Details

sample50.0ms

Algorithm

intervals

Results

34.0ms

272×

body

valid

simplify74.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize35.0ms

Local error

Found 2 expressions with local error:

1.1b	(- (* x.im y.re) (* x.re y.im))
23.7b	(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

rewrite54.0ms

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:

17.0ms	(- (* x.im y.re) (* x.re y.im))
37.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

series205.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(- (* x.im y.re) (* x.re y.im))
144.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

simplify890.0ms

Counts

56 → 56

Iterations

Iter	Nodes
3	2455
2	716
1	222
0	90

prune387.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 23.3b

localize38.0ms

Local error

Found 4 expressions with local error:

1.1b	(- (* x.im y.re) (* x.re y.im))
13.7b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
28.2b	(sqrt (fma y.im y.im (* y.re y.re)))
28.2b	(sqrt (fma y.im y.im (* y.re y.re)))

rewrite55.0ms

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:

13.0ms	(- (* x.im y.re) (* x.re y.im))
37.0ms	(/ (- (* 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)))
3.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* x.im y.re) (* x.re y.im))
192.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
55.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
71.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify865.0ms

Counts

108 → 108

Iterations

Iter	Nodes
3	2058
2	728
1	269
0	117

prune665.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 21.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma x.im y.re (- (* x.re y.im)))
13.7b	(/ (fma x.im y.re (- (* x.re y.im))) (sqrt (fma y.im y.im (* y.re y.re))))
28.2b	(sqrt (fma y.im y.im (* y.re y.re)))
28.2b	(sqrt (fma y.im y.im (* y.re y.re)))

rewrite9.0ms

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

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma x.im y.re (- (* x.re y.im)))
5.0ms	(/ (fma x.im y.re (- (* 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)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(fma x.im y.re (- (* x.re y.im)))
133.0ms	(/ (fma x.im y.re (- (* x.re y.im))) (sqrt (fma y.im y.im (* y.re y.re))))
47.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
64.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify4.7s

Counts

99 → 99

Iterations

Iter	Nodes
4	3822
3	867
2	280
1	147
0	95

prune734.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 21.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma x.im y.re (- (* x.re y.im)))
13.8b	(* (fma x.im y.re (- (* x.re y.im))) (/ 1 (sqrt (fma y.im y.im (* y.re y.re)))))
28.2b	(sqrt (fma y.im y.im (* y.re y.re)))
28.2b	(sqrt (fma y.im y.im (* y.re y.re)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
22×	`-un-lft-identity` `times-frac` `associate-r*`
20×	`add-cube-cbrt`
17×	`sqrt-prod`
13×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `fma-udef`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `cbrt-unprod` `hypot-def`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 95

Calls

4 calls:

0.0ms	(fma x.im y.re (- (* x.re y.im)))
33.0ms	(* (fma x.im y.re (- (* x.re y.im))) (/ 1 (sqrt (fma y.im y.im (* y.re y.re)))))
1.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
2.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(fma x.im y.re (- (* x.re y.im)))
171.0ms	(* (fma x.im y.re (- (* x.re y.im))) (/ 1 (sqrt (fma y.im y.im (* y.re y.re)))))
69.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
78.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify8.7s

Counts

107 → 107

Iterations

Iter	Nodes
4	7069
3	1959
2	577
1	249
0	118

prune634.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 21.5b

regimes350.0ms

Accuracy

0% (2.6b remaining)

Error of 25.4b against oracle of 22.8b and baseline of 25.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
3	22
2	22
1	20
0	14

end0.0ms

sample1.3s

Algorithm

intervals

Results

993.0ms

8454×

body

valid