Details

sample60.0ms

Algorithm

intervals

Results

40.0ms

481×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1519
4	433
3	149
2	61
1	23
0	11

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize26.0ms

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.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.1b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
6.5b	(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite99.0ms

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` `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 → 77

Calls

4 calls:

6.0ms	(+ (* x.re x.im) (* x.im x.re))
30.0ms	(+ (* (- (* x.re x.re) (* x.im 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)
28.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

series226.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* x.re x.im) (* x.im x.re))
93.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
29.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
69.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify2.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	2664
1	439
0	143

prune562.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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

rewrite129.0ms

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` `log1p-expm1-u`
2×	`+-commutative` `sum-log` `fma-def` `*-commutative`
1×	`distribute-lft-out` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

11.0ms	(+ (* x.re x.im) (* x.im x.re))
40.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
23.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
48.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

series259.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (* x.re x.im) (* x.im x.re))
102.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
26.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
108.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
1	753
0	205

prune564.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x.re x.im) x.im)
0.0b	(+ (* x.re x.im) (* x.im x.re))
0.1b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.2b	(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
2×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`+-commutative` `sum-log` `fma-def` `flip3--` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 70

Calls

4 calls:

20.0ms	(* (- x.re x.im) x.im)
13.0ms	(+ (* x.re x.im) (* x.im x.re))
43.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
1.0ms	(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series240.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (- x.re x.im) x.im)
25.0ms	(+ (* x.re x.im) (* x.im x.re))
35.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
142.0ms	(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify1.7s

Counts

82 → 82

Iterations

Iter	Nodes
done	5002
2	1707
1	283
0	114

prune516.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x.re) (cbrt x.re))
0.5b	(cbrt x.re)
0.5b	(cbrt x.re)
0.5b	(cbrt x.re)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

9.0ms	(* (cbrt x.re) (cbrt x.re))
1.0ms	(cbrt x.re)
1.0ms	(cbrt x.re)
1.0ms	(cbrt x.re)

series1.4s

Counts

4 → 12

Calls

4 calls:

295.0ms	(* (cbrt x.re) (cbrt x.re))
272.0ms	(cbrt x.re)
238.0ms	(cbrt x.re)
588.0ms	(cbrt x.re)

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune543.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	18
3	18
2	16
1	14
0	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s

14354×

body

valid