Details

sample94.0ms

Algorithm

intervals

Results

27.0ms	193×	body	80	valid
26.0ms	29×	body	2560	valid
11.0ms	14×	body	1280	valid
9.0ms	8×	body	5120	valid
3.0ms	6×	body	640	valid
2.0ms	4×	body	320	valid
1.0ms	2×	body	160	valid

simplify23.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	31
3	31
2	29
1	24
0	12

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.5b

localize18.0ms

Local error

Found 1 expressions with local error:

0.4b	(+ (hypot re im) re)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

4.0ms

(+ (hypot re im) re)

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

(+ (hypot re im) re)

simplify1.1s

Counts

21 → 21

Iterations

Iter	Nodes
5	2602
4	931
3	381
2	171
1	76
0	32

prune237.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 12.4b

localize52.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (hypot re im) re)
0.4b	(cbrt (+ (hypot re im) re))
0.4b	(cbrt (+ (hypot re im) re))
0.4b	(cbrt (+ (hypot re im) re))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
3×	`fma-def` `pow1/3`
1×	`+-commutative` `sum-log`

Counts

4 → 69

Calls

4 calls:

8.0ms	(+ (hypot re im) re)
5.0ms	(cbrt (+ (hypot re im) re))
5.0ms	(cbrt (+ (hypot re im) re))
5.0ms	(cbrt (+ (hypot re im) re))

series696.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(+ (hypot re im) re)
224.0ms	(cbrt (+ (hypot re im) re))
205.0ms	(cbrt (+ (hypot re im) re))
182.0ms	(cbrt (+ (hypot re im) re))

simplify1.3s

Counts

81 → 81

Iterations

Iter	Nodes
4	3102
3	1124
2	438
1	187
0	84

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 12.4b

localize79.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (hypot re im))
0.6b	(cbrt (hypot re im))
0.6b	(cbrt (hypot re im))
14.8b	(fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (hypot re im))
1.0ms	(cbrt (hypot re im))
1.0ms	(cbrt (hypot re im))
1.0ms	(fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re)

series683.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (hypot re im))
163.0ms	(cbrt (hypot re im))
159.0ms	(cbrt (hypot re im))
212.0ms	(fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re)

simplify1.7s

Counts

65 → 65

Iterations

Iter	Nodes
5	3961
4	1239
3	458
2	172
1	84
0	51

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 12.4b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (hypot re im))
0.0b	(sqrt (hypot re im))
15.1b	(fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`sqrt-prod`
5×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`fma-udef`

Counts

3 → 43

Calls

3 calls:

3.0ms	(sqrt (hypot re im))
2.0ms	(sqrt (hypot re im))
1.0ms	(fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)

series459.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(sqrt (hypot re im))
118.0ms	(sqrt (hypot re im))
216.0ms	(fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)

simplify1.0s

Counts

52 → 52

Iterations

Iter	Nodes
4	2078
3	691
2	251
1	117
0	58

prune544.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 12.3b

regimes165.0ms

Accuracy

0% (0.2b remaining)

Error of 13.5b against oracle of 13.3b and baseline of 13.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	12
1	12
0	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	5994×	body	80	valid
568.0ms	712×	body	2560	valid
305.0ms	519×	body	1280	valid
262.0ms	295×	body	5120	valid
105.0ms	250×	body	640	valid
45.0ms	151×	body	320	valid
16.0ms	79×	body	160	valid