Details

sample74.0ms

Algorithm

intervals

Results

61.0ms

466×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2049
7	2049
6	1781
5	723
4	268
3	110
2	50
1	23
0	11

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x.re (* x.re 3)) (* x.im x.im))
0.1b	(* x.re (* x.re 3))
8.4b	(* (- (* x.re (* x.re 3)) (* x.im x.im)) x.im)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-l/` `-commutative` `flip--`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

16.0ms	(- (* x.re (* x.re 3)) (* x.im x.im))
15.0ms	(* x.re (* x.re 3))
77.0ms	(* (- (* x.re (* x.re 3)) (* x.im x.im)) x.im)

series226.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- (* x.re (* x.re 3)) (* x.im x.im))
52.0ms	(* x.re (* x.re 3))
126.0ms	(* (- (* x.re (* x.re 3)) (* x.im x.im)) x.im)

simplify1.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	2002
3	2002
2	797
1	239
0	97

prune592.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 8.3b

localize51.0ms

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

rewrite108.0ms

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×	`expm1-log1p-u` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`+-commutative` `sum-log` `fma-def` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`difference-of-squares`

Counts

4 → 81

Calls

4 calls:

18.0ms	(+ (* x.re x.im) (* x.im x.re))
38.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
20.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
30.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

series250.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* x.re x.im) (* x.im x.re))
35.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
92.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
84.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	2031
3	2031
2	1810
1	430
0	147

prune897.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize45.0ms

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

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-*l/`
20×	`flip3-+` `flip-+`
16×	`frac-add`
12×	`frac-times`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt` `*-un-lft-identity` `flip3--` `flip--`
8×	`add-log-exp`
7×	`associate-l` `add-cube-cbrt`
6×	`associate-*r/`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `sum-log` `fma-def` `*-commutative`
1×	`distribute-lft-out` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

7.0ms	(+ (* x.re x.im) (* x.im x.re))
31.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
71.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))
71.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series298.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (* x.re x.im) (* x.im x.re))
31.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
120.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))
122.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify1.1s

Counts

111 → 111

Iterations

Iter	Nodes
done	2001
2	2001
1	755
0	209

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.1b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.1b	(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `sum-log` `fma-def` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

8.0ms	(+ (* x.re x.im) (* x.im x.re))
21.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.0ms	(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series240.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* x.re x.im) (* x.im x.re))
32.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
174.0ms	(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify1.2s

Counts

58 → 58

Iterations

Iter	Nodes
done	2020
3	2020
2	658
1	203
0	80

prune969.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes205.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.2s

14409×

body

valid