Details

sample347.0ms

Algorithm

intervals

Results

170.0ms	421×	pre	80	true
50.0ms	421×	body	80	valid

simplify3.5s

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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))

rewrite52.0ms

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:

22.0ms	(- (/ m (/ v m)) (fma (/ m (/ v m)) m m))
0.0ms	(fma (/ m (/ v m)) m m)
6.0ms	(/ m (/ v m))
8.0ms	(/ m (/ v m))

series184.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (/ m (/ v m)) (fma (/ m (/ v m)) m m))
59.0ms	(fma (/ m (/ v m)) m m)
30.0ms	(/ m (/ v m))
35.0ms	(/ m (/ v m))

simplify1.2s

Counts

365 → 365

Iterations

Iter	Nodes
2	2180
1	777
0	335

prune4.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1 m))
0.0b	(- (/ (* m (- 1 m)) v) 1)
0.1b	(/ (* m (- 1 m)) v)
0.1b	(* (- (/ (* m (- 1 m)) v) 1) m)

rewrite163.0ms

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:

19.0ms	(* m (- 1 m))
35.0ms	(- (/ (* m (- 1 m)) v) 1)
16.0ms	(/ (* m (- 1 m)) v)
91.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series174.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* m (- 1 m))
23.0ms	(- (/ (* m (- 1 m)) v) 1)
48.0ms	(/ (* m (- 1 m)) v)
36.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify3.4s

Counts

163 → 163

Iterations

Iter	Nodes
3	4018
2	1196
1	495
0	227

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ m (/ v m))
0.2b	(/ (sqrt v) m)
0.3b	(/ m (sqrt v))
0.3b	(/ (/ m (sqrt v)) (/ (sqrt v) m))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

1423×	`times-frac`
674×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
438×	`sqrt-prod`
54×	`div-inv`
44×	`associate-/r*`
34×	`associate-/l*`
25×	`add-cbrt-cube` `add-exp-log`
13×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-/r/`
1×	`associate-/l/`

Counts

4 → 708

Calls

4 calls:

9.0ms	(/ m (/ v m))
10.0ms	(/ (sqrt v) m)
9.0ms	(/ m (sqrt v))
24.0ms	(/ (/ m (sqrt v)) (/ (sqrt v) m))

series247.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ m (/ v m))
93.0ms	(/ (sqrt v) m)
73.0ms	(/ m (sqrt v))
58.0ms	(/ (/ m (sqrt v)) (/ (sqrt v) m))

simplify5.5s

Counts

720 → 720

Iterations

Iter	Nodes
1	3134
0	911

prune8.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ m (/ v m))
0.4b	(* (+ (sqrt (/ m (/ v m))) (sqrt (fma (/ m (/ v m)) m m))) (- (sqrt (/ m (/ v m))) (sqrt (fma (/ m (/ v m)) m m))))
10.0b	(sqrt (/ m (/ v m)))
10.0b	(sqrt (/ m (/ v m)))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

1011×	`times-frac`
912×	`sqrt-prod`
774×	`add-sqr-sqrt`
746×	`*-un-lft-identity`
738×	`add-cube-cbrt`
564×	`prod-diff`
284×	`distribute-rgt-in` `distribute-lft-in`
61×	`div-inv`
15×	`associate-/r/`
13×	`associate-/r` `associate-r*`
11×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `difference-of-squares`
6×	`rem-sqrt-square`
5×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3-+` `flip3--` `div-exp` `flip-+` `flip--` `associate-/l*`
2×	`sub-neg` `sqrt-pow1` `pow1/2` `sqrt-div` `associate-l/` `associate-r/` `distribute-lft-out` `distribute-lft-out--`
1×	`clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 802

Calls

4 calls:

12.0ms	(/ m (/ v m))
193.0ms	(* (+ (sqrt (/ m (/ v m))) (sqrt (fma (/ m (/ v m)) m m))) (- (sqrt (/ m (/ v m))) (sqrt (fma (/ m (/ v m)) m m))))
9.0ms	(sqrt (/ m (/ v m)))
8.0ms	(sqrt (/ m (/ v m)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ m (/ v m))
196.0ms	(* (+ (sqrt (/ m (/ v m))) (sqrt (fma (/ m (/ v m)) m m))) (- (sqrt (/ m (/ v m))) (sqrt (fma (/ m (/ v m)) m m))))
78.0ms	(sqrt (/ m (/ v m)))
99.0ms	(sqrt (/ m (/ v m)))

simplify2.7s

Counts

814 → 814

Iterations

Iter	Nodes
1	3622
0	1062

prune13.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	10
1	10
0	8

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s	13650×	body	80	valid
578.0ms	13650×	pre	80	true