Details

sample334.0ms

Algorithm

intervals

Results

10.0ms	423×	body	80	valid
6.0ms	423×	pre	80	true

simplify78.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	105	6
3	354	6
4	1102	6
5	3189	6
6	5002	6
done	5002	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

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

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `distribute-lft-out--` `difference-of-squares`
3×	`times-frac` `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` `div-inv` `associate-/l*`

Counts

4 → 97

Calls

4 calls:

20.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
22.0ms	(* m (- 1.0 m))
89.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
19.0ms	(/ (* m (- 1.0 m)) v)

series161.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
46.0ms	(* m (- 1.0 m))
43.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
48.0ms	(/ (* m (- 1.0 m)) v)

simplify59.0ms

Counts

109 → 109

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	400	725
1	1959	665
2	5002	653
done	5002	653

prune199.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite412.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
128×	`add-sqr-sqrt`
112×	`*-un-lft-identity`
74×	`add-cube-cbrt`
26×	`associate-/r*`
23×	`difference-of-squares`
19×	`distribute-lft-out--`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3--` `flip--`
11×	`associate-/r/`
7×	`associate-l`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`sub-neg`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 191

Calls

4 calls:

92.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
11.0ms	(/ v (- 1.0 m))
16.0ms	(/ m (/ v (- 1.0 m)))
283.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series138.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify88.0ms

Counts

203 → 203

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	699	1623
1	3448	1558
2	5001	1557
done	5001	1557

prune429.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.1b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
11.8b	(/ (pow m 2) v)

rewrite534.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
25×	`times-frac`
23×	`add-cube-cbrt`
12×	`unpow-prod-down`
11×	`add-exp-log` `add-log-exp`
8×	`flip3--` `add-cbrt-cube` `flip--` `associate-/l*`
6×	`pow1`
5×	`sub-neg` `associate-r` `associate-l` `unpow2`
4×	`frac-times` `diff-log` `associate-*r/` `sqr-pow`
3×	`div-exp` `associate-/r*` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `associate--l+`
1×	`cbrt-undiv` `associate--l-` `pow-to-exp` `distribute-rgt-out--` `frac-2neg` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `div-inv` `sub-div` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

129.0ms	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
17.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
375.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
9.0ms	(/ (pow m 2) v)

series119.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
34.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
40.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
20.0ms	(/ (pow m 2) v)

simplify60.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	449	1032
1	1999	957
2	5001	954
done	5001	954

prune283.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

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)))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times`
27×	`add-sqr-sqrt`
23×	`flip3--` `*-un-lft-identity` `flip--`
19×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
14×	`associate-*r/`
13×	`pow1`
12×	`flip3-+` `flip-+`
11×	`add-cube-cbrt`
9×	`associate-l`
8×	`sqrt-prod`
6×	`prod-exp` `cbrt-unprod` `difference-of-squares`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down`
4×	`sub-neg` `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 → 135

Calls

4 calls:

20.0ms	(* m (- 1.0 m))
16.0ms	(/ (* m (- 1.0 m)) v)
137.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
97.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
42.0ms	(/ (* m (- 1.0 m)) v)
132.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
138.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify37.0ms

Counts

147 → 147

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	855	1758
1	5002	1540
done	5002	1540

prune374.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	12
1	17	12
done	17	12

end0.0ms

sample773.0ms

Algorithm

intervals

Results

298.0ms	13778×	body	80	valid
168.0ms	13778×	pre	80	true