Details

Time bar (total: 12.1s)

sample72.0ms

Algorithm
intervals
Results
55.0ms454×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done2001
61970
5833
4340
3156
258
121
011

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.2b

localize30.0ms

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))
7.2b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite116.0ms

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))
33.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
31.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
45.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series203.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (* x.re x.im) (* x.im x.re))
34.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
72.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
74.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify1.1s

Counts
84 → 84
Iterations
IterNodes
done2000
21650
1404
0140

prune444.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

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.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))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
19×flip3-+ flip-+
16×frac-sub
12×frac-times
11×pow1 add-cbrt-cube add-exp-log
10×flip3-- flip--
9×add-sqr-sqrt *-un-lft-identity
8×add-log-exp
7×associate-*l* add-cube-cbrt
6×associate-*r/
4×associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16
2×*-commutative
1×+-commutative sum-log sub-neg diff-log distribute-lft-out unswap-sqr
Counts
4 → 90
Calls
4 calls:
7.0ms
(+ (* x.re x.im) (* x.im x.re))
20.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
46.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
38.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series210.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (* x.re x.im) (* x.im x.re))
45.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
73.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
68.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify620.0ms

Counts
102 → 102
Iterations
IterNodes
done2003
1725
0202

prune609.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x.im) (cbrt x.im))
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 77
Calls
4 calls:
7.0ms
(* (cbrt x.im) (cbrt x.im))
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series1.1s

Counts
4 → 12
Calls
4 calls:
297.0ms
(* (cbrt x.im) (cbrt x.im))
263.0ms
(cbrt x.im)
291.0ms
(cbrt x.im)
259.0ms
(cbrt x.im)

simplify685.0ms

Counts
89 → 89
Iterations
IterNodes
done2000
31045
2380
1138
063

prune396.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
26.5b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
26.5b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
26.5b
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 76
Calls
4 calls:
34.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
12.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
11.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
12.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

series644.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
137.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
124.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
167.0ms
(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify696.0ms

Counts
88 → 88
Iterations
IterNodes
done2000
2833
1313
0126

prune499.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes174.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
011

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.5s14288×body80valid