Details

sample47.0ms

Algorithm

intervals

Results

26.0ms

271×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
2	21
1	17
0	11

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.3b	(fma a c (* b d))
24.1b	(/ (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))
5.0ms	(/ (fma a c (* b d)) (fma d d (* c c)))

series183.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(fma a c (* b d))
129.0ms	(/ (fma a c (* b d)) (fma d d (* c c)))

simplify3.3s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
4	3488
3	1019
2	285
1	109
0	65

prune328.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 23.6b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma a c (* b d))
15.7b	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
28.5b	(sqrt (fma d d (* c c)))
28.5b	(sqrt (fma d d (* c c)))

rewrite9.0ms

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)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(fma a c (* b d))
154.0ms	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
55.0ms	(sqrt (fma d d (* c c)))
68.0ms	(sqrt (fma d d (* c c)))

simplify3.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
4	2818
3	974
2	304
1	146
0	91

prune587.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 22.2b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma a c (* b d))
15.8b	(* (fma a c (* b d)) (/ 1 (sqrt (fma d d (* c c)))))
28.5b	(sqrt (fma d d (* c c)))
28.5b	(sqrt (fma d d (* c c)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
22×	`-un-lft-identity` `times-frac` `associate-r*`
20×	`add-cube-cbrt`
17×	`sqrt-prod`
13×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `fma-udef`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `cbrt-unprod` `hypot-def`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 95

Calls

4 calls:

0.0ms	(fma a c (* b d))
34.0ms	(* (fma a c (* b d)) (/ 1 (sqrt (fma d d (* c c)))))
2.0ms	(sqrt (fma d d (* c c)))
2.0ms	(sqrt (fma d d (* c c)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(fma a c (* b d))
172.0ms	(* (fma a c (* b d)) (/ 1 (sqrt (fma d d (* c c)))))
69.0ms	(sqrt (fma d d (* c c)))
79.0ms	(sqrt (fma d d (* c c)))

simplify1.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	5011
3	1798
2	592
1	258
0	114

prune610.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 22.2b

localize48.0ms

Local error

Found 4 expressions with local error:

8.3b	(/ (fma a c (* b d)) (sqrt (sqrt (fma d d (* c c)))))
28.5b	(sqrt (fma d d (* c c)))
28.5b	(sqrt (fma d d (* c c)))
28.5b	(sqrt (fma d d (* c c)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

45×	`sqrt-prod`
32×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
9×	`associate-/r*`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef` `hypot-def` `associate-/l*`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 105

Calls

4 calls:

9.0ms	(/ (fma a c (* b d)) (sqrt (sqrt (fma d d (* c c)))))
2.0ms	(sqrt (fma d d (* c c)))
2.0ms	(sqrt (fma d d (* c c)))
2.0ms	(sqrt (fma d d (* c c)))

series465.0ms

Counts

4 → 12

Calls

4 calls:

287.0ms	(/ (fma a c (* b d)) (sqrt (sqrt (fma d d (* c c)))))
62.0ms	(sqrt (fma d d (* c c)))
61.0ms	(sqrt (fma d d (* c c)))
54.0ms	(sqrt (fma d d (* c c)))

simplify2.2s

Counts

117 → 117

Iterations

Iter	Nodes
done	5004
4	2993
3	981
2	366
1	187
0	118

prune750.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 22.2b

regimes305.0ms

Accuracy

0% (2.4b remaining)

Error of 25.8b against oracle of 23.3b and baseline of 25.8b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample805.0ms

Algorithm

intervals

Results

602.0ms

8459×

body

valid