Details

Time bar (total: 2.0s)

sample28.0ms

Algorithm
intervals
Results
18.0ms459×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (19.0ms)

IterNodesCost
0249
1619
21688
34836
414185
538575
650015

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
8.1b
(* x.re (- (* x.im x.im)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt associate-*r*
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*l*
expm1-log1p-u log1p-expm1-u add-log-exp
distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod fma-udef unswap-sqr
Counts
2 → 34
Calls
2 calls:
0.0ms
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
5.0ms
(* x.re (- (* x.im x.im)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
29.0ms
(* x.re (- (* x.im x.im)))

simplify134.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0129200
1707179
24464174
35001173

prune113.0ms

Filtered
40 candidates to 33 candidates (82.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u add-log-exp
distribute-lft-neg-out associate-*l* *-commutative distribute-rgt-neg-out fma-udef
Counts
2 → 31
Calls
2 calls:
9.0ms
(* (* x.re (- x.im)) x.im)
0.0ms
(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))

series83.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (* x.re (- x.im)) x.im)
55.0ms
(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))

simplify32.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0151193
1780168
25001167

prune100.0ms

Filtered
37 candidates to 27 candidates (73.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
7.0ms
(* (* x.re x.im) x.im)
20.0ms
(* -3 (* (* x.re x.im) x.im))

series56.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (* x.re x.im) x.im)
30.0ms
(* -3 (* (* x.re x.im) x.im))

simplify32.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0170195
1863159
25002159

prune97.0ms

Filtered
49 candidates to 29 candidates (59.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* -3 (* x.re x.im)) x.im)
0.3b
(* -3 (* x.re x.im))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
20.0ms
(* (* -3 (* x.re x.im)) x.im)
6.0ms
(* -3 (* x.re x.im))

series48.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (* -3 (* x.re x.im)) x.im)
17.0ms
(* -3 (* x.re x.im))

simplify35.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0174191
1898159
25001159

prune78.0ms

Filtered
49 candidates to 27 candidates (55.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes50.0ms

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
0135
1135

end0.0ms

sample783.0ms

Algorithm
intervals
Results
557.0ms14416×body80valid