Details

sample113.0ms

Algorithm

intervals

Results

92.0ms

459×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
7	2992
6	1223
5	597
4	245
3	121
2	51
1	20
0	11

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* x.re x.re) 3)
7.1b	(* x.im (- (* (* x.re x.re) 3) (* x.im x.im)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

2 → 45

Calls

2 calls:

24.0ms	(* (* x.re x.re) 3)
90.0ms	(* x.im (- (* (* x.re x.re) 3) (* x.im x.im)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* (* x.re x.re) 3)
79.0ms	(* x.im (- (* (* x.re x.re) 3) (* x.im x.im)))

simplify4.8s

Counts

51 → 51

Iterations

Iter	Nodes
4	7217
3	1891
2	601
1	213
0	84

prune142.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.0b

localize38.0ms

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))
7.1b	(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite121.0ms

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:

14.0ms	(+ (* x.re x.im) (* x.im x.re))
37.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
36.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
32.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

series247.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* x.re x.im) (* x.im x.re))
22.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
97.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
91.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify6.7s

Counts

83 → 83

Iterations

Iter	Nodes
3	8079
2	1789
1	407
0	139

prune403.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite182.0ms

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:

25.0ms	(* (- x.re x.im) x.im)
18.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
63.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
73.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

series323.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (- x.re x.im) x.im)
39.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
110.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
116.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.5s

Counts

112 → 112

Iterations

Iter	Nodes
2	4323
1	744
0	214

prune525.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x.re) (cbrt x.re))
0.6b	(cbrt x.re)
0.6b	(cbrt x.re)
0.6b	(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×	`add-cbrt-cube` `insert-posit16` `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 → 77

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)

series1.2s

Counts

4 → 12

Calls

4 calls:

331.0ms	(* (cbrt x.re) (cbrt x.re))
289.0ms	(cbrt x.re)
316.0ms	(cbrt x.re)
265.0ms	(cbrt x.re)

simplify1.1s

Counts

89 → 89

Iterations

Iter	Nodes
4	2788
3	812
2	309
1	132
0	63

prune458.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	20
1	20
0	13

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.5s

14238×

body

valid