Details

sample281.0ms

Algorithm

intervals

Results

11.0ms	461×	body	80	valid
7.0ms	461×	pre	80	true

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	106	13
4	305	13
5	863	13
6	2466	13
done	5000	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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))

rewrite109.0ms

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-exp-log` `add-cbrt-cube`
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×	`prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 169

Calls

4 calls:

16.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
12.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
60.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series159.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
50.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify918.0ms

Counts

181 → 181

Iterations

Useful iterations: done (912.0ms)

Iter	Nodes	Cost
0	265	3570
1	567	2895
2	1860	2511
done	5001	2446

prune278.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
75×	`add-cube-cbrt`
66×	`prod-diff`
62×	`times-frac`
17×	`distribute-rgt-out`
16×	`fma-neg`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`flip3--` `flip--`
6×	`pow1` `distribute-lft-neg-out` `associate-l`
5×	`associate-r` `div-inv` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `div-sub` `log1p-expm1-u` `associate-/l*`
3×	`sub-neg` `unsub-neg` `associate-/r*` `distribute-lft-out--`
2×	`associate--l-` `flip3-+` `associate-r/` `associate-l/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `fma-def` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 192

Calls

4 calls:

30.0ms	(- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0)
3.0ms	(+ (* 1.0 m) (* (- m) m))
9.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
84.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))

series163.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0)
55.0ms	(+ (* 1.0 m) (* (- m) m))
48.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
35.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))

simplify1.0s

Counts

204 → 204

Iterations

Useful iterations: done (990.0ms)

Iter	Nodes	Cost
0	289	5060
1	633	3558
2	2194	3159
done	5001	3075

prune329.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite188.0ms

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:

11.0ms	(* m (- 1.0 m))
92.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
12.0ms	(/ (* m (- 1.0 m)) v)
61.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
135.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
36.0ms	(/ (* m (- 1.0 m)) v)
140.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify796.0ms

Counts

245 → 245

Iterations

Useful iterations: done (783.0ms)

Iter	Nodes	Cost
0	427	8792
1	1221	7193
done	5002	6874

prune476.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (pow (sqrt 1.0) 3) (pow (sqrt m) 3)))
0.5b	(pow (sqrt m) 3)
0.5b	(pow (sqrt m) 3)
4.2b	(/ (* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (pow (sqrt 1.0) 3) (pow (sqrt m) 3))) (- (pow (sqrt 1.0) 3) (pow (sqrt m) 3))) (* (+ (+ 1.0 m) (* (sqrt 1.0) (sqrt m))) (+ (- m (* (sqrt 1.0) (sqrt m))) 1.0)))

rewrite465.0ms

Algorithm

rewrite-expression-head

Rules

36×	`frac-times` `*-un-lft-identity`
29×	`add-exp-log` `add-cbrt-cube`
26×	`associate-/l/`
21×	`flip3--` `flip--`
20×	`add-sqr-sqrt` `unpow-prod-down` `cube-prod` `sqrt-prod`
18×	`flip3-+` `associate-*l/` `flip-+`
16×	`add-cube-cbrt`
13×	`associate-r`
12×	`associate-*r/`
10×	`pow1` `prod-exp` `cbrt-unprod`
9×	`distribute-lft-out`
8×	`associate-/r/`
6×	`cbrt-undiv` `pow-unpow` `pow-pow` `div-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `pow-to-exp` `sqrt-pow1` `pow1/2` `unpow3` `pow-exp` `sqrt-pow2` `rem-cube-cbrt` `sqr-pow`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `sum-cubes` `-commutative` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 171

Calls

4 calls:

137.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (pow (sqrt 1.0) 3) (pow (sqrt m) 3)))
4.0ms	(pow (sqrt m) 3)
2.0ms	(pow (sqrt m) 3)
316.0ms	(/ (* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (pow (sqrt 1.0) 3) (pow (sqrt m) 3))) (- (pow (sqrt 1.0) 3) (pow (sqrt m) 3))) (* (+ (+ 1.0 m) (* (sqrt 1.0) (sqrt m))) (+ (- m (* (sqrt 1.0) (sqrt m))) 1.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (pow (sqrt 1.0) 3) (pow (sqrt m) 3)))
42.0ms	(pow (sqrt m) 3)
48.0ms	(pow (sqrt m) 3)
967.0ms	(/ (* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (pow (sqrt 1.0) 3) (pow (sqrt m) 3))) (- (pow (sqrt 1.0) 3) (pow (sqrt m) 3))) (* (+ (+ 1.0 m) (* (sqrt 1.0) (sqrt m))) (+ (- m (* (sqrt 1.0) (sqrt m))) 1.0)))

simplify511.0ms

Counts

183 → 183

Iterations

Useful iterations: done (505.0ms)

Iter	Nodes	Cost
0	379	6145
1	1441	4719
done	5002	4505

prune678.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	17	16
done	17	16

end0.0ms

sample689.0ms

Algorithm

intervals

Results

299.0ms	13714×	body	80	valid
175.0ms	13714×	pre	80	true