Details

sample180.0ms

Algorithm

intervals

Results

42.0ms	423×	body	80	valid
20.0ms	423×	pre	80	true

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
9	2834
8	1992
7	1401
6	1013
5	567
4	221
3	70
2	33
1	17
0	8

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`times-frac`
13×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
8×	`pow1`
7×	`fma-neg`
6×	`add-log-exp` `difference-of-squares`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `div-exp` `prod-exp` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`expm1-def` `associate-/r*` `sub-neg` `cbrt-unprod` `distribute-lft-out--`
2×	`cbrt-undiv` `difference-of-sqr-1` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `associate-/l*`

Counts

4 → 151

Calls

4 calls:

35.0ms	(- (/ (* m (- 1 m)) v) 1)
34.0ms	(* m (- 1 m))
29.0ms	(/ (* m (- 1 m)) v)
113.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series207.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (/ (* m (- 1 m)) v) 1)
74.0ms	(* m (- 1 m))
37.0ms	(/ (* m (- 1 m)) v)
64.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify7.9s

Counts

163 → 163

Iterations

Iter	Nodes
3	4229
2	1196
1	499
0	227

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v m)) (fma (/ m (/ v m)) m m))
0.1b	(fma (/ m (/ v m)) m m)
0.2b	(/ m (/ v m))
0.2b	(/ m (/ v m))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

417×	`times-frac`
281×	`add-sqr-sqrt`
274×	`*-un-lft-identity`
272×	`add-cube-cbrt`
132×	`prod-diff`
44×	`fma-neg`
26×	`associate-/r*` `div-inv`
14×	`add-cbrt-cube` `add-exp-log`
6×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`clear-num` `frac-2neg` `fma-udef`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate--r+` `distribute-lft-out--`

Counts

4 → 353

Calls

4 calls:

37.0ms	(- (/ m (/ v m)) (fma (/ m (/ v m)) m m))
0.0ms	(fma (/ m (/ v m)) m m)
6.0ms	(/ m (/ v m))
6.0ms	(/ m (/ v m))

series146.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (/ m (/ v m)) (fma (/ m (/ v m)) m m))
57.0ms	(fma (/ m (/ v m)) m m)
31.0ms	(/ m (/ v m))
22.0ms	(/ m (/ v m))

simplify1.1s

Counts

365 → 365

Iterations

Iter	Nodes
2	2180
1	777
0	335

prune4.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (/ m v) m (- (fma m (* m (/ m v)) m)))
0.1b	(fma m (* m (/ m v)) m)
0.2b	(* m (/ m v))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv`

Counts

3 → 57

Calls

3 calls:

0.0ms	(fma (/ m v) m (- (fma m (* m (/ m v)) m)))
0.0ms	(fma m (* m (/ m v)) m)
9.0ms	(* m (/ m v))

series137.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(fma (/ m v) m (- (fma m (* m (/ m v)) m)))
66.0ms	(fma m (* m (/ m v)) m)
28.0ms	(* m (/ m v))

simplify8.7s

Counts

66 → 66

Iterations

Iter	Nodes
4	10645
3	1948
2	594
1	214
0	97

prune691.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ 1 (/ (/ v m) m)) m m)
0.2b	(/ (/ v m) m)
0.2b	(/ 1 (/ (/ v m) m))
0.2b	(/ m (/ v m))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

543×	`times-frac`
272×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
59×	`associate-/r*`
35×	`add-exp-log`
27×	`div-inv`
23×	`add-cbrt-cube`
21×	`div-exp`
19×	`associate-/l*`
12×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
2×	`associate-/r/`
1×	`fma-udef` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 360

Calls

4 calls:

0.0ms	(fma (/ 1 (/ (/ v m) m)) m m)
16.0ms	(/ (/ v m) m)
14.0ms	(/ 1 (/ (/ v m) m))
10.0ms	(/ m (/ v m))

series187.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(fma (/ 1 (/ (/ v m) m)) m m)
47.0ms	(/ (/ v m) m)
39.0ms	(/ 1 (/ (/ v m) m))
21.0ms	(/ m (/ v m))

simplify7.0s

Counts

372 → 372

Iterations

Iter	Nodes
2	3097
1	1286
0	515

prune3.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	8
1	8
0	7

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.7s	13825×	body	80	valid
651.0ms	13825×	pre	80	true