Details

Time bar (total: 14.9s)

sample85.0ms

Algorithm
intervals
Results
67.0ms459×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done2060
72060
61214
5597
4245
3121
251
120
011

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.5b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 3 (* x.re x.re)) (* x.im x.im))
0.1b
(* 3 (* x.re x.re))
8.5b
(* x.im (- (* 3 (* x.re x.re)) (* x.im x.im)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt
6×*-un-lft-identity associate-*l* add-cube-cbrt
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×sub-neg insert-posit16
2×distribute-rgt-in distribute-lft-in flip3-- associate-*r/ *-commutative flip-- unswap-sqr
1×diff-log
Counts
3 → 58
Calls
3 calls:
16.0ms
(- (* 3 (* x.re x.re)) (* x.im x.im))
17.0ms
(* 3 (* x.re x.re))
71.0ms
(* x.im (- (* 3 (* x.re x.re)) (* x.im x.im)))

series144.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- (* 3 (* x.re x.re)) (* x.im x.im))
34.0ms
(* 3 (* x.re x.re))
70.0ms
(* x.im (- (* 3 (* x.re x.re)) (* x.im x.im)))

simplify1.1s

Counts
67 → 67
Iterations
IterNodes
done2004
32004
2886
1273
092

prune628.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 8.3b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.2b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
8.5b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite78.0ms

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-add insert-posit16
3×flip3-- flip--
2×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 71
Calls
4 calls:
10.0ms
(+ (* x.re x.im) (* x.im x.re))
21.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
25.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
21.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series222.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (* x.re x.im) (* x.im x.re))
88.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
31.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
77.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.5s

Counts
83 → 83
Iterations
IterNodes
done2001
32001
21701
1410
0139

prune818.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
19×flip3-+ flip-+
16×frac-add
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times associate-*l*
10×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×+-commutative sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 100
Calls
4 calls:
18.0ms
(* (- x.re x.im) x.im)
44.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
39.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
40.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series299.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (- x.re x.im) x.im)
125.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
33.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
80.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.2s

Counts
112 → 112
Iterations
IterNodes
done2004
22004
1746
0214

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

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))))
12.9b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.9b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.9b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite64.0ms

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:
35.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
15.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
5.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series578.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
134.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
117.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
143.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify943.0ms

Counts
103 → 103
Iterations
IterNodes
done2001
32001
2802
1300
0121

prune1.4s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes166.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done21
121
014

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.4s14317×body80valid