Details

Time bar (total: 7.4s)

sample66.0ms

Algorithm
intervals
Results
52.0ms455×body80valid

simplify977.0ms

Counts
1 → 1
Iterations
IterNodes
done2001
61214
5597
4245
3121
251
120
011

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* 3 x.re) x.re) (* x.im x.im))
0.1b
(* (* 3 x.re) x.re)
5.3b
(* x.im (- (* (* 3 x.re) x.re) (* x.im x.im)))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×*-un-lft-identity associate-*r* add-cube-cbrt
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg insert-posit16
2×distribute-rgt-in distribute-lft-in flip3-- associate-*r/ *-commutative flip--
1×diff-log unswap-sqr
Counts
3 → 57
Calls
3 calls:
25.0ms
(- (* (* 3 x.re) x.re) (* x.im x.im))
13.0ms
(* (* 3 x.re) x.re)
60.0ms
(* x.im (- (* (* 3 x.re) x.re) (* x.im x.im)))

series517.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- (* (* 3 x.re) x.re) (* x.im x.im))
37.0ms
(* (* 3 x.re) x.re)
424.0ms
(* x.im (- (* (* 3 x.re) x.re) (* x.im x.im)))

simplify635.0ms

Counts
66 → 66
Iterations
IterNodes
done2004
2902
1270
093

prune270.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
33×pow1
19×add-cbrt-cube add-exp-log
11×pow-prod-down prod-exp cbrt-unprod
6×pow-plus pow-prod-up
4×add-sqr-sqrt associate-*r*
3×*-un-lft-identity add-cube-cbrt
2×pow2 associate-*l* pow-sqr *-commutative insert-posit16 add-log-exp
1×pow3 unswap-sqr
Counts
2 → 52
Calls
2 calls:
30.0ms
(* (* x.im x.im) x.im)
22.0ms
(* (* 3 x.re) (* x.im x.re))

series103.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(* (* x.im x.im) x.im)
38.0ms
(* (* 3 x.re) (* x.im x.re))

simplify535.0ms

Counts
58 → 58
Iterations
IterNodes
done2002
2931
1213
076

prune154.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-cbrt-cube add-exp-log
8×pow-prod-down prod-exp cbrt-unprod
1×add-sqr-sqrt *-un-lft-identity associate-*r* associate-*l* *-commutative add-cube-cbrt insert-posit16 add-log-exp
Counts
1 → 23
Calls
1 calls:
21.0ms
(* (* 3 x.re) (* x.im x.re))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(* (* 3 x.re) (* x.im x.re))

simplify524.0ms

Counts
26 → 26
Iterations
IterNodes
done2001
2540
1132
047

prune90.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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×associate-*l* *-commutative insert-posit16 add-log-exp
Counts
2 → 41
Calls
2 calls:
47.0ms
(* (* (* 3 x.re) x.im) x.re)
13.0ms
(* (* 3 x.re) x.im)

series63.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (* (* 3 x.re) x.im) x.re)
28.0ms
(* (* 3 x.re) x.im)

simplify514.0ms

Counts
47 → 47
Iterations
IterNodes
done2000
2668
1182
066

prune146.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample2.3s

Algorithm
intervals
Results
2.0s14345×body80valid