Details

sample17.0ms

Algorithm

intervals

Results

7.0ms	239×	body	80	valid
1.0ms	9×	body	640	valid
1.0ms	6×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify302.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	299
6	299
5	297
4	260
3	147
2	53
1	20
0	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 3 x z)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

0.0ms

(fma 3 x z)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma 3 x z)

simplify2.5s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
5	2663
4	663
3	176
2	58
1	22
0	16

prune86.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

16.0ms

(+ (* 3 x) z)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(+ (* 3 x) z)

simplify4.5s

Counts

18 → 18

Iterations

Iter	Nodes
done	5000
4	4898
3	876
2	254
1	90
0	28

prune102.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma 3 x z))
0.1b	(fma 3 x z)
0.1b	(fma 3 x z)
0.3b	(* (sqrt (fma 3 x z)) (sqrt (fma 3 x z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

3.0ms	(sqrt (fma 3 x z))
1.0ms	(fma 3 x z)
1.0ms	(fma 3 x z)
27.0ms	(* (sqrt (fma 3 x z)) (sqrt (fma 3 x z)))

series180.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt (fma 3 x z))
35.0ms	(fma 3 x z)
35.0ms	(fma 3 x z)
48.0ms	(* (sqrt (fma 3 x z)) (sqrt (fma 3 x z)))

simplify2.2s

Counts

102 → 102

Iterations

Iter	Nodes
done	5002
3	1504
2	393
1	160
0	86

prune487.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (fma 3 x z)))
0.1b	(sqrt (sqrt (fma 3 x z)))
0.2b	(* (sqrt (fma 3 x z)) (sqrt (sqrt (fma 3 x z))))
0.2b	(* (* (sqrt (fma 3 x z)) (sqrt (sqrt (fma 3 x z)))) (sqrt (sqrt (fma 3 x z))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-pow1`
53×	`sqrt-prod`
49×	`pow1`
38×	`add-sqr-sqrt`
32×	`pow-prod-up`
30×	`pow1/2`
18×	`associate-r`
16×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`pow-prod-down`
7×	`associate-l`
6×	`pow3` `unswap-sqr`
4×	`expm1-log1p-u` `rem-sqrt-square` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`pow-plus` `*-commutative`

Counts

4 → 136

Calls

4 calls:

2.0ms	(sqrt (sqrt (fma 3 x z)))
4.0ms	(sqrt (sqrt (fma 3 x z)))
26.0ms	(* (sqrt (fma 3 x z)) (sqrt (sqrt (fma 3 x z))))
60.0ms	(* (* (sqrt (fma 3 x z)) (sqrt (sqrt (fma 3 x z)))) (sqrt (sqrt (fma 3 x z))))

series873.0ms

Counts

4 → 12

Calls

4 calls:

288.0ms	(sqrt (sqrt (fma 3 x z)))
276.0ms	(sqrt (sqrt (fma 3 x z)))
273.0ms	(* (sqrt (fma 3 x z)) (sqrt (sqrt (fma 3 x z))))
35.0ms	(* (* (sqrt (fma 3 x z)) (sqrt (sqrt (fma 3 x z)))) (sqrt (sqrt (fma 3 x z))))

simplify2.0s

Counts

148 → 148

Iterations

Iter	Nodes
done	5000
2	1045
1	382
0	163

prune730.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
0	7

end0.0ms

sample897.0ms

Algorithm

intervals

Results

484.0ms	7428×	body	80	valid
86.0ms	196×	body	640	valid
47.0ms	177×	body	1280	valid
15.0ms	107×	body	320	valid
14.0ms	35×	body	2560	valid
7.0ms	69×	body	160	valid