Details

Time bar (total: 18.0s)

sample76.0ms

Algorithm
intervals
Results
60.0ms475×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done2012
62012
51086
4382
3146
255
124
011

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize37.0ms

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)

rewrite107.0ms

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×expm1-log1p-u flip3-+ flip3-- frac-sub flip-+ insert-posit16 log1p-expm1-u flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log sub-neg fma-def fma-neg diff-log prod-diff difference-of-squares
Counts
4 → 83
Calls
4 calls:
14.0ms
(+ (* x.re x.im) (* x.im x.re))
40.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
30.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

series216.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (* x.re x.im) (* x.im x.re))
76.0ms
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
54.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
61.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify1.4s

Counts
95 → 95
Iterations
IterNodes
done2006
32006
21872
1436
0153

prune896.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

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.re x.im))) (* (+ (* 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.re x.im)))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
88×distribute-rgt-in distribute-lft-in
73×prod-diff
57×add-sqr-sqrt *-un-lft-identity
55×add-cube-cbrt
44×associate--l+
24×associate-*l/ associate-*r/
19×flip3-+ flip-+
16×frac-sub
12×frac-times
11×pow1 add-cbrt-cube add-exp-log
10×flip3-- flip--
9×sub-neg
8×add-log-exp
7×associate-*l*
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
2×*-commutative
1×+-commutative sum-log fma-def fma-neg diff-log distribute-lft-out unswap-sqr
Counts
4 → 189
Calls
4 calls:
14.0ms
(+ (* x.re x.im) (* x.im x.re))
53.0ms
(- (* (+ x.re x.im) (* x.re (- x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
19.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
70.0ms
(* (+ x.re x.im) (* x.re (- x.re x.im)))

series234.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* x.re x.im) (* x.im x.re))
83.0ms
(- (* (+ x.re x.im) (* x.re (- x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
40.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
84.0ms
(* (+ x.re x.im) (* x.re (- x.re x.im)))

simplify1.4s

Counts
201 → 201
Iterations
IterNodes
done2000
22000
11209
0334

prune2.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 71
Calls
4 calls:
118.0ms
(* (* (* (+ (* x.im x.re) (* x.im x.re)) (cbrt x.im)) (cbrt x.im)) (cbrt x.im))
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)
1.0ms
(cbrt x.im)

series955.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (* (* (+ (* x.im x.re) (* x.im x.re)) (cbrt x.im)) (cbrt x.im)) (cbrt x.im))
296.0ms
(cbrt x.im)
305.0ms
(cbrt x.im)
301.0ms
(cbrt x.im)

simplify1.2s

Counts
83 → 83
Iterations
IterNodes
done2003
32003
2996
1243
085

prune927.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

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)))

rewrite68.0ms

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×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u 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:
55.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (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)))
4.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series537.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
139.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
117.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
115.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify1.0s

Counts
111 → 111
Iterations
IterNodes
done2003
32003
2767
1313
0125

prune1.3s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes229.0ms

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
2.5s14444×body80valid