Details

Time bar (total: 17.3s)

sample352.0ms

Algorithm
intervals
Results
339.0ms464×body80valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5001
51689
4447
3160
258
121
011

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.1b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
3.9b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite114.0ms

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-+ 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 → 68
Calls
4 calls:
12.0ms
(+ (* x.re x.im) (* x.im x.re))
29.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
23.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
46.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series200.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* x.re x.im) (* x.im x.re))
36.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
60.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
76.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify2.3s

Counts
80 → 80
Iterations
IterNodes
done5000
22831
1412
0136

prune457.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite121.0ms

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
2×*-commutative
1×+-commutative sum-log diff-log distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 95
Calls
4 calls:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
18.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
39.0ms
(- (* (* x.re (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
52.0ms
(* (* x.re (+ x.re x.im)) (- x.re x.im))

series257.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* x.re x.im) (* x.im x.re))
34.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
99.0ms
(- (* (* x.re (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
93.0ms
(* (* x.re (+ x.re x.im)) (- x.re x.im))

simplify1.2s

Counts
107 → 107
Iterations
IterNodes
done5000
1771
0210

prune609.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
28×associate-*r/
16×associate-*l*
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×flip3-+ flip-+
11×add-cube-cbrt
8×distribute-rgt-in distribute-lft-in associate-*r* frac-add
6×add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-neg-in distribute-rgt-neg-in *-commutative
2×associate-+l+ associate-+r+ unswap-sqr
1×distribute-lft-neg-out +-commutative neg-mul-1 sum-log distribute-lft-out
Counts
4 → 100
Calls
4 calls:
20.0ms
(* x.re (+ x.re x.im))
20.0ms
(+ (* x.re (+ x.re x.im)) (* x.im (+ x.re x.re)))
22.0ms
(* x.re (* x.re (+ x.re x.im)))
43.0ms
(* (- x.im) (+ (* x.re (+ x.re x.im)) (* x.im (+ x.re x.re))))

series258.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* x.re (+ x.re x.im))
52.0ms
(+ (* x.re (+ x.re x.im)) (* x.im (+ x.re x.re)))
62.0ms
(* x.re (* x.re (+ x.re x.im)))
103.0ms
(* (- x.im) (+ (* x.re (+ x.re x.im)) (* x.im (+ x.re x.re))))

simplify2.6s

Counts
112 → 112
Iterations
IterNodes
done5000
24975
1636
0165

prune795.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 3 x.im) x.re)
0.1b
(* x.re (* x.re (+ x.re x.im)))
0.1b
(* x.re (+ (* 3 x.im) x.re))
0.2b
(* (- x.im) (* x.re (+ (* 3 x.im) x.re)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube associate-*l* add-exp-log
12×add-sqr-sqrt
10×*-un-lft-identity associate-*r/ add-cube-cbrt
9×distribute-rgt-in distribute-lft-in
7×pow-prod-down prod-exp cbrt-unprod
6×add-log-exp
5×associate-*r*
4×flip3-+ flip-+
3×distribute-lft-neg-in distribute-rgt-neg-in *-commutative
1×distribute-lft-neg-out +-commutative neg-mul-1 sum-log unswap-sqr
Counts
4 → 89
Calls
4 calls:
9.0ms
(+ (* 3 x.im) x.re)
34.0ms
(* x.re (* x.re (+ x.re x.im)))
20.0ms
(* x.re (+ (* 3 x.im) x.re))
48.0ms
(* (- x.im) (* x.re (+ (* 3 x.im) x.re)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (* 3 x.im) x.re)
61.0ms
(* x.re (* x.re (+ x.re x.im)))
54.0ms
(* x.re (+ (* 3 x.im) x.re))
65.0ms
(* (- x.im) (* x.re (+ (* 3 x.im) x.re)))

simplify2.6s

Counts
101 → 101
Iterations
IterNodes
done5000
23403
1476
0137

prune458.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes186.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify18.0ms

Iterations
IterNodes
done44
644
542
436
333
226
122
012

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.7s14370×body80valid