Details

sample83.0ms

Algorithm

intervals

Results

68.0ms

483×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5023
7	3464
6	1291
5	619
4	259
3	122
2	51
1	20
0	11

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.8b

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.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))
5.8b	(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite114.0ms

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))
24.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
25.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
49.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

series230.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* x.re x.im) (* x.im x.re))
26.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
88.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
80.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.7s

Counts

83 → 83

Iterations

Iter	Nodes
done	5002
2	1753
1	409
0	139

prune473.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

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.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))

rewrite185.0ms

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×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
2×	`+-commutative` `sum-log` `*-commutative`
1×	`distribute-lft-out` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

15.0ms	(+ (* x.re x.im) (* x.im x.re))
40.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
72.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
55.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

series223.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x.re x.im) (* x.im x.re))
25.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
91.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
77.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify3.3s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	4274
1	717
0	201

prune458.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* x.re (+ x.im x.im)) (cbrt x.re)) (cbrt x.re))
0.6b	(cbrt x.re)
0.6b	(cbrt x.re)
0.6b	(cbrt x.re)

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-*l/` `insert-posit16` `add-log-exp`
3×	`pow1/3`
2×	`associate-*r/`
1×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 63

Calls

4 calls:

162.0ms	(* (* (* x.re (+ x.im x.im)) (cbrt x.re)) (cbrt x.re))
1.0ms	(cbrt x.re)
1.0ms	(cbrt x.re)
1.0ms	(cbrt x.re)

series942.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (* (* x.re (+ x.im x.im)) (cbrt x.re)) (cbrt x.re))
263.0ms	(cbrt x.re)
268.0ms	(cbrt x.re)
261.0ms	(cbrt x.re)

simplify1.9s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	1075
1	263
0	92

prune549.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
27.6b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
27.6b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
27.6b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `associate-*r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

46.0ms	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
12.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
12.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
9.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series675.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
138.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
148.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
184.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify2.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
3	2312
2	861
1	313
0	126

prune478.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes183.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	13

end0.0ms

sample2.3s

Algorithm

intervals

Results

2.0s

14528×

body

valid