Details

sample60.0ms

Algorithm

intervals

Results

42.0ms

270×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
2	21
1	17
0	11

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize31.0ms

Local error

Found 2 expressions with local error:

0.3b	(fma a c (* b d))
27.9b	(/ (fma a c (* b d)) (fma d d (* c c)))

rewrite9.0ms

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))
8.0ms	(/ (fma a c (* b d)) (fma d d (* c c)))

series212.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(fma a c (* b d))
146.0ms	(/ (fma a c (* b d)) (fma d d (* c c)))

simplify1.2s

Counts

47 → 47

Iterations

Iter	Nodes
done	2003
4	2003
3	1019
2	285
1	109
0	65

prune322.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 27.5b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma a c (* b d))
16.7b	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
30.6b	(sqrt (fma d d (* c c)))
30.6b	(sqrt (fma d d (* c c)))

rewrite17.0ms

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))
10.0ms	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
2.0ms	(sqrt (fma d d (* c c)))
3.0ms	(sqrt (fma d d (* c c)))

series380.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(fma a c (* b d))
196.0ms	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
60.0ms	(sqrt (fma d d (* c c)))
65.0ms	(sqrt (fma d d (* c c)))

simplify1.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	2004
4	2004
3	974
2	304
1	146
0	91

prune652.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 25.9b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma a c (* b d))
16.8b	(* (fma a c (* b d)) (/ 1 (sqrt (fma d d (* c c)))))
30.6b	(sqrt (fma d d (* c c)))
30.6b	(sqrt (fma d d (* c c)))

rewrite20.0ms

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))
14.0ms	(* (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)))

series406.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(fma a c (* b d))
201.0ms	(* (fma a c (* b d)) (/ 1 (sqrt (fma d d (* c c)))))
59.0ms	(sqrt (fma d d (* c c)))
78.0ms	(sqrt (fma d d (* c c)))

simplify1.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	2002
4	2002
3	1798
2	592
1	258
0	114

prune681.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 25.9b

localize39.0ms

Local error

Found 2 expressions with local error:

0.3b	(fma d b (* a c))
27.9b	(/ (fma d b (* a c)) (fma d d (* c c)))

rewrite10.0ms

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 d b (* a c))
8.0ms	(/ (fma d b (* a c)) (fma d d (* c c)))

series197.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(fma d b (* a c))
137.0ms	(/ (fma d b (* a c)) (fma d d (* c c)))

simplify1.2s

Counts

47 → 47

Iterations

Iter	Nodes
done	2002
4	2002
3	886
2	283
1	106
0	66

prune235.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 25.9b

regimes357.0ms

Accuracy

0% (2.6b remaining)

Error of 26.1b against oracle of 23.5b and baseline of 26.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.0s

8480×

body

valid