Details

sample218.0ms

Algorithm

intervals

Results

49.0ms	466×	body	80	valid
23.0ms	466×	pre	80	true

simplify3.5s

Counts: 1 → 1

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-l*`
11×	`add-cube-cbrt`
10×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
6×	`sub-neg`
5×	`pow1` `associate-r`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate--l+` `flip--`
3×	`insert-posit16`
2×	`frac-times` `distribute-rgt-out--` `diff-log` `prod-exp` `associate-*r/` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

3 → 75

Calls

3 calls:

Slowest

32.0ms	(- (* (/ m v) (- m (* m m))) m)
20.0ms	(* (/ m v) (- m (* m m)))
9.0ms	(- m (* m m))

series204.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

98.0ms	(* (/ m v) (- m (* m m)))
68.0ms	(- m (* m m))
38.0ms	(- (* (/ m v) (- m (* m m))) m)

simplify1.2s

Counts: 84 → 84

prune622.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`add-cbrt-cube` `add-exp-log`
10×	`associate-l`
9×	`associate-r` `add-cube-cbrt`
7×	`pow1`
4×	`associate-*r/` `difference-of-squares`
3×	`associate-/r*` `times-frac` `flip3--` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--` `add-log-exp`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out--` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

3 → 77

Calls

3 calls:

Slowest

51.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
30.0ms	(* m (- 1 m))
14.0ms	(/ (* m (- 1 m)) v)

series144.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

62.0ms	(* m (- 1 m))
53.0ms	(/ (* m (- 1 m)) v)
29.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify1.2s

Counts: 86 → 86

prune677.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ v (* m (- 1 m))))
0.1b	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
0.1b	(/ v (* m (- 1 m)))
0.0b	(* m (- 1 m))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
48×	`times-frac`
40×	`*-un-lft-identity`
34×	`add-exp-log`
28×	`add-cube-cbrt`
22×	`add-cbrt-cube`
17×	`associate-l`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
9×	`pow1` `associate-r`
8×	`difference-of-squares`
7×	`cbrt-undiv` `flip3--` `div-inv` `flip--`
6×	`prod-exp` `associate-/l*`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`rec-exp` `1-exp` `difference-of-sqr-1` `distribute-lft-out--`
2×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 149

Calls

4 calls:

Slowest

191.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
22.0ms	(/ 1 (/ v (* m (- 1 m))))
15.0ms	(* m (- 1 m))
11.0ms	(/ v (* m (- 1 m)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

74.0ms	(* m (- 1 m))
70.0ms	(/ 1 (/ v (* m (- 1 m))))
50.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
35.0ms	(/ v (* m (- 1 m)))

simplify2.6s

Counts: 161 → 161

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ m v) (+ (sqrt m) m))
0.3b	(* (* (/ m v) (+ (sqrt m) m)) (- (sqrt m) m))
0.0b	(+ (sqrt m) m)
0.0b	(- (sqrt m) m)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
18×	`frac-times` `add-cbrt-cube` `add-exp-log`
15×	`associate-r`
14×	`associate-l`
13×	`add-cube-cbrt`
11×	`pow1`
10×	`times-frac` `associate-*r/`
9×	`flip3-+` `associate-*l/` `flip-+`
8×	`add-log-exp`
7×	`flip3--` `prod-exp` `cbrt-unprod` `flip--`
6×	`sqrt-prod`
4×	`distribute-rgt-out` `distribute-rgt-out--` `pow-prod-down` `insert-posit16` `difference-of-squares`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`cbrt-undiv` `div-exp` `distribute-rgt1-in` `*-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `sum-log` `diff-log` `div-inv`

Counts

4 → 124

Calls

4 calls:

Slowest

95.0ms	(* (* (/ m v) (+ (sqrt m) m)) (- (sqrt m) m))
24.0ms	(* (/ m v) (+ (sqrt m) m))
10.0ms	(+ (sqrt m) m)
7.0ms	(- (sqrt m) m)

series357.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

193.0ms	(* (* (/ m v) (+ (sqrt m) m)) (- (sqrt m) m))
95.0ms	(* (/ m v) (+ (sqrt m) m))
38.0ms	(- (sqrt m) m)
30.0ms	(+ (sqrt m) m)

simplify1.4s

Counts: 136 → 136

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s	14022×	body	80	valid
683.0ms	14022×	pre	80	true