Details

sample250.0ms

Algorithm

intervals

Results

95.0ms	100×	body	2560	valid
83.0ms	78×	body	1280	valid
23.0ms	229×	body	80	nan
22.0ms	40×	body	640	valid
8.0ms	20×	body	320	valid
3.0ms	11×	body	160	valid
1.0ms	7×	body	80	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
5	2001
4	491
3	180
2	67
1	26
0	9

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma (* -5 v) v 1) (fma v v -1))
0.6b	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

rewrite8.0ms

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×	`acos-asin` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 41

Calls

2 calls:

6.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
1.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series106.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
4.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify1.3s

Counts

47 → 47

Iterations

Iter	Nodes
done	2053
4	2053
3	1188
2	395
1	154
0	86

prune285.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fma (* -5 v) v 1) (fma v v -1))
0.0b	(expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
0.6b	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
1×	`acos-asin` `cbrt-undiv` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `div-inv` `expm1-udef`

Counts

3 → 53

Calls

3 calls:

7.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
0.0ms	(expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
1.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series287.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
195.0ms	(expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
4.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify1.2s

Counts

62 → 62

Iterations

Iter	Nodes
done	2051
4	2051
3	1077
2	386
1	169
0	98

prune401.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fma v v -1) (fma (* -5 v) v 1))
0.0b	(/ 1 (/ (fma v v -1) (fma (* -5 v) v 1)))
0.6b	(acos (/ 1 (/ (fma v v -1) (fma (* -5 v) v 1))))

rewrite31.0ms

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×	`acos-asin` `associate-/r/` `pow-flip` `inv-pow`

Counts

3 → 120

Calls

3 calls:

13.0ms	(/ (fma v v -1) (fma (* -5 v) v 1))
13.0ms	(/ 1 (/ (fma v v -1) (fma (* -5 v) v 1)))
2.0ms	(acos (/ 1 (/ (fma v v -1) (fma (* -5 v) v 1))))

series199.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(/ (fma v v -1) (fma (* -5 v) v 1))
102.0ms	(/ 1 (/ (fma v v -1) (fma (* -5 v) v 1)))
5.0ms	(acos (/ 1 (/ (fma v v -1) (fma (* -5 v) v 1))))

simplify1.2s

Counts

129 → 129

Iterations

Iter	Nodes
done	2002
3	2002
2	961
1	445
0	199

prune577.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
1.0b	(sqrt (expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
1.0b	(sqrt (expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
1.0b	(* (sqrt (expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))) (sqrt (expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`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×	`rem-sqrt-square`
1×	`pow2` `acos-asin` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

1.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
2.0ms	(sqrt (expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
2.0ms	(sqrt (expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
16.0ms	(* (sqrt (expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))) (sqrt (expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))

series505.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
171.0ms	(sqrt (expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
174.0ms	(sqrt (expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
157.0ms	(* (sqrt (expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))) (sqrt (expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))

simplify2.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	2000
4	2000
3	521
2	201
1	115
0	77

prune554.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

regimes30.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.6s	3023×	body	2560	valid
1.8s	2402×	body	1280	valid
1.0s	8155×	body	80	nan
738.0ms	1264×	body	640	valid
367.0ms	658×	body	320	valid
204.0ms	443×	body	160	valid
33.0ms	210×	body	80	valid