Details

sample132.0ms

Algorithm

intervals

Results

27.0ms	446×	body	80	valid
13.0ms	446×	pre	80	true

simplify964.0ms

Counts: 1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 90

Calls

3 calls:

Slowest

88.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
27.0ms	(/ (* m (- 1 m)) v)
17.0ms	(* m (- 1 m))

series166.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

67.0ms	(* m (- 1 m))
54.0ms	(/ (* m (- 1 m)) v)
44.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify2.5s

Counts: 99 → 99

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

171×	`times-frac`
155×	`add-sqr-sqrt`
137×	`*-un-lft-identity`
81×	`add-cube-cbrt`
40×	`difference-of-squares`
30×	`associate-/r*`
18×	`distribute-lft-out--`
13×	`associate-l`
12×	`add-cbrt-cube` `add-exp-log`
11×	`flip3--` `associate-/r/` `flip--`
6×	`associate-r` `div-inv` `associate-/l*`
5×	`pow1`
4×	`frac-times` `cbrt-undiv` `div-exp`
3×	`difference-of-sqr-1` `insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 201

Calls

3 calls:

Slowest

215.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
11.0ms	(/ m (/ v (- 1 m)))
10.0ms	(/ v (- 1 m))

series133.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

52.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
44.0ms	(/ m (/ v (- 1 m)))
37.0ms	(/ v (- 1 m))

simplify1.1s

Counts: 210 → 210

prune2.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

Slowest

98.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- m))
62.0ms	(+ (* (- (/ (* m (- 1 m)) v) 1) 1) (* (- (/ (* m (- 1 m)) v) 1) (- m)))
18.0ms	(/ (* m (- 1 m)) v)
16.0ms	(/ (* m (- 1 m)) v)

series220.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

62.0ms	(/ (* m (- 1 m)) v)
55.0ms	(+ (* (- (/ (* m (- 1 m)) v) 1) 1) (* (- (/ (* m (- 1 m)) v) 1) (- m)))
54.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- m))
49.0ms	(/ (* m (- 1 m)) v)

simplify692.0ms

Counts: 112 → 112

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (- (/ (* m (- 1 m)) v) 1) (- (sqrt m))) (sqrt m))
0.3b	(* (- (/ (* m (- 1 m)) v) 1) (- (sqrt m)))
0.1b	(/ (* m (- 1 m)) v)
0.1b	(/ (* m (- 1 m)) v)

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

Slowest

94.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (- (sqrt m))) (sqrt m))
68.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- (sqrt m)))
20.0ms	(/ (* m (- 1 m)) v)
14.0ms	(/ (* m (- 1 m)) v)

series254.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

93.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- (sqrt m)))
72.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (- (sqrt m))) (sqrt m))
46.0ms	(/ (* m (- 1 m)) v)
44.0ms	(/ (* m (- 1 m)) v)

simplify3.2s

Counts: 124 → 124

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.1b remaining)

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

bsearch13.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s	13770×	body	80	valid
686.0ms	13770×	pre	80	true