Details

sample341.0ms

Algorithm

intervals

Results

219.0ms	448×	body	80	valid
25.0ms	448×	pre	80	true

simplify4.0s

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
7×	`pow1`
4×	`associate-*r/` `difference-of-squares`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `flip3--` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out--` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

3 → 98

Calls

3 calls:

23.0ms	(* m (- 1 m))
14.0ms	(/ (* m (- 1 m)) v)
73.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series162.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* m (- 1 m))
55.0ms	(/ (* m (- 1 m)) v)
44.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify2.2s

Counts

107 → 107

Iterations

Iter	Nodes
3	3190
2	902
1	391
0	177

prune870.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
7×	`pow1`
4×	`associate-*r/` `difference-of-squares`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `flip3--` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out--` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

3 → 98

Calls

3 calls:

15.0ms	(* m (- 1 m))
23.0ms	(/ (* m (- 1 m)) v)
72.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series124.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* m (- 1 m))
43.0ms	(/ (* m (- 1 m)) v)
32.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify2.2s

Counts

107 → 107

Iterations

Iter	Nodes
3	3190
2	902
1	391
0	177

prune960.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

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` `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 → 349

Calls

4 calls:

0.0ms	(fma (/ m (/ v m)) m m)
17.0ms	(- (/ m (/ v m)) (fma (/ m (/ v m)) m m))
8.0ms	(/ m (/ v m))
8.0ms	(/ m (/ v m))

series126.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(fma (/ m (/ v m)) m m)
40.0ms	(- (/ m (/ v m)) (fma (/ m (/ v m)) m m))
26.0ms	(/ m (/ v m))
21.0ms	(/ m (/ v m))

simplify1.1s

Counts

361 → 361

Iterations

Iter	Nodes
2	2170
1	774
0	332

prune4.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ m (/ v m))
0.2b	(/ m (/ v m))
0.2b	(/ m (/ v m))
0.5b	(* (sqrt (fma (/ m (/ v m)) m m)) (sqrt (fma (/ m (/ v m)) m m)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

225×	`times-frac`
150×	`add-sqr-sqrt`
138×	`*-un-lft-identity` `add-cube-cbrt`
39×	`associate-/r*`
21×	`add-cbrt-cube` `add-exp-log`
19×	`pow1`
18×	`sqrt-prod`
15×	`div-inv`
9×	`cbrt-undiv` `div-exp` `associate-/l*`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`associate-r` `associate-l`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg` `pow-prod-down` `associate-/r/` `pow-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 267

Calls

4 calls:

5.0ms	(/ m (/ v m))
9.0ms	(/ m (/ v m))
5.0ms	(/ m (/ v m))
9.0ms	(* (sqrt (fma (/ m (/ v m)) m m)) (sqrt (fma (/ m (/ v m)) m m)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ m (/ v m))
26.0ms	(/ m (/ v m))
21.0ms	(/ m (/ v m))
35.0ms	(* (sqrt (fma (/ m (/ v m)) m m)) (sqrt (fma (/ m (/ v m)) m m)))

simplify2.2s

Counts

279 → 279

Iterations

Iter	Nodes
3	4408
2	1253
1	427
0	199

prune3.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes179.0ms

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

sample2.2s

Algorithm

intervals

Results

1.2s	13566×	body	80	valid
712.0ms	13566×	pre	80	true