Details

Time bar (total: 19.8s)

sample58.0ms

Algorithm
intervals
Results
41.0ms458×body80valid

simplify3.4s

Counts
1 → 1
Iterations
IterNodes
done5000
61970
5833
4340
3156
258
121
011

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re x.re) (* x.im x.im))
0.2b
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
6.3b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite122.0ms

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*
5×flip3-- flip--
4×frac-sub insert-posit16
3×flip3-+ flip-+
2×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 74
Calls
4 calls:
14.0ms
(- (* x.re x.re) (* x.im x.im))
38.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
24.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
45.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series233.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (* x.re x.re) (* x.im x.im))
81.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
32.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
63.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify1.5s

Counts
86 → 86
Iterations
IterNodes
done5002
21613
1412
0143

prune411.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
18×flip3-+ flip-+
16×frac-sub
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*l*
11×flip3-- flip--
9×add-cube-cbrt
7×associate-*r*
6×associate-*r/ add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×insert-posit16
3×*-commutative
2×unswap-sqr
1×sub-neg diff-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 101
Calls
4 calls:
31.0ms
(* (- x.re x.im) x.re)
71.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
59.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)

series273.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (- x.re x.im) x.re)
94.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
76.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))
44.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)

simplify2.9s

Counts
113 → 113
Iterations
IterNodes
done5002
23825
1753
0215

prune515.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*r/
24×associate-*l/
18×distribute-rgt-in distribute-lft-in flip3-+ flip-+
16×frac-sub
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times
11×sub-neg flip3-- flip--
10×associate-*l*
9×associate-*r* add-cube-cbrt
8×associate--l+
6×add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×insert-posit16
3×*-commutative
2×unswap-sqr
1×diff-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 121
Calls
4 calls:
27.0ms
(* x.re (- x.re x.im))
69.0ms
(- (* (+ x.re x.im) (* x.re (- x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
60.0ms
(* (+ x.re x.im) (* x.re (- x.re x.im)))
20.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)

series285.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* x.re (- x.re x.im))
87.0ms
(- (* (+ x.re x.im) (* x.re (- x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
91.0ms
(* (+ x.re x.im) (* x.re (- x.re x.im)))
46.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)

simplify3.2s

Counts
133 → 133
Iterations
IterNodes
done5000
24386
1823
0228

prune586.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* x.re x.re) (+ x.re x.im)) (* (- x.im) (+ (* x.re (+ x.im x.re)) (* x.im (+ x.re x.re)))))
0.1b
(+ (* x.re (+ x.im x.re)) (* x.im (+ x.re x.re)))
0.2b
(* (- x.im) (+ (* x.re (+ x.im x.re)) (* x.im (+ x.re x.re))))
4.8b
(* (* x.re x.re) (+ x.re x.im))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
64×associate-*r/
28×flip3-+ frac-add flip-+
12×add-sqr-sqrt
11×pow1 *-un-lft-identity add-cbrt-cube associate-*l* add-exp-log
9×add-cube-cbrt
8×add-log-exp
7×associate-*r*
6×distribute-rgt-in distribute-lft-in
4×associate-+l+ associate-+r+ pow-prod-down prod-exp cbrt-unprod insert-posit16
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in
2×+-commutative sum-log *-commutative unswap-sqr
1×neg-mul-1 unsub-neg distribute-lft-out
Counts
4 → 110
Calls
4 calls:
32.0ms
(+ (* (* x.re x.re) (+ x.re x.im)) (* (- x.im) (+ (* x.re (+ x.im x.re)) (* x.im (+ x.re x.re)))))
12.0ms
(+ (* x.re (+ x.im x.re)) (* x.im (+ x.re x.re)))
57.0ms
(* (- x.im) (+ (* x.re (+ x.im x.re)) (* x.im (+ x.re x.re))))
43.0ms
(* (* x.re x.re) (+ x.re x.im))

series244.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ (* (* x.re x.re) (+ x.re x.im)) (* (- x.im) (+ (* x.re (+ x.im x.re)) (* x.im (+ x.re x.re)))))
52.0ms
(+ (* x.re (+ x.im x.re)) (* x.im (+ x.re x.re)))
75.0ms
(* (- x.im) (+ (* x.re (+ x.im x.re)) (* x.im (+ x.re x.re))))
50.0ms
(* (* x.re x.re) (+ x.re x.im))

simplify2.9s

Counts
122 → 122
Iterations
IterNodes
done5001
24140
1857
0234

prune591.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes191.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done44
544
441
330
225
121
013

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s14424×body80valid