Details

sample188.0ms

Algorithm

intervals

Results

74.0ms	438×	body	80	valid
23.0ms	438×	pre	80	true

simplify1.1s

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

Slowest

85.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
22.0ms	(* m (- 1 m))
18.0ms	(/ (* m (- 1 m)) v)
13.0ms	(- (/ (* m (- 1 m)) v) 1)

series225.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

77.0ms	(* m (- 1 m))
69.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
60.0ms	(/ (* m (- 1 m)) v)
19.0ms	(- (/ (* m (- 1 m)) v) 1)

simplify2.1s

Counts: 119 → 119

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

Slowest

81.0ms	(* (- m) (- (/ (* m (- 1 m)) v) 1))
77.0ms	(+ (- (/ (* m (- 1 m)) v) 1) (* (- m) (- (/ (* m (- 1 m)) v) 1)))
15.0ms	(/ (* m (- 1 m)) v)
13.0ms	(/ (* m (- 1 m)) v)

series229.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

62.0ms	(/ (* m (- 1 m)) v)
60.0ms	(/ (* m (- 1 m)) v)
55.0ms	(+ (- (/ (* m (- 1 m)) v) 1) (* (- m) (- (/ (* m (- 1 m)) v) 1)))
53.0ms	(* (- m) (- (/ (* m (- 1 m)) v) 1))

simplify720.0ms

Counts: 126 → 126

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt m) (* (- (sqrt m)) (- (/ (* m (- 1 m)) v) 1)))
0.2b	(* (- (sqrt m)) (- (/ (* m (- 1 m)) v) 1))
0.0b	(/ (* m (- 1 m)) v)
0.0b	(/ (* m (- 1 m)) v)

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `associate-l`
21×	`add-cbrt-cube` `add-exp-log`
19×	`*-un-lft-identity`
16×	`add-cube-cbrt`
11×	`pow1`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
9×	`sqrt-prod`
8×	`associate-r`
6×	`distribute-lft-neg-in` `associate-/r*` `sub-neg` `distribute-rgt-neg-in` `times-frac` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `insert-posit16` `flip--` `add-log-exp` `associate-/l/`
2×	`distribute-lft-neg-out` `clear-num` `frac-2neg` `-commutative` `div-inv` `associate-/l` `difference-of-squares`
1×	`neg-mul-1` `difference-of-sqr-1` `distribute-rgt-neg-out` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

Slowest

82.0ms	(* (sqrt m) (* (- (sqrt m)) (- (/ (* m (- 1 m)) v) 1)))
55.0ms	(* (- (sqrt m)) (- (/ (* m (- 1 m)) v) 1))
12.0ms	(/ (* m (- 1 m)) v)
12.0ms	(/ (* m (- 1 m)) v)

series268.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

113.0ms	(* (- (sqrt m)) (- (/ (* m (- 1 m)) v) 1))
66.0ms	(* (sqrt m) (* (- (sqrt m)) (- (/ (* m (- 1 m)) v) 1)))
45.0ms	(/ (* m (- 1 m)) v)
43.0ms	(/ (* m (- 1 m)) v)

simplify2.7s

Counts: 136 → 136

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

13.8b	(/ v (* m m))
0.2b	(* (/ m v) m)
0.1b	(/ m (/ v (* m m)))
0.0b	(/ (* m (- 1 m)) v)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

49×	`times-frac`
37×	`add-sqr-sqrt`
32×	`*-un-lft-identity` `add-cube-cbrt`
28×	`add-cbrt-cube` `add-exp-log`
13×	`associate-l`
11×	`associate-/r*`
10×	`cbrt-undiv` `div-exp`
8×	`div-inv`
7×	`associate-/l*`
6×	`pow1`
5×	`prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r`
2×	`associate-*r/` `unswap-sqr` `associate-/l/`
1×	`flip3--` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `flip--`

Counts

4 → 128

Calls

4 calls:

Slowest

18.0ms	(* (/ m v) m)
17.0ms	(/ m (/ v (* m m)))
14.0ms	(/ (* m (- 1 m)) v)
14.0ms	(/ v (* m m))

series122.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

47.0ms	(/ (* m (- 1 m)) v)
27.0ms	(/ v (* m m))
24.0ms	(* (/ m v) m)
24.0ms	(/ m (/ v (* m m)))

simplify2.6s

Counts: 140 → 140

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s	13674×	body	80	valid
574.0ms	13674×	pre	80	true