Details

Time bar (total: 2.8s)

sample40.0ms

Algorithm
intervals
Results
22.0ms451×body80valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (17.0ms)

IterNodesCost
0219
1559
21509
34016
410885
527045
650015

prune13.0ms

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

localize14.0ms

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)))

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-*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))
7.0ms
(* 3 (* x.im (* x.re x.im)))

series18.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(- (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)))

simplify37.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0209290
1846250
25002250

prune139.0ms

Filtered
60 candidates to 32 candidates (46.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New54660
Fresh011
Picked011
Done000
Total54862

Merged error: 0.0b

Counts
62 → 8

localize8.0ms

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))

series14.0ms

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 (7.0ms)

IterNodesCost
0193231
1907198
25001198

prune73.0ms

Filtered
40 candidates to 19 candidates (52.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New40040
Fresh066
Picked011
Done011
Total40848

Merged error: 0.0b

Counts
48 → 8

localize12.0ms

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

rewrite46.0ms

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:
14.0ms
(- (pow x.re 3) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im)))))
5.0ms
(* x.im (* x.re x.im))
14.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im (* x.re x.im))))
10.0ms
(* (cbrt 3) (* x.im (* x.re x.im)))

series32.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(- (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

prune235.0ms

Filtered
100 candidates to 45 candidates (55.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New991100
Fresh235
Picked011
Done022
Total1017108

Merged error: 0.0b

Counts
108 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
77×pow1 add-exp-log
54×pow-prod-down prod-exp cbrt-unprod
43×add-cbrt-cube
22×associate-*l*
12×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
4×associate-*r* *-commutative add-log-exp
Counts
4 → 115
Calls
4 calls:
5.0ms
(* x.im (* x.re x.im))
18.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* x.im (* x.re x.im)))))
12.0ms
(* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* x.im (* x.re x.im))))
9.0ms
(* (cbrt (sqrt 3)) (* x.im (* x.re x.im)))

series77.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* x.im (* x.re x.im))
30.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* x.im (* x.re x.im)))))
23.0ms
(* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* x.im (* x.re x.im))))
20.0ms
(* (cbrt (sqrt 3)) (* x.im (* x.re x.im)))

simplify63.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
03841188
11818872
25002783

prune427.0ms

Filtered
127 candidates to 61 candidates (52.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1252127
Fresh123
Picked011
Done123
Total1277134

Merged error: 0b

Counts
134 → 7

regimes210.0ms

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

sample1.1s

Algorithm
intervals
Results
721.0ms14317×body80valid

Profiling

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