Details

Time bar (total: 17.4s)

sample109.0ms

Algorithm
intervals
Results
90.0ms453×body80valid

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done5000
62016
5868
4359
3156
258
121
011

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.1b
(* -3 (* x.im x.im))
6.0b
(* x.re (+ (* x.re x.re) (* -3 (* x.im x.im))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×associate-*l*
5×*-un-lft-identity add-cube-cbrt
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ *-commutative insert-posit16 add-log-exp unswap-sqr
1×distribute-rgt-in distribute-lft-in flip3-+ flip-+
Counts
2 → 43
Calls
2 calls:
13.0ms
(* -3 (* x.im x.im))
32.0ms
(* x.re (+ (* x.re x.re) (* -3 (* x.im x.im))))

series134.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* -3 (* x.im x.im))
89.0ms
(* x.re (+ (* x.re x.re) (* -3 (* x.im x.im))))

simplify1.4s

Counts
49 → 49
Iterations
IterNodes
done5003
21134
1257
081

prune164.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.1b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
6.1b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*l/
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
7×associate-*l*
6×associate-*r*
4×flip3-+ flip3-- frac-sub flip-+ insert-posit16 flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log sub-neg diff-log difference-of-squares
Counts
4 → 72
Calls
4 calls:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
29.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
29.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
37.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series225.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* x.re x.im) (* x.im x.re))
78.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
39.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
75.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify1.9s

Counts
84 → 84
Iterations
IterNodes
done5002
21715
1405
0140

prune393.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.1b
(- (* (* x.re (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.2b
(* (* x.re (+ x.re x.im)) (- x.re x.im))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*l/ associate-*r/
19×flip3-+ flip-+
16×frac-sub
12×frac-times
11×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
10×flip3-- flip--
9×*-un-lft-identity
8×associate-*r* add-log-exp
7×add-cube-cbrt
5×sub-neg
4×distribute-rgt-in distribute-lft-in associate-*l* pow-prod-down prod-exp associate--l+ cbrt-unprod insert-posit16
2×*-commutative
1×+-commutative sum-log diff-log distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 99
Calls
4 calls:
10.0ms
(+ (* x.re x.im) (* x.im x.re))
71.0ms
(- (* (* x.re (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
48.0ms
(* (* x.re (+ x.re x.im)) (- x.re x.im))

series190.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (* x.re x.im) (* x.im x.re))
67.0ms
(- (* (* x.re (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
29.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
66.0ms
(* (* x.re (+ x.re x.im)) (- x.re x.im))

simplify3.1s

Counts
111 → 111
Iterations
IterNodes
done5001
24475
1774
0214

prune462.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x.re x.im) x.re)
0.2b
(* (* x.re (+ x.re x.im)) x.re)
0.2b
(* (- x.im) (+ (* (+ x.re x.im) x.re) (* x.im (+ x.re x.re))))
0.2b
(+ (* (+ x.re x.im) x.re) (* x.im (+ x.re x.re)))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
16×associate-*r/
15×add-sqr-sqrt associate-*l*
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×flip3-+ associate-*l/ flip-+
11×add-cube-cbrt
9×associate-*r*
8×frac-add
6×add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×insert-posit16
3×distribute-lft-neg-in distribute-rgt-neg-in *-commutative
2×distribute-rgt-in associate-+r+ distribute-lft-in unswap-sqr
1×distribute-lft-neg-out +-commutative neg-mul-1 sum-log distribute-lft-out
Counts
4 → 96
Calls
4 calls:
27.0ms
(* (+ x.re x.im) x.re)
26.0ms
(* (* x.re (+ x.re x.im)) x.re)
57.0ms
(* (- x.im) (+ (* (+ x.re x.im) x.re) (* x.im (+ x.re x.re))))
32.0ms
(+ (* (+ x.re x.im) x.re) (* x.im (+ x.re x.re)))

series242.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (+ x.re x.im) x.re)
64.0ms
(* (* x.re (+ x.re x.im)) x.re)
73.0ms
(* (- x.im) (+ (* (+ x.re x.im) x.re) (* x.im (+ x.re x.re))))
57.0ms
(+ (* (+ x.re x.im) x.re) (* x.im (+ x.re x.re)))

simplify1.8s

Counts
108 → 108
Iterations
IterNodes
done5003
22067
1599
0171

prune470.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done51
551
448
337
226
120
012

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.5s14418×body80valid