Details

sample343.0ms

Algorithm

intervals

Results

10.0ms	440×	body	80	valid
6.0ms	440×	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 4 expressions with local error:

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

rewrite185.0ms

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:

30.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
22.0ms	(* m (- 1.0 m))
23.0ms	(/ (* m (- 1.0 m)) v)
101.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series162.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
51.0ms	(* m (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)
47.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.0s

Counts

181 → 181

Iterations

Useful iterations: done (997.0ms)

Iter	Nodes	Cost
0	265	3570
1	579	2895
2	1783	2511
done	5001	2405

prune265.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

119×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
97×	`add-cube-cbrt`
93×	`prod-diff`
79×	`times-frac`
22×	`distribute-rgt-in` `distribute-lft-in`
19×	`fma-neg`
18×	`sqr-pow`
16×	`add-exp-log` `unpow-prod-down`
10×	`associate-r` `associate-l` `add-cbrt-cube`
8×	`pow1` `flip3--` `flip--` `difference-of-squares`
6×	`add-log-exp`
5×	`sub-neg` `div-inv` `associate-/l*`
4×	`expm1-log1p-u` `frac-times` `associate-*r/` `div-exp` `log1p-expm1-u` `distribute-lft-out--`
3×	`prod-exp` `associate-/r*`
2×	`pow-prod-down` `associate-l/` `pow-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `diff-log` `clear-num`

Counts

4 → 236

Calls

4 calls:

32.0ms	(- (/ (pow (* m (- 1.0 m)) 1) v) 1.0)
23.0ms	(* m (- 1.0 m))
10.0ms	(/ (pow (* m (- 1.0 m)) 1) v)
95.0ms	(* (- (/ (pow (* m (- 1.0 m)) 1) v) 1.0) (- 1.0 m))

series148.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (pow (* m (- 1.0 m)) 1) v) 1.0)
46.0ms	(* m (- 1.0 m))
41.0ms	(/ (pow (* m (- 1.0 m)) 1) v)
38.0ms	(* (- (/ (pow (* m (- 1.0 m)) 1) v) 1.0) (- 1.0 m))

simplify1.0s

Counts

248 → 248

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	341	5868
1	694	4250
2	2033	3620
done	5000	3422

prune395.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
123×	`add-sqr-sqrt` `*-un-lft-identity`
87×	`add-cube-cbrt`
26×	`associate-/r*`
21×	`prod-diff`
19×	`distribute-lft-out--`
17×	`difference-of-squares`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `associate-l` `log1p-expm1-u`
3×	`sub-neg`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 215

Calls

4 calls:

22.0ms	(- (* 1 (/ m (/ v (- 1.0 m)))) 1.0)
11.0ms	(/ v (- 1.0 m))
18.0ms	(/ m (/ v (- 1.0 m)))
92.0ms	(* (- (* 1 (/ m (/ v (- 1.0 m)))) 1.0) (- 1.0 m))

series144.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (* 1 (/ m (/ v (- 1.0 m)))) 1.0)
35.0ms	(/ v (- 1.0 m))
38.0ms	(/ m (/ v (- 1.0 m)))
43.0ms	(* (- (* 1 (/ m (/ v (- 1.0 m)))) 1.0) (- 1.0 m))

simplify1.5s

Counts

227 → 227

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	367	4290
1	798	3645
2	2766	3407
done	5001	3397

prune469.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite333.0ms

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))
21.0ms	(/ (* m (- 1.0 m)) v)
163.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
112.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
142.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
140.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify657.0ms

Counts

245 → 245

Iterations

Useful iterations: done (642.0ms)

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

prune441.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes62.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	10	15
1	14	13
done	14	13

end0.0ms

sample749.0ms

Algorithm

intervals

Results

301.0ms	13729×	body	80	valid
160.0ms	13729×	pre	80	true