Details

sample164.0ms

Algorithm

intervals

Results

41.0ms	437×	body	80	valid
20.0ms	437×	pre	80	true

simplify829.0ms

Counts

1 → 1

Iterations

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

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

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)

series89.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(fma (/ m v) (- 1 m) -1)
53.0ms	(* (fma (/ m v) (- 1 m) -1) m)

simplify1.3s

Counts

38 → 38

Iterations

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

prune402.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite63.0ms

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))
46.0ms	(* (* (fma (/ m v) (- 1 m) -1) (sqrt m)) (sqrt m))

series198.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(fma (/ m v) (- 1 m) -1)
99.0ms	(* (fma (/ m v) (- 1 m) -1) (sqrt m))
78.0ms	(* (* (fma (/ m v) (- 1 m) -1) (sqrt m)) (sqrt m))

simplify993.0ms

Counts

69 → 69

Iterations

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

prune580.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (fma (- 1 m) (/ m v) -1) (sqrt m)) (fabs (cbrt m))) (sqrt (cbrt m)))
0.3b	(* (* (fma (- 1 m) (/ m v) -1) (sqrt m)) (fabs (cbrt m)))
0.6b	(cbrt m)
0.6b	(cbrt m)

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

70.0ms	(* (* (* (fma (- 1 m) (/ m v) -1) (sqrt m)) (fabs (cbrt m))) (sqrt (cbrt m)))
44.0ms	(* (* (fma (- 1 m) (/ m v) -1) (sqrt m)) (fabs (cbrt m)))
1.0ms	(cbrt m)
1.0ms	(cbrt m)

series961.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (* (* (fma (- 1 m) (/ m v) -1) (sqrt m)) (fabs (cbrt m))) (sqrt (cbrt m)))
116.0ms	(* (* (fma (- 1 m) (/ m v) -1) (sqrt m)) (fabs (cbrt m)))
316.0ms	(cbrt m)
313.0ms	(cbrt m)

simplify1.4s

Counts

91 → 91

Iterations

Iter	Nodes
done	2001
3	2001
2	1735
1	522
0	187

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (fma (/ m v) (- 1 m) -1) (* (fabs (cbrt m)) (sqrt m))) (sqrt (cbrt m)))
0.4b	(* (fabs (cbrt m)) (sqrt m))
0.6b	(cbrt m)
0.6b	(cbrt m)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

79.0ms	(* (* (fma (/ m v) (- 1 m) -1) (* (fabs (cbrt m)) (sqrt m))) (sqrt (cbrt m)))
15.0ms	(* (fabs (cbrt m)) (sqrt m))
1.0ms	(cbrt m)
1.0ms	(cbrt m)

series851.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(* (* (fma (/ m v) (- 1 m) -1) (* (fabs (cbrt m)) (sqrt m))) (sqrt (cbrt m)))
48.0ms	(* (fabs (cbrt m)) (sqrt m))
308.0ms	(cbrt m)
280.0ms	(cbrt m)

simplify1.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	2001
3	2001
2	1918
1	515
0	191

prune1.2s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.2b 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

sample2.5s

Algorithm

intervals

Results

1.3s	13589×	body	80	valid
525.0ms	13589×	pre	80	true