Details

sample53.0ms

Algorithm

intervals

Results

41.0ms

450×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1970
5	833
4	340
3	156
2	58
1	21
0	11

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.5b

localize49.0ms

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.im)
0.2b	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
7.6b	(* (- (* x.re x.re) (* x.im x.im)) x.re)

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`
4×	`flip3-+` `flip3--` `frac-sub` `flip-+` `insert-posit16` `flip--`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `difference-of-squares`

Counts

4 → 72

Calls

4 calls:

15.0ms	(+ (* x.re x.im) (* x.im x.re))
34.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
32.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
32.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

series213.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* x.re x.im) (* x.im x.re))
41.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
80.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
62.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify1.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5006
2	1650
1	404
0	140

prune330.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

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

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-*l/`
19×	`flip3-+` `flip-+`
16×	`frac-sub`
12×	`frac-times`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`flip3--` `flip--`
9×	`add-sqr-sqrt` `*-un-lft-identity`
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`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `distribute-lft-out` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

8.0ms	(+ (* x.re x.im) (* x.im x.re))
26.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
69.0ms	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
60.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.re))

series180.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (* x.re x.im) (* x.im x.re))
34.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
59.0ms	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
65.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify4.2s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	4256
1	725
0	202

prune503.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
22.6b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
22.6b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
22.6b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite121.0ms

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:

72.0ms	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
16.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
16.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
16.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

series588.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
131.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
138.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
148.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify1.8s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	2066
2	833
1	313
0	126

prune607.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
15.1b	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
15.1b	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
15.1b	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 166

Calls

4 calls:

101.0ms	(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
32.0ms	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
46.0ms	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
33.0ms	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

series725.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))) (cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re))))
152.0ms	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
188.0ms	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))
198.0ms	(cbrt (* (+ x.re x.im) (* (- x.re x.im) x.re)))

simplify3.3s

Counts

178 → 178

Iterations

Iter	Nodes
done	5001
3	4949
2	1215
1	436
0	253

prune1.3s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes204.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.2s

14171×

body

valid