Details

sample84.0ms

Algorithm

intervals

Results

16.0ms	476×	body	80	valid
8.0ms	476×	pre	80	true

simplify104.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

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) m)

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
8×	`pow1` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`flip3--` `associate-*r/` `flip--`
3×	`sub-neg` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `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 → 85

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
22.0ms	(* m (- 1.0 m))
18.0ms	(/ (* m (- 1.0 m)) v)
83.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series171.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
49.0ms	(* m (- 1.0 m))
45.0ms	(/ (* m (- 1.0 m)) v)
48.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify43.0ms

Counts: 97 → 97

prune184.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
0.3b	(/ (- 1.0 m) (sqrt v))
0.3b	(/ m (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
37×	`associate-r`
25×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`unswap-sqr`
8×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 200

Calls

4 calls:

83.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
18.0ms	(/ (- 1.0 m) (sqrt v))
7.0ms	(/ m (sqrt v))
59.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
43.0ms	(/ (- 1.0 m) (sqrt v))
50.0ms	(/ m (sqrt v))
51.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify82.0ms

Counts: 212 → 212

prune472.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize12.0ms

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) m)
10.8b	(/ (pow m 2) v)

rewrite551.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
25×	`times-frac`
23×	`add-cube-cbrt`
12×	`unpow-prod-down`
11×	`add-exp-log` `add-log-exp`
8×	`add-cbrt-cube` `associate-/l*`
6×	`pow1`
5×	`associate-l` `unpow2`
4×	`diff-log` `sqr-pow`
3×	`sub-neg` `flip3--` `div-exp` `associate-r` `associate-/r*` `flip--`
2×	`associate-r/` `associate-l/` `associate--l+` `distribute-lft-out--` `difference-of-squares`
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 → 104

Calls

4 calls:

137.0ms	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
18.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
383.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
9.0ms	(/ (pow m 2) v)

series125.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
40.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
39.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
21.0ms	(/ (pow m 2) v)

simplify43.0ms

Counts: 116 → 116

prune262.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt v) m)
0.3b	(/ (- 1.0 m) (sqrt v))
0.3b	(/ 1 (/ (sqrt v) m))
0.4b	(* (/ 1 (/ (sqrt v) m)) (/ (- 1.0 m) (sqrt v)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

380×	`times-frac`
295×	`add-sqr-sqrt`
227×	`*-un-lft-identity`
192×	`add-cube-cbrt`
121×	`sqrt-prod`
71×	`associate-l`
64×	`add-exp-log`
34×	`associate-r` `add-cbrt-cube`
31×	`associate-/r*`
30×	`div-exp`
21×	`unswap-sqr`
14×	`cbrt-undiv` `prod-exp` `associate-/l*`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`div-inv`
7×	`pow1`
6×	`rec-exp` `1-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/r/` `associate-/l/`
1×	`frac-times` `flip3--` `pow-flip` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `inv-pow`

Counts

4 → 365

Calls

4 calls:

7.0ms	(/ (sqrt v) m)
18.0ms	(/ (- 1.0 m) (sqrt v))
13.0ms	(/ 1 (/ (sqrt v) m))
99.0ms	(* (/ 1 (/ (sqrt v) m)) (/ (- 1.0 m) (sqrt v)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ (sqrt v) m)
43.0ms	(/ (- 1.0 m) (sqrt v))
59.0ms	(/ 1 (/ (sqrt v) m))
53.0ms	(* (/ 1 (/ (sqrt v) m)) (/ (- 1.0 m) (sqrt v)))

simplify53.0ms

Counts: 377 → 377

prune807.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

955.0ms	13828×	body	80	valid
227.0ms	13828×	pre	80	true