Details

sample39.0ms

Algorithm

intervals

Results

25.0ms

274×

body

valid

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
2	21
1	17
0	11

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b	(fma a c (* b d))
25.0b	(/ (fma a c (* b d)) (fma d d (* c c)))

rewrite5.0ms

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`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 41

Calls

2 calls:

0.0ms	(fma a c (* b d))
4.0ms	(/ (fma a c (* b d)) (fma d d (* c c)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(fma a c (* b d))
103.0ms	(/ (fma a c (* b d)) (fma d d (* c c)))

simplify464.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	2002
3	1019
2	285
1	109
0	65

prune204.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 24.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma a c (* b d))
15.6b	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
31.7b	(sqrt (fma d d (* c c)))
31.7b	(sqrt (fma d d (* c c)))

rewrite8.0ms

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 a c (* b d))
5.0ms	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
1.0ms	(sqrt (fma d d (* c c)))
1.0ms	(sqrt (fma d d (* c c)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(fma a c (* b d))
120.0ms	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
46.0ms	(sqrt (fma d d (* c c)))
53.0ms	(sqrt (fma d d (* c c)))

simplify595.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	2004
3	974
2	304
1	146
0	91

prune526.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 23.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma b d (* c a))
15.6b	(/ (fma b d (* c a)) (sqrt (fma d d (* c c))))
31.7b	(sqrt (fma d d (* c c)))
31.7b	(sqrt (fma d d (* c c)))

rewrite8.0ms

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 b d (* c a))
5.0ms	(/ (fma b d (* c a)) (sqrt (fma d d (* c c))))
1.0ms	(sqrt (fma d d (* c c)))
1.0ms	(sqrt (fma d d (* c c)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(fma b d (* c a))
154.0ms	(/ (fma b d (* c a)) (sqrt (fma d d (* c c))))
57.0ms	(sqrt (fma d d (* c c)))
57.0ms	(sqrt (fma d d (* c c)))

simplify546.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	2000
3	845
2	306
1	143
0	92

prune492.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 22.9b

localize19.0ms

Local error

Found 3 expressions with local error:

0.3b	(fma a c (* b d))
0.7b	(/ 1 (/ (fma d d (* c c)) (fma a c (* b d))))
24.6b	(/ (fma d d (* c c)) (fma a c (* b d)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*` `add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`associate-/r/` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 120

Calls

3 calls:

0.0ms	(fma a c (* b d))
6.0ms	(/ 1 (/ (fma d d (* c c)) (fma a c (* b d))))
4.0ms	(/ (fma d d (* c c)) (fma a c (* b d)))

series306.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(fma a c (* b d))
162.0ms	(/ 1 (/ (fma d d (* c c)) (fma a c (* b d))))
94.0ms	(/ (fma d d (* c c)) (fma a c (* b d)))

simplify584.0ms

Counts

129 → 129

Iterations

Iter	Nodes
done	2000
2	885
1	366
0	164

prune439.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 14.3b

regimes187.0ms

Accuracy

0% (2.3b remaining)

Error of 16.1b against oracle of 13.8b and baseline of 16.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

8466×

body

valid