Details

sample343.0ms

Algorithm

intervals

Results

9.0ms	390×	body	80	valid
6.0ms	390×	pre	80	true

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	110	13
4	379	13
5	1133	13
6	3190	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 125

Calls

3 calls:

24.0ms	(* m (- 1.0 m))
24.0ms	(/ (* m (- 1.0 m)) v)
106.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series137.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* m (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)
51.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify964.0ms

Counts

134 → 134

Iterations

Useful iterations: done (956.0ms)

Iter	Nodes	Cost
0	223	2618
1	499	2242
2	1674	1959
done	5002	1880

prune220.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

126×	`prod-diff`
94×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
69×	`distribute-rgt-in` `distribute-lft-in`
60×	`times-frac`
46×	`associate-+l+` `associate-+r+`
20×	`div-inv`
16×	`add-exp-log` `add-cbrt-cube`
14×	`associate-*r/`
10×	`associate-l`
7×	`flip3--` `flip--`
6×	`pow1` `sub-neg` `associate-/r*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `frac-add` `log1p-expm1-u` `associate-/l/`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l*`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `fma-def` `flip3-+` `unsub-neg` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 241

Calls

4 calls:

52.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
24.0ms	(/ (* m (- 1.0 m)) v)
22.0ms	(/ (* m (- 1.0 m)) v)
91.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

series156.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
37.0ms	(/ (* m (- 1.0 m)) v)
41.0ms	(/ (* m (- 1.0 m)) v)
37.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

simplify1.9s

Counts

253 → 253

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	316	6515
1	878	5335
2	2798	4571
done	5000	4229

prune587.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (pow (- (* m (fma m (/ (- 1.0 m) v) (- 1.0)))) 1))
0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(* m (fma m (/ (- 1.0 m) v) (- 1.0)))
0.2b	(fma m (/ (- 1.0 m) v) (- 1.0))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

46×	`associate-+l+`
42×	`prod-diff`
36×	`add-sqr-sqrt`
34×	`add-cube-cbrt` `*-un-lft-identity`
24×	`distribute-rgt-in` `distribute-lft-in`
21×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l` `associate-/r*` `fma-udef`
2×	`cbrt-undiv` `sub-neg` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `flip3--` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `flip-+` `associate-/l` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

43.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (pow (- (* m (fma m (/ (- 1.0 m) v) (- 1.0)))) 1))
21.0ms	(/ (* m (- 1.0 m)) v)
8.0ms	(* m (fma m (/ (- 1.0 m) v) (- 1.0)))
0.0ms	(fma m (/ (- 1.0 m) v) (- 1.0))

series173.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (pow (- (* m (fma m (/ (- 1.0 m) v) (- 1.0)))) 1))
38.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* m (fma m (/ (- 1.0 m) v) (- 1.0)))
31.0ms	(fma m (/ (- 1.0 m) v) (- 1.0))

simplify938.0ms

Counts

129 → 129

Iterations

Useful iterations: done (934.0ms)

Iter	Nodes	Cost
0	167	2707
1	421	2328
2	1334	1994
done	5000	1808

prune418.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 233

Calls

4 calls:

23.0ms	(* m (- 1.0 m))
22.0ms	(/ (* m (- 1.0 m)) v)
171.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
114.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)
127.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
133.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify660.0ms

Counts

245 → 245

Iterations

Useful iterations: done (650.0ms)

Iter	Nodes	Cost
0	427	8792
1	1198	7193
done	5001	6229

prune443.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	16	26
1	26	24
2	28	24
done	28	24

end0.0ms

sample752.0ms

Algorithm

intervals

Results

290.0ms	13495×	body	80	valid
161.0ms	13495×	pre	80	true