Details

sample328.0ms

Algorithm

intervals

Results

10.0ms	387×	body	80	valid
6.0ms	387×	pre	80	true

simplify77.0ms

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

rewrite151.0ms

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)
23.0ms	(* m (- 1.0 m))
16.0ms	(/ (* m (- 1.0 m)) v)
88.0ms	(* (- (/ (* 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)
47.0ms	(* m (- 1.0 m))
44.0ms	(/ (* m (- 1.0 m)) v)
47.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify61.0ms

Counts

109 → 109

Iterations

Useful iterations: 2 (50.0ms)

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

prune202.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

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)))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

41.0ms	(- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0)
139.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
29.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
27.0ms	(* 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)
66.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
73.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
74.0ms	(* m (- (* 1.0 1.0) (* m m)))

simplify89.0ms

Counts

110 → 110

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	553	1232
1	3233	1087
2	5001	1087
done	5001	1087

prune235.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

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))

rewrite150.0ms

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` `associate-*r/` `div-exp` `frac-add` `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` `flip3-+` `unsub-neg` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

43.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
15.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(/ (* m (- 1.0 m)) v)
73.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series159.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
37.0ms	(/ (* m (- 1.0 m)) v)
40.0ms	(/ (* m (- 1.0 m)) v)
38.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify65.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	506	961
1	2456	840
2	5003	827
done	5003	827

prune240.0ms

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

rewrite221.0ms

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*` `add-log-exp`
8×	`div-exp` `sqr-pow`
4×	`pow1` `cbrt-undiv` `cube-mult` `unpow3` `associate-*r/` `unpow2`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`pow-to-exp` `flip3--` `diff-log` `pow-exp` `frac-sub` `flip--` `associate-/l/`
1×	`sub-neg` `flip3-+` `prod-exp` `associate--l+` `sum-log` `cbrt-unprod` `flip-+`

Counts

4 → 153

Calls

4 calls:

181.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
16.0ms	(/ (* m (- 1.0 m)) v)
9.0ms	(/ (pow m 3) v)
9.0ms	(/ (pow m 2) v)

series120.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
38.0ms	(/ (* m (- 1.0 m)) v)
22.0ms	(/ (pow m 3) v)
23.0ms	(/ (pow m 2) v)

simplify90.0ms

Counts

165 → 165

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	573	933
1	2993	841
2	5001	826
done	5001	826

prune401.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes51.0ms

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

sample789.0ms

Algorithm

intervals

Results

323.0ms	13701×	body	80	valid
174.0ms	13701×	pre	80	true