Details

Time bar (total: 16.9s)

sample117.0ms

Algorithm
intervals
Results
97.0ms480×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done2002
72002
61970
5833
4340
3156
258
121
011

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.0b

localize27.0ms

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)
6.0b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite121.0ms

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))
28.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
31.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
54.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series266.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (* x.re x.im) (* x.im x.re))
93.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
57.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
76.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify1.5s

Counts
84 → 84
Iterations
IterNodes
done2000
32000
21654
1405
0140

prune802.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

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

rewrite190.0ms

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))
60.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
40.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
81.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series210.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* x.re x.im) (* x.im x.re))
63.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
31.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
80.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.2s

Counts
102 → 102
Iterations
IterNodes
done2000
22000
1725
0202

prune1.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
13.3b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
13.3b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
13.3b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
46.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
9.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series601.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
141.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
133.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
132.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify991.0ms

Counts
103 → 103
Iterations
IterNodes
done2001
32001
2802
1300
0121

prune1.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
0.5b
(cbrt (+ x.re x.im))
0.5b
(cbrt (+ x.re x.im))
0.5b
(cbrt (+ x.re x.im))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
27.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
3.0ms
(cbrt (+ x.re x.im))
3.0ms
(cbrt (+ x.re x.im))
3.0ms
(cbrt (+ x.re x.im))

series836.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
187.0ms
(cbrt (+ x.re x.im))
192.0ms
(cbrt (+ x.re x.im))
206.0ms
(cbrt (+ x.re x.im))

simplify1.3s

Counts
111 → 111
Iterations
IterNodes
done2000
42000
31705
2650
1277
0118

prune1.2s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes178.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done16
116
011

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.6s14400×body80valid