Details

sample83.0ms

Algorithm

intervals

Results

66.0ms

454×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2003
5	1086
4	382
3	146
2	55
1	24
0	11

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.2b

localize27.0ms

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.im)
0.1b	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
7.2b	(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite109.0ms

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:

15.0ms	(+ (* x.re x.im) (* x.im x.re))
22.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
38.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
32.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

series209.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* x.re x.im) (* x.im x.re))
42.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
67.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
74.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify958.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	2000
2	1939
1	435
0	153

prune530.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

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.im)
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.re x.im) x.re))

rewrite166.0ms

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×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
2×	`*-commutative`
1×	`+-commutative` `sum-log` `sub-neg` `fma-def` `fma-neg` `diff-log` `prod-diff` `distribute-lft-out` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

8.0ms	(+ (* x.re x.im) (* x.im x.re))
34.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
63.0ms	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
60.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.re))

series240.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* x.re x.im) (* x.im x.re))
42.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
97.0ms	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
67.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify592.0ms

Counts

113 → 113

Iterations

Iter	Nodes
done	2001
1	775
0	215

prune561.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x.im (+ (* x.re x.im) (* x.im x.re)))
0.1b	(* x.im (+ (* x.re x.im) (* x.im x.re)))
0.2b	(fma (+ x.re x.im) (* (- x.re x.im) x.re) (- (* x.im (+ (* x.re x.im) (* x.im x.re)))))
34.2b	(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

36.0ms	(* x.im (+ (* x.re x.im) (* x.im x.re)))
22.0ms	(* x.im (+ (* x.re x.im) (* x.im x.re)))
0.0ms	(fma (+ x.re x.im) (* (- x.re x.im) x.re) (- (* x.im (+ (* x.re x.im) (* x.im x.re)))))
0.0ms	(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

series257.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* x.im (+ (* x.re x.im) (* x.im x.re)))
31.0ms	(* x.im (+ (* x.re x.im) (* x.im x.re)))
131.0ms	(fma (+ x.re x.im) (* (- x.re x.im) x.re) (- (* x.im (+ (* x.re x.im) (* x.im x.re)))))
53.0ms	(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

simplify610.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	2000
2	943
1	241
0	86

prune547.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

26.5b	(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
26.5b	(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
26.5b	(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
34.2b	(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-div` `associate-*r/`
4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3-+` `pow1/3` `flip-+`
1×	`fma-udef`

Counts

4 → 53

Calls

4 calls:

7.0ms	(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
7.0ms	(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
7.0ms	(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
0.0ms	(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

series532.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
146.0ms	(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
160.0ms	(cbrt (* x.im (+ (* x.re x.im) (* x.im x.re))))
65.0ms	(fma (- x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.im (+ (* x.re x.im) (* x.im x.re))))

simplify1.0s

Counts

65 → 65

Iterations

Iter	Nodes
done	2000
3	1453
2	539
1	200
0	83

prune548.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes152.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	33
3	33
2	28
1	22
0	14

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.3s

14288×

body

valid