Details

sample20.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	7
1	7
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize35.0ms

Local error

Found 1 expressions with local error:

30.0b

(sqrt (+ (* re re) (* im im)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

13.0ms

(sqrt (+ (* re re) (* im im)))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(sqrt (+ (* re re) (* im im)))

simplify1.1s

Counts

19 → 19

Iterations

Iter	Nodes
5	2938
4	990
3	437
2	196
1	92
0	39

prune133.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 7.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sqrt (+ (* re re) (* im im))))
30.0b	(sqrt (+ (* re re) (* im im)))
30.0b	(sqrt (+ (* re re) (* im im)))
30.0b	(sqrt (+ (* re re) (* im im)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-div`
7×	`pow1`
6×	`cbrt-prod`
4×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 65

Calls

4 calls:

9.0ms	(cbrt (sqrt (+ (* re re) (* im im))))
11.0ms	(sqrt (+ (* re re) (* im im)))
10.0ms	(sqrt (+ (* re re) (* im im)))
6.0ms	(sqrt (+ (* re re) (* im im)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (sqrt (+ (* re re) (* im im))))
39.0ms	(sqrt (+ (* re re) (* im im)))
42.0ms	(sqrt (+ (* re re) (* im im)))
58.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.3s

Counts

77 → 77

Iterations

Iter	Nodes
4	2993
3	997
2	350
1	149
0	72

prune878.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 7.4b

localize26.0ms

Local error

Found 4 expressions with local error:

4.2b	(exp (log (cbrt (sqrt (+ (* re re) (* im im))))))
30.0b	(sqrt (+ (* re re) (* im im)))
30.0b	(sqrt (+ (* re re) (* im im)))
30.0b	(sqrt (+ (* re re) (* im im)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`sqrt-prod`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`log-prod` `exp-sum`
8×	`pow1` `sqrt-div`
6×	`cbrt-prod`
5×	`exp-prod`
4×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`log-div` `cbrt-div` `exp-diff` `log-pow`
1×	`pow1/3` `rem-exp-log`

Counts

4 → 73

Calls

4 calls:

13.0ms	(exp (log (cbrt (sqrt (+ (* re re) (* im im))))))
6.0ms	(sqrt (+ (* re re) (* im im)))
6.0ms	(sqrt (+ (* re re) (* im im)))
7.0ms	(sqrt (+ (* re re) (* im im)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(exp (log (cbrt (sqrt (+ (* re re) (* im im))))))
50.0ms	(sqrt (+ (* re re) (* im im)))
56.0ms	(sqrt (+ (* re re) (* im im)))
57.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
4	3144
3	1081
2	413
1	199
0	113

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 7.4b

localize98.0ms

Local error

Found 4 expressions with local error:

30.0b	(sqrt (+ (* re re) (* im im)))
30.0b	(sqrt (+ (* re re) (* im im)))
30.0b	(sqrt (+ (* re re) (* im im)))
30.0b	(sqrt (+ (* re re) (* im im)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

6.0ms	(sqrt (+ (* re re) (* im im)))
6.0ms	(sqrt (+ (* re re) (* im im)))
6.0ms	(sqrt (+ (* re re) (* im im)))
6.0ms	(sqrt (+ (* re re) (* im im)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sqrt (+ (* re re) (* im im)))
57.0ms	(sqrt (+ (* re re) (* im im)))
52.0ms	(sqrt (+ (* re re) (* im im)))
66.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.3s

Counts

76 → 76

Iterations

Iter	Nodes
5	2938
4	990
3	437
2	196
1	92
0	39

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 7.4b

regimes456.0ms

Accuracy

59.4% (8.8b remaining)

Error of 16.3b against oracle of 7.5b and baseline of 29.1b

bsearch54.0ms

Steps

Iters	Range		Point
6	1.86014606682497e+150	2.145875551940541e+151	1.8950881144742005e+151
6	-1.6499865516092208e+156	-3.487075647658288e+155	-3.5255786888219323e+155

simplify2.0ms

Iterations

Iter	Nodes
2	14
1	14
0	13

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.1s

8000×

body

valid