Details

sample189.0ms

Algorithm

intervals

Results

48.0ms	421×	body	80	valid
23.0ms	421×	pre	80	true

simplify1.1s

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (/ m v) (- 1 m) -1)
0.1b	(* (fma (/ m v) (- 1 m) -1) m)

rewrite9.0ms

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)
7.0ms	(* (fma (/ m v) (- 1 m) -1) m)

series81.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(fma (/ m v) (- 1 m) -1)
54.0ms	(* (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

prune404.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (/ m v) (- 1 m) -1)
0.1b	(* m (fma (/ m v) (- 1 m) -1))

rewrite7.0ms

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` `fma-udef`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma (/ m v) (- 1 m) -1)
6.0ms	(* m (fma (/ m v) (- 1 m) -1))

series57.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(fma (/ m v) (- 1 m) -1)
36.0ms	(* m (fma (/ m v) (- 1 m) -1))

simplify1.5s

Counts

40 → 40

Iterations

Iter	Nodes
done	2004
4	2004
3	1919
2	341
1	120
0	56

prune340.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(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))

rewrite39.0ms

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)
7.0ms	(* (fma (/ m v) (- 1 m) -1) (sqrt m))
31.0ms	(* (* (fma (/ m v) (- 1 m) -1) (sqrt m)) (sqrt m))

series192.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(fma (/ m v) (- 1 m) -1)
103.0ms	(* (fma (/ m v) (- 1 m) -1) (sqrt m))
65.0ms	(* (* (fma (/ m v) (- 1 m) -1) (sqrt m)) (sqrt m))

simplify1.1s

Counts

69 → 69

Iterations

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

prune615.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

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))
16.0ms	(* (cbrt (fma (/ m v) (- 1 m) -1)) (cbrt (fma (/ m v) (- 1 m) -1)))

series672.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (fma (/ m v) (- 1 m) -1))
184.0ms	(cbrt (fma (/ m v) (- 1 m) -1))
164.0ms	(cbrt (fma (/ m v) (- 1 m) -1))
112.0ms	(* (cbrt (fma (/ m v) (- 1 m) -1)) (cbrt (fma (/ m v) (- 1 m) -1)))

simplify1.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	2003
4	2003
3	1686
2	575
1	252
0	112

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes111.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.8s	13650×	body	80	valid
623.0ms	13650×	pre	80	true