Details

sample38.0ms

Algorithm

intervals

Results

25.0ms

277×

body

valid

simplify117.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	128
5	128
4	116
3	90
2	64
1	41
0	11

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize38.0ms

Local error

Found 2 expressions with local error:

0.3b	(- (* x.im y.re) (* x.re y.im))
24.7b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `flip-+` `div-inv`

Counts

2 → 46

Calls

2 calls:

14.0ms	(- (* x.im y.re) (* x.re y.im))
57.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series182.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(- (* x.im y.re) (* x.re y.im))
116.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify1.1s

Counts

52 → 52

Iterations

Iter	Nodes
3	3539
2	1217
1	424
0	91

prune599.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* x.im y.re) (* x.re y.im))
14.2b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
27.2b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
27.2b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `associate-/r*` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
4×	`insert-posit16`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 90

Calls

4 calls:

14.0ms	(- (* x.im y.re) (* x.re y.im))
37.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
11.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series370.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* x.im y.re) (* x.re y.im))
187.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
39.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
72.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify1.2s

Counts

102 → 102

Iterations

Iter	Nodes
3	3542
2	1321
1	540
0	124

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 22.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* x.im y.re) (* x.re y.im))
14.3b	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.im y.re) (* x.re y.im)))
27.2b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
27.2b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-cbrt-cube` `sqrt-div` `add-exp-log` `associate-/l*` `add-log-exp`
4×	`insert-posit16`
3×	`associate-/r*` `flip3-+` `flip-+`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

4 → 89

Calls

4 calls:

7.0ms	(- (* x.im y.re) (* x.re y.im))
22.0ms	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.im y.re) (* x.re y.im)))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* x.im y.re) (* x.re y.im))
138.0ms	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.im y.re) (* x.re y.im)))
50.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
41.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify862.0ms

Counts

101 → 101

Iterations

Iter	Nodes
3	2439
2	1071
1	486
0	119

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 22.5b

localize29.0ms

Local error

Found 3 expressions with local error:

0.3b	(- (* x.im y.re) (* x.re y.im))
0.7b	(/ 1 (+ (* y.re y.re) (* y.im y.im)))
24.0b	(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `times-frac`
19×	`add-cube-cbrt`
16×	`add-exp-log`
15×	`associate-r`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-/r` `flip3--` `associate-l` `insert-posit16` `flip--` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `div-inv`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 90

Calls

3 calls:

10.0ms	(- (* x.im y.re) (* x.re y.im))
11.0ms	(/ 1 (+ (* y.re y.re) (* y.im y.im)))
60.0ms	(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))

series230.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* x.im y.re) (* x.re y.im))
52.0ms	(/ 1 (+ (* y.re y.re) (* y.im y.im)))
125.0ms	(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))

simplify1.7s

Counts

99 → 99

Iterations

Iter	Nodes
3	4611
2	1502
1	579
0	131

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 22.5b

regimes412.0ms

Accuracy

0% (2.7b remaining)

Error of 25.8b against oracle of 23.1b and baseline of 25.8b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	20
1	20
0	15

end1.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

8473×

body

valid