Details

sample320.0ms

Algorithm

intervals

Results

177.0ms	447×	body	80	valid
21.0ms	447×	pre	80	true

simplify979.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
5	2000
4	362
3	92
2	35
1	19
0	8

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (/ m v) (- 1 m) -1)
0.2b	(* (fma (/ m v) (- 1 m) -1) m)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma (/ m v) (- 1 m) -1)
14.0ms	(* (fma (/ m v) (- 1 m) -1) m)

series72.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(fma (/ m v) (- 1 m) -1)
53.0ms	(* (fma (/ m v) (- 1 m) -1) m)

simplify1.4s

Counts

38 → 38

Iterations

Iter	Nodes
done	2001
4	2001
3	1572
2	312
1	104
0	53

prune134.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (/ m v) (- 1 m) -1)
0.2b	(* (fma (/ m v) (- 1 m) -1) (sqrt m))
0.4b	(* (* (fma (/ m v) (- 1 m) -1) (sqrt m)) (sqrt m))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-r`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`sqrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`fma-udef`

Counts

3 → 60

Calls

3 calls:

0.0ms	(fma (/ m v) (- 1 m) -1)
15.0ms	(* (fma (/ m v) (- 1 m) -1) (sqrt m))
40.0ms	(* (* (fma (/ m v) (- 1 m) -1) (sqrt m)) (sqrt m))

series234.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(fma (/ m v) (- 1 m) -1)
122.0ms	(* (fma (/ m v) (- 1 m) -1) (sqrt m))
81.0ms	(* (* (fma (/ m v) (- 1 m) -1) (sqrt m)) (sqrt m))

simplify1.0s

Counts

69 → 69

Iterations

Iter	Nodes
done	2009
3	2009
2	800
1	235
0	95

prune337.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt m))
0.2b	(* (fma (/ m v) (- 1 m) -1) (sqrt (sqrt m)))
0.4b	(* (* (* (fma (/ m v) (- 1 m) -1) (sqrt (sqrt m))) (sqrt (sqrt m))) (sqrt m))
0.5b	(* (* (fma (/ m v) (- 1 m) -1) (sqrt (sqrt m))) (sqrt (sqrt m)))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

34×	`sqrt-prod`
24×	`associate-r`
23×	`add-sqr-sqrt`
22×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
15×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`expm1-log1p-u` `sqrt-pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 105

Calls

4 calls:

2.0ms	(sqrt (sqrt m))
15.0ms	(* (fma (/ m v) (- 1 m) -1) (sqrt (sqrt m)))
122.0ms	(* (* (* (fma (/ m v) (- 1 m) -1) (sqrt (sqrt m))) (sqrt (sqrt m))) (sqrt m))
55.0ms	(* (* (fma (/ m v) (- 1 m) -1) (sqrt (sqrt m))) (sqrt (sqrt m)))

series524.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(sqrt (sqrt m))
152.0ms	(* (fma (/ m v) (- 1 m) -1) (sqrt (sqrt m)))
75.0ms	(* (* (* (fma (/ m v) (- 1 m) -1) (sqrt (sqrt m))) (sqrt (sqrt m))) (sqrt m))
102.0ms	(* (* (fma (/ m v) (- 1 m) -1) (sqrt (sqrt m))) (sqrt (sqrt m)))

simplify1.4s

Counts

117 → 117

Iterations

Iter	Nodes
done	2009
3	2009
2	1517
1	463
0	174

prune476.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (fma (/ m v) (- 1 m) -1))
0.3b	(cbrt (fma (/ m v) (- 1 m) -1))
0.3b	(cbrt (fma (/ m v) (- 1 m) -1))
0.4b	(* (* (* (cbrt (fma (/ m v) (- 1 m) -1)) (cbrt (fma (/ m v) (- 1 m) -1))) (* (cbrt (fma (/ m v) (- 1 m) -1)) (sqrt m))) (sqrt m))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
1×	`associate-l` `*-commutative`

Counts

4 → 75

Calls

4 calls:

1.0ms	(cbrt (fma (/ m v) (- 1 m) -1))
1.0ms	(cbrt (fma (/ m v) (- 1 m) -1))
1.0ms	(cbrt (fma (/ m v) (- 1 m) -1))
165.0ms	(* (* (* (cbrt (fma (/ m v) (- 1 m) -1)) (cbrt (fma (/ m v) (- 1 m) -1))) (* (cbrt (fma (/ m v) (- 1 m) -1)) (sqrt m))) (sqrt m))

series740.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt (fma (/ m v) (- 1 m) -1))
239.0ms	(cbrt (fma (/ m v) (- 1 m) -1))
246.0ms	(cbrt (fma (/ m v) (- 1 m) -1))
47.0ms	(* (* (* (cbrt (fma (/ m v) (- 1 m) -1)) (cbrt (fma (/ m v) (- 1 m) -1))) (* (cbrt (fma (/ m v) (- 1 m) -1)) (sqrt m))) (sqrt m))

simplify1.2s

Counts

87 → 87

Iterations

Iter	Nodes
done	2004
3	2004
2	1241
1	346
0	132

prune475.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.7s	13714×	body	80	valid
582.0ms	13714×	pre	80	true