Details

sample69.0ms

Algorithm

intervals

Results

50.0ms

271×

body

valid

simplify65.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	70
5	70
4	66
3	48
2	36
1	19
0	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize29.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (* x.im y.re) (* x.re y.im))
24.9b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite32.0ms

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:

8.0ms	(- (* x.im y.re) (* x.re y.im))
22.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- (* x.im y.re) (* x.re y.im))
113.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify1.0s

Counts

52 → 52

Iterations

Iter	Nodes
3	2913
2	896
1	259
0	91

prune672.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 24.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.7b	(- (* x.im y.re) (* x.re y.im))
15.7b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
29.1b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
29.1b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite59.0ms

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:

10.0ms	(- (* x.im y.re) (* x.re y.im))
22.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
13.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
12.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (* x.im y.re) (* x.re y.im))
177.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
65.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
42.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify963.0ms

Counts

102 → 102

Iterations

Iter	Nodes
3	2511
2	896
1	314
0	124

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 21.5b

localize39.0ms

Local error

Found 4 expressions with local error:

11.2b	(/ (* x.im y.re) (sqrt (+ (* y.re y.re) (* y.im y.im))))
29.1b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
29.1b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
29.1b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite34.0ms

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`
8×	`sqrt-div`
7×	`pow1`
6×	`associate-/r*` `times-frac`
4×	`flip3-+` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

15.0ms	(/ (* x.im y.re) (sqrt (+ (* y.re y.re) (* y.im y.im))))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ (* x.im y.re) (sqrt (+ (* y.re y.re) (* y.im y.im))))
68.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
43.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
62.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify811.0ms

Counts

90 → 90

Iterations

Iter	Nodes
3	2117
2	612
1	204
0	86

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 21.2b

localize44.0ms

Local error

Found 4 expressions with local error:

8.4b	(/ (* x.re y.im) (sqrt (+ (* y.re y.re) (* y.im y.im))))
29.1b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
29.1b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
29.1b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite53.0ms

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`
8×	`sqrt-div`
7×	`pow1`
6×	`associate-/r*` `times-frac`
4×	`flip3-+` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

15.0ms	(/ (* x.re y.im) (sqrt (+ (* y.re y.re) (* y.im y.im))))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
12.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
20.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ (* x.re y.im) (sqrt (+ (* y.re y.re) (* y.im y.im))))
51.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
51.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
59.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify797.0ms

Counts

90 → 90

Iterations

Iter	Nodes
3	2115
2	616
1	205
0	86

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 20.6b

regimes410.0ms

Accuracy

0% (0.5b remaining)

Error of 22.4b against oracle of 21.9b and baseline of 22.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	17
1	17
0	14

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.6s

8462×

body

valid