Details

Time bar (total: 10.3s)

sample33.0ms

Algorithm
intervals
Results
20.0ms453×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5001
51929
4533
3180
266
124
011

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (- (* x.re x.im)) (* 3 x.im) (pow x.re 3))

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(fma (- (* x.re x.im)) (* 3 x.im) (pow x.re 3))

simplify711.0ms

Counts
13 → 13
Iterations
IterNodes
done5000
3939
2174
154
023

prune106.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt *-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
2×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
12.0ms
(* x.im (* x.re x.im))
39.0ms
(* (* x.im (* x.re x.im)) -3)

series78.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x.im (* x.re x.im))
40.0ms
(* (* x.im (* x.re x.im)) -3)

simplify750.0ms

Counts
49 → 49
Iterations
IterNodes
done5001
2977
1169
065

prune262.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*r*
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
2×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
78.0ms
(* (* (* -3 x.re) x.im) x.im)
13.0ms
(* (* -3 x.re) x.im)

series78.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (* (* -3 x.re) x.im) x.im)
35.0ms
(* (* -3 x.re) x.im)

simplify1.5s

Counts
49 → 49
Iterations
IterNodes
done5001
21535
1183
065

prune234.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt *-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
2×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
59.0ms
(* (* x.re (* x.im -3)) x.im)
23.0ms
(* x.re (* x.im -3))

series76.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* (* x.re (* x.im -3)) x.im)
20.0ms
(* x.re (* x.im -3))

simplify751.0ms

Counts
49 → 49
Iterations
IterNodes
done5000
21043
1173
067

prune231.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s14556×body80valid