewrite24.0ms

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:
11.0ms
(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
5.0ms
(* x.im (* x.re x.im))
7.0ms
(* 3 (* x.im (* x.re x.im)))

series94.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
18.0ms
(* x.im (* x.re x.im))
22.0ms
(* 3 (* x.im (* x.re x.im)))

simplify35.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0209290
1846250
25002250

prune99.0ms

Filtered
60 candidates to 32 candidates (53.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New54660
Fresh011
Picked011
Done000
Total54862

Merged error: 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)))
0.2b
(* (* 3 x.im) (* x.re x.im))

rewrite16.0ms

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))

series76.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
24.0ms
(* (* 3 x.im) (* x.re x.im))

simplify37.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0193231
1907198
25001198

prune58.0ms

Filtered
40 candidates to 19 candidates (47.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New39140
Fresh246
Picked011
Done011
Total41748

Merged error: 0b

Counts
48 → 7

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)

series97.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
21.0ms
(* (* (* 3 x.im) x.re) x.im)
22.0ms
(* (* 3 x.im) x.re)

simplify48.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0230290
11308253
25001253

prune89.0ms

Filtered
60 candidates to 33 candidates (55.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New60060
Fresh044
Picked011
Done022
Total60767

Merged error: 0b

Counts
67 → 7

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)))))
0.2b
(* 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)))

rewrite38.0ms

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:
11.0ms
(- (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)))

series261.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(- (pow x.re 3) (* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im)))))
18.0ms
(* x.im (* x.re x.im))
86.0ms
(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))
54.0ms
(* (sqrt 3) (* x.im (* x.re x.im)))

simplify46.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0288589
11250465
25001451

prune137.0ms

Filtered
93 candidates to 48 candidates (51.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New92193
Fresh213
Picked101
Done033
Total955100

Merged error: 0b

Counts
100 → 5

regimes63.0ms

Accuracy

0% (0.1b 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

sample881.0ms

Algorithm
intervals
Results
648.0ms14419×body80valid

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