Details

sample216.0ms

Algorithm

intervals

Results

83.0ms	86×	body	1280	valid
72.0ms	96×	body	2560	valid
24.0ms	284×	body	80	nan
14.0ms	32×	body	640	valid
5.0ms	19×	body	320	valid
3.0ms	12×	body	160	valid
1.0ms	11×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize29.0ms

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)))

rewrite6.0ms

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:

4.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
1.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
3.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify1.1s

Counts

47 → 47

Iterations

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

prune232.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

9.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
1.0ms	(log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
0.0ms	(expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
2.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ (fma (* -5 v) v 1) (fma v v -1))
110.0ms	(log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
158.0ms	(expm1 (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
4.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify1.0s

Counts

77 → 77

Iterations

Iter	Nodes
done	2006
4	2006
3	1217
2	432
1	184
0	108

prune421.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.6b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`pow1`
18×	`sqrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up` `log1p-expm1-u`
4×	`expm1-log1p-u` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`acos-asin`
1×	`pow2` `expm1-log1p` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `expm1-udef`

Counts

4 → 86

Calls

4 calls:

9.0ms	(* (sqrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))) (sqrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
0.0ms	(expm1 (* (sqrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))) (sqrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))
1.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
1.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (sqrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))) (sqrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
160.0ms	(expm1 (* (sqrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1))))) (sqrt (log1p (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))
2.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
3.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify1.3s

Counts

98 → 98

Iterations

Iter	Nodes
done	2041
4	2041
3	688
2	265
1	145
0	84

prune392.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.6b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
52×	`add-sqr-sqrt`
44×	`*-un-lft-identity` `add-cube-cbrt`
40×	`cbrt-prod`
20×	`add-exp-log`
11×	`pow1` `add-cbrt-cube`
10×	`associate-/l*`
9×	`div-inv`
7×	`cbrt-undiv` `associate-/r*` `div-exp`
6×	`pow1/3` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `acos-asin` `pow-plus` `*-commutative` `associate-/l/`

Counts

4 → 153

Calls

4 calls:

8.0ms	(/ (fma (* -5 v) v 1) (* (cbrt (fma v v -1)) (cbrt (fma v v -1))))
23.0ms	(/ (/ (fma (* -5 v) v 1) (* (cbrt (fma v v -1)) (cbrt (fma v v -1)))) (cbrt (fma v v -1)))
14.0ms	(* (cbrt (fma v v -1)) (cbrt (fma v v -1)))
2.0ms	(acos (/ (/ (fma (* -5 v) v 1) (* (cbrt (fma v v -1)) (cbrt (fma v v -1)))) (cbrt (fma v v -1))))

series434.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(/ (fma (* -5 v) v 1) (* (cbrt (fma v v -1)) (cbrt (fma v v -1))))
77.0ms	(/ (/ (fma (* -5 v) v 1) (* (cbrt (fma v v -1)) (cbrt (fma v v -1)))) (cbrt (fma v v -1)))
152.0ms	(* (cbrt (fma v v -1)) (cbrt (fma v v -1)))
3.0ms	(acos (/ (/ (fma (* -5 v) v 1) (* (cbrt (fma v v -1)) (cbrt (fma v v -1)))) (cbrt (fma v v -1))))

simplify1.3s

Counts

165 → 165

Iterations

Iter	Nodes
done	2121
3	2121
2	1476
1	575
0	250

prune727.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.6b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample7.2s

Algorithm

intervals

Results

3.4s	3011×	body	2560	valid
1.6s	2489×	body	1280	valid
821.0ms	8068×	body	80	nan
690.0ms	1220×	body	640	valid
237.0ms	664×	body	320	valid
113.0ms	418×	body	160	valid
24.0ms	198×	body	80	valid