Details

sample168.0ms

Algorithm

intervals

Results

29.0ms	442×	body	80	valid
17.0ms	442×	pre	80	true

simplify5.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2121
4	469
3	119
2	41
1	19
0	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-cbrt-cube` `associate-r` `add-exp-log`
10×	`associate-l`
8×	`flip3--` `flip--`
7×	`pow1`
6×	`associate-*r/` `difference-of-squares`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

3 → 132

Calls

3 calls:

32.0ms	(* m (- 1 m))
22.0ms	(/ (* m (- 1 m)) v)
131.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series162.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* m (- 1 m))
47.0ms	(/ (* m (- 1 m)) v)
47.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify1.7s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
2	1620
1	571
0	226

prune407.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`prod-diff`
34×	`add-cube-cbrt`
21×	`sqrt-prod`
20×	`distribute-rgt-in` `distribute-lft-in`
16×	`add-cbrt-cube` `add-exp-log`
9×	`associate-r`
6×	`pow1` `associate-/r*` `times-frac`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares` `associate-/l/`
3×	`flip3--` `associate-l` `prod-exp` `cbrt-unprod` `flip--`
2×	`clear-num` `sub-neg` `frac-2neg` `associate-r/` `div-inv` `associate-/l` `distribute-lft-out--`
1×	`pow-prod-down` `*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

24.0ms	(/ (* (- 1 m) m) v)
17.0ms	(/ (* (- 1 m) m) v)
59.0ms	(* (fma (sqrt m) (- (/ (* (- 1 m) m) v) 1) (- (/ (* (- 1 m) m) v) 1)) (- 1 (sqrt m)))
1.0ms	(fma (sqrt m) (- (/ (* (- 1 m) m) v) 1) (- (/ (* (- 1 m) m) v) 1))

series338.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (* (- 1 m) m) v)
44.0ms	(/ (* (- 1 m) m) v)
127.0ms	(* (fma (sqrt m) (- (/ (* (- 1 m) m) v) 1) (- (/ (* (- 1 m) m) v) 1)) (- 1 (sqrt m)))
105.0ms	(fma (sqrt m) (- (/ (* (- 1 m) m) v) 1) (- (/ (* (- 1 m) m) v) 1))

simplify1.9s

Counts

144 → 144

Iterations

Iter	Nodes
done	5000
2	1343
1	466
0	213

prune804.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1 m))
0.0b	(/ v (* m (- 1 m)))
0.0b	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) (- 1 m))
0.3b	(/ 1 (/ v (* m (- 1 m))))

rewrite439.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
67×	`*-un-lft-identity`
52×	`add-cube-cbrt`
48×	`times-frac`
36×	`prod-diff`
34×	`add-exp-log`
22×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
17×	`associate-l`
14×	`div-exp` `associate-*r/`
12×	`flip3--` `associate-r` `flip--`
11×	`associate-/r/`
10×	`associate-/r*` `difference-of-squares`
9×	`pow1`
7×	`cbrt-undiv` `div-inv`
6×	`prod-exp` `associate-/l*`
4×	`expm1-log1p-u` `frac-times` `sub-neg` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`rec-exp` `1-exp` `difference-of-sqr-1`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 206

Calls

4 calls:

44.0ms	(* m (- 1 m))
22.0ms	(/ v (* m (- 1 m)))
310.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) (- 1 m))
51.0ms	(/ 1 (/ v (* m (- 1 m))))

series234.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* m (- 1 m))
49.0ms	(/ v (* m (- 1 m)))
54.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) (- 1 m))
54.0ms	(/ 1 (/ v (* m (- 1 m))))

simplify1.8s

Counts

218 → 218

Iterations

Iter	Nodes
done	5003
2	2128
1	792
0	326

prune773.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma m m m) v v)
0.0b	(* m (- (pow 1 3) (pow m 3)))
0.0b	(* (- (/ (* m (- (pow 1 3) (pow m 3))) (fma (fma m m m) v v)) 1) (- 1 m))
0.3b	(/ (* m (- (pow 1 3) (pow m 3))) (fma (fma m m m) v v))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

306×	`prod-diff`
207×	`add-sqr-sqrt`
191×	`*-un-lft-identity`
166×	`add-cube-cbrt`
162×	`unpow-prod-down` `cube-prod`
157×	`distribute-rgt-in` `distribute-lft-in`
58×	`sqr-pow`
49×	`cube-mult`
48×	`unpow3`
40×	`associate-r`
28×	`difference-of-squares`
13×	`add-cbrt-cube` `add-exp-log`
10×	`associate-l`
8×	`pow1` `flip3--` `flip--` `distribute-lft-out--`
6×	`associate-*r/`
4×	`expm1-log1p-u` `frac-times` `sub-neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`difference-cubes` `clear-num` `frac-2neg` `difference-of-sqr-1` `fma-udef` `div-inv` `associate-/l*`

Counts

4 → 441

Calls

4 calls:

0.0ms	(fma (fma m m m) v v)
134.0ms	(* m (- (pow 1 3) (pow m 3)))
763.0ms	(* (- (/ (* m (- (pow 1 3) (pow m 3))) (fma (fma m m m) v v)) 1) (- 1 m))
130.0ms	(/ (* m (- (pow 1 3) (pow m 3))) (fma (fma m m m) v v))

series413.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma (fma m m m) v v)
146.0ms	(* m (- (pow 1 3) (pow m 3)))
94.0ms	(* (- (/ (* m (- (pow 1 3) (pow m 3))) (fma (fma m m m) v v)) 1) (- 1 m))
128.0ms	(/ (* m (- (pow 1 3) (pow m 3))) (fma (fma m m m) v v))

simplify3.1s

Counts

453 → 453

Iterations

Iter	Nodes
done	5031
2	2732
1	1243
0	565

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes177.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

875.0ms	13687×	body	80	valid
478.0ms	13687×	pre	80	true