Details

sample153.0ms

Algorithm

intervals

Results

18.0ms	446×	body	80	valid
9.0ms	446×	pre	80	true

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1604
4	395
3	112
2	40
1	16
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 169

Calls

4 calls:

44.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
36.0ms	(* m (- 1.0 m))
32.0ms	(/ (* m (- 1.0 m)) v)
111.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series236.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
69.0ms	(* m (- 1.0 m))
72.0ms	(/ (* m (- 1.0 m)) v)
60.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.8s

Counts

181 → 181

Iterations

Iter	Nodes
done	5001
2	3822
1	679
0	265

prune703.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (- 1.0 m))
0.0b	(- (/ m (/ v (- 1.0 m))) 1.0)
0.0b	(/ m (/ v (- 1.0 m)))
0.1b	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

rewrite561.0ms

Algorithm

rewrite-expression-head

Rules

576×	`times-frac`
476×	`add-sqr-sqrt`
460×	`*-un-lft-identity`
350×	`add-cube-cbrt`
222×	`prod-diff`
68×	`fma-neg`
59×	`difference-of-squares`
55×	`distribute-lft-out--`
39×	`associate-/r/`
26×	`associate-/r*`
24×	`flip3--` `flip--`
22×	`div-inv`
13×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-l`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `div-exp` `log1p-expm1-u`
3×	`sub-neg`
2×	`clear-num` `frac-2neg` `associate-l/` `associate-r/`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 489

Calls

4 calls:

18.0ms	(/ v (- 1.0 m))
133.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
24.0ms	(/ m (/ v (- 1.0 m)))
357.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series224.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ v (- 1.0 m))
30.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
62.0ms	(/ m (/ v (- 1.0 m)))
69.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify781.0ms

Counts

501 → 501

Iterations

Iter	Nodes
done	5001
1	1374
0	545

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ 1 v) (- 1.0 m))
0.1b	(* (+ (fma m (* (/ 1 v) (- 1.0 m)) (- 1.0)) (fma 1.0 -1 1.0)) (- 1.0 m))
0.1b	(fma m (* (/ 1 v) (- 1.0 m)) (- 1.0))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
37×	`add-cube-cbrt`
36×	`prod-diff`
22×	`distribute-rgt-in` `distribute-lft-in`
17×	`associate-l`
14×	`add-exp-log`
11×	`times-frac`
10×	`add-cbrt-cube` `associate-r`
7×	`pow1`
6×	`frac-times`
5×	`flip3--` `prod-exp` `flip--`
4×	`sub-neg` `associate-*r/` `unswap-sqr`
3×	`expm1-log1p-u` `flip3-+` `associate-*l/` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp`
2×	`div-exp` `pow-prod-down` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `rec-exp` `1-exp` `fma-udef` `div-inv` `distribute-lft-out`

Counts

3 → 128

Calls

3 calls:

34.0ms	(* (/ 1 v) (- 1.0 m))
32.0ms	(* (+ (fma m (* (/ 1 v) (- 1.0 m)) (- 1.0)) (fma 1.0 -1 1.0)) (- 1.0 m))
1.0ms	(fma m (* (/ 1 v) (- 1.0 m)) (- 1.0))

series139.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* (/ 1 v) (- 1.0 m))
75.0ms	(* (+ (fma m (* (/ 1 v) (- 1.0 m)) (- 1.0)) (fma 1.0 -1 1.0)) (- 1.0 m))
34.0ms	(fma m (* (/ 1 v) (- 1.0 m)) (- 1.0))

simplify2.4s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	4997
1	770
0	250

prune559.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (/ m v) 1.0) (+ (/ (* m m) v) 1.0))
0.1b	(* (+ (- (* (/ m v) 1.0) (+ (/ (* m m) v) 1.0)) (fma 1.0 -1 1.0)) (- 1.0 m))
14.5b	(/ (* m m) v)

rewrite645.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
22×	`prod-diff`
20×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
5×	`pow1` `associate-r`
4×	`frac-times` `flip3-+` `flip3--` `associate-l` `associate-*l/` `flip-+` `flip--`
3×	`expm1-log1p-u` `associate-/r*` `sub-neg` `times-frac` `log1p-expm1-u`
2×	`cbrt-undiv` `diff-log` `div-exp` `prod-exp` `associate-*r/` `frac-sub` `cbrt-unprod` `distribute-lft-out`
1×	`clear-num` `sum-log` `frac-2neg` `fma-neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `associate--r+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 99

Calls

3 calls:

35.0ms	(- (* (/ m v) 1.0) (+ (/ (* m m) v) 1.0))
595.0ms	(* (+ (- (* (/ m v) 1.0) (+ (/ (* m m) v) 1.0)) (fma 1.0 -1 1.0)) (- 1.0 m))
8.0ms	(/ (* m m) v)

series125.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (* (/ m v) 1.0) (+ (/ (* m m) v) 1.0))
60.0ms	(* (+ (- (* (/ m v) 1.0) (+ (/ (* m m) v) 1.0)) (fma 1.0 -1 1.0)) (- 1.0 m))
25.0ms	(/ (* m m) v)

simplify526.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
1	800
0	242

prune467.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample2.1s

Algorithm

intervals

Results

860.0ms	13900×	pre	80	true
775.0ms	13900×	body	80	valid