Details

sample135.0ms

Algorithm

intervals

Results

26.0ms	427×	body	80	valid
12.0ms	427×	pre	80	true

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	112	13
4	396	13
5	1593	13
done	5000	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 123

Calls

3 calls:

62.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
38.0ms	(/ (* m (- 1.0 m)) v)
146.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series174.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
71.0ms	(/ (* m (- 1.0 m)) v)
65.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify2.0s

Counts

132 → 132

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	223	2849
1	585	2420
2	3263	2121
done	5002	2057

prune303.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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))

rewrite713.0ms

Algorithm

rewrite-expression-head

Rules

561×	`times-frac`
457×	`add-sqr-sqrt`
441×	`*-un-lft-identity`
339×	`add-cube-cbrt`
222×	`prod-diff`
68×	`fma-neg`
55×	`difference-of-squares`
51×	`distribute-lft-out--`
37×	`associate-/r/`
23×	`flip3--` `flip--`
21×	`associate-/r*` `div-inv`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
5×	`pow1` `associate-r` `add-log-exp`
4×	`frac-times`
3×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `log1p-expm1-u` `associate-/l*`
2×	`associate-r/` `associate-l/`
1×	`frac-2neg` `diff-log` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 450

Calls

3 calls:

176.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
18.0ms	(/ m (/ v (- 1.0 m)))
471.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series150.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
62.0ms	(/ m (/ v (- 1.0 m)))
53.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify868.0ms

Counts

459 → 459

Iterations

Useful iterations: done (846.0ms)

Iter	Nodes	Cost
0	519	11642
1	1295	9356
done	5000	8332

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite540.0ms

Algorithm

rewrite-expression-head

Rules

125×	`sqrt-prod`
108×	`prod-diff`
103×	`add-sqr-sqrt`
97×	`*-un-lft-identity`
83×	`add-cube-cbrt`
39×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-times`
23×	`flip3--` `flip--`
16×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
14×	`associate-r`
12×	`flip3-+` `associate-*r/` `flip-+`
11×	`pow1`
9×	`difference-of-squares`
6×	`fma-neg` `associate-l` `add-log-exp`
5×	`prod-exp` `cbrt-unprod` `distribute-lft-out--`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
3×	`sub-neg` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 249

Calls

4 calls:

15.0ms	(- (sqrt 1.0) (sqrt m))
38.0ms	(/ (* m (- 1.0 m)) v)
179.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))
284.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

series493.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (sqrt 1.0) (sqrt m))
53.0ms	(/ (* m (- 1.0 m)) v)
208.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))
167.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

simplify865.0ms

Counts

261 → 261

Iterations

Useful iterations: done (847.0ms)

Iter	Nodes	Cost
0	381	9463
1	1295	7821
done	5000	7142

prune787.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (fma (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)) (- 1.0)) (fma 1.0 -1 1.0)) (- 1.0 m))
0.2b	(fma (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)) (- 1.0))
0.3b	(/ (- 1.0 m) (sqrt v))
0.3b	(/ m (sqrt v))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 162

Calls

4 calls:

79.0ms	(* (+ (fma (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)) (- 1.0)) (fma 1.0 -1 1.0)) (- 1.0 m))
1.0ms	(fma (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)) (- 1.0))
53.0ms	(/ (- 1.0 m) (sqrt v))
12.0ms	(/ m (sqrt v))

series347.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (+ (fma (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)) (- 1.0)) (fma 1.0 -1 1.0)) (- 1.0 m))
110.0ms	(fma (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)) (- 1.0))
61.0ms	(/ (- 1.0 m) (sqrt v))
58.0ms	(/ m (sqrt v))

simplify2.9s

Counts

174 → 174

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	321	3841
1	891	3562
2	4701	3299
done	5000	3297

prune635.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	9	13
done	9	13

end0.0ms

sample1.7s

Algorithm

intervals

Results

729.0ms	13572×	body	80	valid
482.0ms	13572×	pre	80	true