Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

334×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
2	18
1	11
0	7

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--`

Counts

1 → 12

Calls

1 calls:

13.0ms

(- (* x.re y.re) (* x.im y.im))

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(- (* x.re y.re) (* x.im y.im))

simplify2.3s

Counts

15 → 15

Iterations

Iter	Nodes
done	5003
4	1739
3	724
2	263
1	92
0	33

prune84.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
2.3b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.3b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.3b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

73.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
15.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
9.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
9.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series720.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
168.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
158.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
190.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify1.6s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	2929
2	902
1	329
0	130

prune874.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

2.3b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.3b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.3b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.3b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
4.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
4.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
5.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series639.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
153.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
165.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
157.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify1.9s

Counts

64 → 64

Iterations

Iter	Nodes
done	5006
4	4231
3	1319
2	473
1	182
0	70

prune392.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))
0.2b	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
1.8b	(sqrt (- (* x.re y.re) (* x.im y.im)))
1.8b	(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `sub-neg` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

9.0ms	(- (* x.re y.re) (* x.im y.im))
58.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
9.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
10.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* x.re y.re) (* x.im y.im))
45.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
112.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
107.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify1.6s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
3	2182
2	678
1	270
0	113

prune406.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes499.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample837.0ms

Algorithm

intervals

Results

393.0ms

10527×

body

valid