Details

sample59.0ms

Algorithm

intervals

Results

34.0ms

463×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1689
4	447
3	160
2	58
1	21
0	11

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x.re x.re) (* x.im x.im))
0.1b	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
5.6b	(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite95.0ms

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-sub`
3×	`flip3-+` `flip-+`
2×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

14.0ms	(- (* x.re x.re) (* x.im x.im))
24.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
24.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
29.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

series235.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* x.re x.re) (* x.im x.im))
95.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
36.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
68.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify2.4s

Counts

82 → 82

Iterations

Iter	Nodes
done	5002
2	3204
1	430
0	139

prune438.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-*l/`
18×	`flip3-+` `flip-+`
16×	`frac-sub`
15×	`add-sqr-sqrt`
13×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
12×	`frac-times` `associate-l`
11×	`flip3--` `flip--`
9×	`add-cube-cbrt`
7×	`associate-r`
6×	`associate-*r/` `add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`sub-neg` `diff-log` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 97

Calls

4 calls:

34.0ms	(* (- x.re x.im) x.re)
76.0ms	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
18.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
52.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.re))

series287.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (- x.re x.im) x.re)
79.0ms	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
56.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
84.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify457.0ms

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
1	752
0	211

prune580.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

29.0ms	(* (* x.im (+ x.re x.re)) (cbrt x.im))
1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)

series1.1s

Counts

4 → 12

Calls

4 calls:

214.0ms	(* (* x.im (+ x.re x.re)) (cbrt x.im))
286.0ms	(cbrt x.im)
266.0ms	(cbrt x.im)
289.0ms	(cbrt x.im)

simplify699.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	1148
1	214
0	76

prune455.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (cbrt x.im) 2) x.re)
0.6b	(cbrt x.im)
0.6b	(cbrt x.im)
0.6b	(cbrt x.im)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `pow1` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
4×	`add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 51

Calls

4 calls:

26.0ms	(* (* (cbrt x.im) 2) x.re)
1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)

series990.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (* (cbrt x.im) 2) x.re)
267.0ms	(cbrt x.im)
291.0ms	(cbrt x.im)
299.0ms	(cbrt x.im)

simplify1.0s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	656
1	149
0	62

prune317.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes188.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	20
3	20
2	18
1	16
0	11

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.8s

14433×

body

valid