Details

sample263.0ms

Algorithm

intervals

Results

51.0ms	442×	body	80	valid
24.0ms	442×	pre	80	true

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2986
4	562
3	136
2	42
1	19
0	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

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) (- 1 m))

rewrite127.0ms

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:

18.0ms	(* m (- 1 m))
16.0ms	(/ (* m (- 1 m)) v)
90.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series180.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(* m (- 1 m))
51.0ms	(/ (* m (- 1 m)) v)
50.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify1.7s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
2	1753
1	571
0	226

prune493.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

171×	`times-frac`
167×	`add-sqr-sqrt`
149×	`*-un-lft-identity`
93×	`add-cube-cbrt`
40×	`difference-of-squares`
30×	`associate-/r*`
18×	`prod-diff` `distribute-lft-out--`
13×	`associate-l`
12×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-/r/` `flip--`
6×	`associate-r` `div-inv` `associate-/l*`
5×	`pow1`
4×	`frac-times` `cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `difference-of-sqr-1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `sub-neg` `frac-2neg` `associate-l/` `associate-r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 225

Calls

3 calls:

9.0ms	(/ v (- 1 m))
22.0ms	(/ m (/ v (- 1 m)))
220.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))

series153.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ v (- 1 m))
50.0ms	(/ m (/ v (- 1 m)))
56.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))

simplify2.6s

Counts

234 → 234

Iterations

Iter	Nodes
done	5000
2	3075
1	976
0	376

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

417×	`times-frac`
382×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
192×	`add-cube-cbrt`
110×	`associate-r`
102×	`difference-of-squares`
76×	`sqrt-prod`
51×	`distribute-lft-out--`
42×	`associate-/r*`
22×	`add-cbrt-cube` `add-exp-log`
18×	`prod-diff` `associate-/r/`
14×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`div-inv`
8×	`pow1` `associate-l`
7×	`cbrt-undiv` `div-exp`
6×	`frac-times` `associate-/l*`
4×	`expm1-log1p-u` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-*r/`
2×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `pow-prod-down` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 398

Calls

4 calls:

14.0ms	(/ m (/ v (- 1 (sqrt m))))
15.0ms	(/ v (- 1 (sqrt m)))
96.0ms	(* (- (* (+ 1 (sqrt m)) (/ m (/ v (- 1 (sqrt m))))) 1) (- 1 m))
78.0ms	(* (+ 1 (sqrt m)) (/ m (/ v (- 1 (sqrt m)))))

series531.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(/ m (/ v (- 1 (sqrt m))))
92.0ms	(/ v (- 1 (sqrt m)))
70.0ms	(* (- (* (+ 1 (sqrt m)) (/ m (/ v (- 1 (sqrt m))))) 1) (- 1 m))
255.0ms	(* (+ 1 (sqrt m)) (/ m (/ v (- 1 (sqrt m)))))

simplify1.5s

Counts

410 → 410

Iterations

Iter	Nodes
done	5002
1	1567
0	546

prune1.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

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:

16.0ms	(/ (* (- 1 m) m) v)
35.0ms	(/ (* (- 1 m) m) v)
0.0ms	(fma (- (/ (* (- 1 m) m) v) 1) (sqrt m) (- (/ (* (- 1 m) m) v) 1))
32.0ms	(* (fma (- (/ (* (- 1 m) m) v) 1) (sqrt m) (- (/ (* (- 1 m) m) v) 1)) (- 1 (sqrt m)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (* (- 1 m) m) v)
43.0ms	(/ (* (- 1 m) m) v)
110.0ms	(fma (- (/ (* (- 1 m) m) v) 1) (sqrt m) (- (/ (* (- 1 m) m) v) 1))
123.0ms	(* (fma (- (/ (* (- 1 m) m) v) 1) (sqrt m) (- (/ (* (- 1 m) m) v) 1)) (- 1 (sqrt m)))

simplify1.6s

Counts

144 → 144

Iterations

Iter	Nodes
done	5002
2	1479
1	467
0	213

prune723.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes148.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.7s	13850×	body	80	valid
634.0ms	13850×	pre	80	true