Details

sample327.0ms

Algorithm

intervals

Results

9.0ms	387×	body	80	valid
5.0ms	387×	pre	80	true

simplify86.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	112	6
3	393	6
4	1344	6
5	4072	6
6	5001	6
done	5001	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

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)
0.0b	(* (- (/ (* 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:

28.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
24.0ms	(* m (- 1.0 m))
21.0ms	(/ (* m (- 1.0 m)) v)
105.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series168.0ms

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)
52.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify90.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	583	1692
1	2840	1209
2	5002	1196
done	5002	1196

prune266.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt` `prod-diff`
37×	`*-un-lft-identity`
31×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*r/`
14×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-/r/`
9×	`flip3--` `associate-r` `flip--`
8×	`pow1` `associate-l`
7×	`fma-neg`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`sub-neg` `flip3-+` `times-frac` `flip-+` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `log1p-expm1-u` `difference-of-squares`
3×	`distribute-lft-out--`
2×	`pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/r` `associate-/l`

Counts

4 → 154

Calls

4 calls:

47.0ms	(- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0)
143.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
31.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
28.0ms	(* m (- (* 1.0 1.0) (* m m)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0)
65.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
72.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
75.0ms	(* m (- (* 1.0 1.0) (* m m)))

simplify136.0ms

Counts

166 → 166

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	733	2289
1	4268	1815
2	5001	1813
done	5001	1813

prune331.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
0.0b	(/ (* m (- 1.0 m)) v)
0.0b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

45.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
21.0ms	(/ (* m (- 1.0 m)) v)
21.0ms	(/ (* m (- 1.0 m)) v)
87.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series163.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
39.0ms	(/ (* m (- 1.0 m)) v)
38.0ms	(/ (* m (- 1.0 m)) v)
41.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify70.0ms

Counts

115 → 115

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	529	1005
1	2584	882
2	5001	862
done	5001	862

prune278.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- 1.0 m)) v)
0.0b	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (fma m 1.0 (- (/ (pow m 3) v) (* 1.0 (/ (pow m 2) v)))))
8.4b	(/ (pow m 3) v)
13.9b	(/ (pow m 2) v)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

63×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
21×	`associate-/l*`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`cube-prod`
9×	`associate-/r*`
8×	`div-exp` `sqr-pow`
6×	`add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `cube-mult` `unpow3` `log1p-expm1-u` `unpow2`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`pow-to-exp` `associate-*r/` `pow-exp` `associate-/l/`
1×	`+-commutative` `associate-+r+` `flip3--` `fma-def` `flip3-+` `prod-exp` `sum-log` `flip--` `cbrt-unprod` `flip-+` `fma-udef`

Counts

4 → 158

Calls

4 calls:

22.0ms	(/ (* m (- 1.0 m)) v)
34.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (fma m 1.0 (- (/ (pow m 3) v) (* 1.0 (/ (pow m 2) v)))))
10.0ms	(/ (pow m 3) v)
11.0ms	(/ (pow m 2) v)

series136.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (* m (- 1.0 m)) v)
54.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (fma m 1.0 (- (/ (pow m 3) v) (* 1.0 (/ (pow m 2) v)))))
22.0ms	(/ (pow m 3) v)
20.0ms	(/ (pow m 2) v)

simplify80.0ms

Counts

170 → 170

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	554	991
1	2766	883
2	5001	870
done	5001	870

prune450.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes55.0ms

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	10
1	17	10
done	17	10

end0.0ms

sample771.0ms

Algorithm

intervals

Results

305.0ms	13701×	body	80	valid
164.0ms	13701×	pre	80	true