Details

sample97.0ms

Algorithm

intervals

Results

72.0ms

491×

body

valid

simplify6.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2990
6	1200
5	596
4	245
3	121
2	51
1	20
0	11

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x.re x.re) (* x.im x.im))
0.2b	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
6.7b	(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-*l/`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
7×	`associate-l`
6×	`associate-r`
4×	`flip3--` `flip3-+` `frac-add` `flip--` `flip-+`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 69

Calls

4 calls:

20.0ms	(- (* x.re x.re) (* x.im x.im))
45.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
47.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
65.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

series347.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (* x.re x.re) (* x.im x.im))
129.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
46.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
110.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify3.1s

Counts

81 → 81

Iterations

Iter	Nodes
done	5004
2	1826
1	416
0	138

prune716.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-*l/`
19×	`flip3-+` `flip-+`
16×	`frac-add`
15×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
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`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`+-commutative` `sum-log` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

49.0ms	(* (- x.re x.im) x.im)
86.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
44.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
82.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

series408.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (- x.re x.im) x.im)
156.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
42.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
129.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify7.3s

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
2	4045
1	743
0	210

prune887.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize117.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
0.6b	(cbrt (+ x.re x.im))
0.6b	(cbrt (+ x.re x.im))
0.6b	(cbrt (+ x.re x.im))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

80.0ms	(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
8.0ms	(cbrt (+ x.re x.im))
8.0ms	(cbrt (+ x.re x.im))
8.0ms	(cbrt (+ x.re x.im))

series1.1s

Counts

4 → 12

Calls

4 calls:

324.0ms	(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
267.0ms	(cbrt (+ x.re x.im))
267.0ms	(cbrt (+ x.re x.im))
257.0ms	(cbrt (+ x.re x.im))

simplify3.7s

Counts

107 → 107

Iterations

Iter	Nodes
done	5002
3	1781
2	681
1	277
0	116

prune998.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt x.im) (cbrt x.im))
0.6b	(cbrt x.im)
0.6b	(cbrt x.im)
0.6b	(cbrt x.im)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

22.0ms	(* (cbrt x.im) (cbrt x.im))
2.0ms	(cbrt x.im)
2.0ms	(cbrt x.im)
2.0ms	(cbrt x.im)

series1.5s

Counts

4 → 12

Calls

4 calls:

374.0ms	(* (cbrt x.im) (cbrt x.im))
359.0ms	(cbrt x.im)
385.0ms	(cbrt x.im)
370.0ms	(cbrt x.im)

simplify5.7s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
4	3625
3	1001
2	372
1	137
0	61

prune668.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes384.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	21
1	21
0	14

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.9s

14460×

body

valid