Details

sample38.0ms

Algorithm

intervals

Results

25.0ms

269×

body

valid

simplify52.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	80
5	80
4	76
3	56
2	40
1	21
0	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize24.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (* x.im y.re) (* x.re y.im))
27.9b	(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

rewrite34.0ms

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×	`expm1-log1p-u` `pow1` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `div-inv`

Counts

2 → 50

Calls

2 calls:

8.0ms	(- (* x.im y.re) (* x.re y.im))
25.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

series176.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(- (* x.im y.re) (* x.re y.im))
121.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

simplify813.0ms

Counts

56 → 56

Iterations

Iter	Nodes
3	2455
2	716
1	222
0	90

prune675.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 27.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.7b	(- (* x.im y.re) (* x.re y.im))
17.3b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
28.7b	(sqrt (fma y.im y.im (* y.re y.re)))
28.7b	(sqrt (fma y.im y.im (* y.re y.re)))

rewrite34.0ms

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` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `fma-udef` `hypot-def` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `div-inv`

Counts

4 → 96

Calls

4 calls:

8.0ms	(- (* x.im y.re) (* x.re y.im))
20.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
2.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
2.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (* x.im y.re) (* x.re y.im))
171.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
76.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
78.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify680.0ms

Counts

108 → 108

Iterations

Iter	Nodes
3	2058
2	728
1	269
0	117

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.5b

localize47.0ms

Local error

Found 4 expressions with local error:

11.9b	(/ (* x.im y.re) (sqrt (fma y.im y.im (* y.re y.re))))
28.7b	(sqrt (fma y.im y.im (* y.re y.re)))
28.7b	(sqrt (fma y.im y.im (* y.re y.re)))
28.7b	(sqrt (fma y.im y.im (* y.re y.re)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`sqrt-prod`
14×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`associate-/r*` `times-frac`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef` `hypot-def`
2×	`cbrt-undiv` `div-exp`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 81

Calls

4 calls:

10.0ms	(/ (* x.im y.re) (sqrt (fma y.im y.im (* y.re y.re))))
2.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
1.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
1.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (* x.im y.re) (sqrt (fma y.im y.im (* y.re y.re))))
69.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
70.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
87.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify4.0s

Counts

93 → 93

Iterations

Iter	Nodes
4	5223
3	1311
2	405
1	147
0	72

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 23.9b

localize36.0ms

Local error

Found 4 expressions with local error:

10.2b	(/ (* x.re y.im) (sqrt (fma y.im y.im (* y.re y.re))))
28.7b	(sqrt (fma y.im y.im (* y.re y.re)))
28.7b	(sqrt (fma y.im y.im (* y.re y.re)))
28.7b	(sqrt (fma y.im y.im (* y.re y.re)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`sqrt-prod`
14×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`associate-/r*` `times-frac`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef` `hypot-def`
2×	`cbrt-undiv` `div-exp`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 81

Calls

4 calls:

10.0ms	(/ (* x.re y.im) (sqrt (fma y.im y.im (* y.re y.re))))
1.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
1.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
1.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(/ (* x.re y.im) (sqrt (fma y.im y.im (* y.re y.re))))
61.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
61.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
62.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify12.3s

Counts

93 → 93

Iterations

Iter	Nodes
4	10026
3	1962
2	503
1	146
0	73

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 23.0b

regimes250.0ms

Accuracy

0% (0.4b remaining)

Error of 22.1b against oracle of 21.8b and baseline of 22.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	14
1	14
0	13

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.5s

8463×

body

valid