Details

Time bar (total: 14.4s)

sample71.0ms

Algorithm
intervals
Results
57.0ms475×body80valid

simplify1.8s

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

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.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)
6.5b
(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite155.0ms

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:
13.0ms
(+ (* x.re x.im) (* x.im x.re))
51.0ms
(- (* (- (* 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.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:
26.0ms
(+ (* x.re x.im) (* x.im x.re))
73.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
48.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
86.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify1.4s

Counts
84 → 84
Iterations
IterNodes
done2000
32000
21654
1405
0140

prune401.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

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

rewrite197.0ms

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:
16.0ms
(+ (* x.re x.im) (* x.im x.re))
73.0ms
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
28.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
76.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

series250.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* x.re x.im) (* x.im x.re))
69.0ms
(- (* (+ x.re x.im) (* (- x.re 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)
98.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.1s

Counts
102 → 102
Iterations
IterNodes
done2000
22000
1725
0202

prune469.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (* (+ (* x.re x.im) (* x.re x.im)) (cbrt x.im)) (cbrt x.im)) (cbrt x.im))
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)
0.6b
(cbrt x.im)

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×add-cbrt-cube
6×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
4×insert-posit16 add-log-exp
3×pow1/3
1×flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 63
Calls
4 calls:
171.0ms
(* (* (* (+ (* x.re x.im) (* x.re x.im)) (cbrt x.im)) (cbrt x.im)) (cbrt x.im))
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series923.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (* (* (+ (* x.re x.im) (* x.re x.im)) (cbrt x.im)) (cbrt x.im)) (cbrt x.im))
267.0ms
(cbrt x.im)
317.0ms
(cbrt x.im)
259.0ms
(cbrt x.im)

simplify1.5s

Counts
75 → 75
Iterations
IterNodes
done2011
32011
2959
1238
081

prune411.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize72.0ms

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)))

rewrite79.0ms

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:
55.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
7.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series606.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
129.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
120.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
142.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify931.0ms

Counts
103 → 103
Iterations
IterNodes
done2001
32001
2802
1300
0121

prune658.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes141.0ms

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

sample2.6s

Algorithm
intervals
Results
2.3s14444×body80valid