Details

Time bar (total: 46.4s)

sample52.0ms

Algorithm
intervals
Results
32.0ms443×body80valid

simplify6.9s

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

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.9b

localize136.0ms

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))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
8.4b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite288.0ms

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:
26.0ms
(+ (* x.re x.im) (* x.im x.re))
74.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
81.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
99.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series308.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ (* 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))
71.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
95.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify3.8s

Counts
84 → 84
Iterations
IterNodes
done5001
21631
1404
0140

prune918.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize185.0ms

Local error

Found 4 expressions with local error:

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

rewrite515.0ms

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:
66.0ms
(* (- x.re x.im) x.re)
177.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
86.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
166.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series332.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (- x.re x.im) x.re)
108.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
70.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
102.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify8.1s

Counts
113 → 113
Iterations
IterNodes
done5000
24037
1753
0215

prune1.4s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize249.0ms

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))))
12.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.4b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite227.0ms

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:
169.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
18.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
10.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
18.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series1.0s

Counts
4 → 12
Calls
4 calls:
360.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
210.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
218.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
213.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify4.6s

Counts
103 → 103
Iterations
IterNodes
done5000
32059
2802
1300
0121

prune1.3s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize239.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
13.2b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
13.2b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
13.2b
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

rewrite665.0ms

Algorithm
rewrite-expression-head
Rules
176×associate-*l/
168×cbrt-div
148×frac-times
63×flip3-+ flip3-- flip-+ flip--
50×associate-*r/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 166
Calls
4 calls:
280.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
129.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
130.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
76.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series1.1s

Counts
4 → 12
Calls
4 calls:
239.0ms
(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
261.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
281.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
269.0ms
(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify8.5s

Counts
178 → 178
Iterations
IterNodes
done5000
34846
21203
1436
0253

prune2.5s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes531.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify13.0ms

Iterations
IterNodes
done20
120
014

end0.0ms

sample2.5s

Algorithm
intervals
Results
2.1s14408×body80valid