Details

sample417.0ms

Algorithm

intervals

Results

227.0ms	451×	body	80	valid
29.0ms	451×	pre	80	true

simplify416.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

415.0ms

(* (- (/ (* m (- 1 m)) v) 1) m)

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

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

47.0ms	(* (/ m v) (- m (* m m)))
26.0ms	(- (* (/ m v) (- m (* m m))) m)
8.0ms	(- m (* m m))

series216.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

105.0ms	(* (/ m v) (- m (* m m)))
57.0ms	(- m (* m m))
53.0ms	(- (* (/ m v) (- m (* m m))) m)

simplify4.2s

Counts

54 → 84

Calls

54 calls:

Slowest

339.0ms	(* m (- (* m m) (* (* m m) (* m m))))
235.0ms	(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
230.0ms	(* m (- (pow m 3) (pow (* m m) 3)))
227.0ms	(* (/ (* (* m m) m) (* (* v v) v)) (* (* (- m (* m m)) (- m (* m m))) (- m (* m m))))
219.0ms	(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))

prune695.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
10×	`associate-l` `add-cube-cbrt`
9×	`associate-r`
8×	`pow1`
6×	`add-log-exp` `difference-of-squares`
4×	`flip3--` `associate-*r/` `insert-posit16` `flip--`
3×	`associate-/r*` `sub-neg` `times-frac` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `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 → 94

Calls

4 calls:

Slowest

84.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
28.0ms	(- (/ (* m (- 1 m)) v) 1)
17.0ms	(* m (- 1 m))
15.0ms	(/ (* m (- 1 m)) v)

series197.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

60.0ms	(* m (- 1 m))
56.0ms	(/ (* m (- 1 m)) v)
52.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
30.0ms	(- (/ (* m (- 1 m)) v) 1)

simplify5.3s

Counts

66 → 106

Calls

66 calls:

Slowest

432.0ms	(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) m)
399.0ms	(* (* (* (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- (/ (* m (- 1 m)) v) 1)) (* (* m m) m))
232.0ms	(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
226.0ms	(/ (exp (/ (* m (- 1 m)) v)) (exp 1))
222.0ms	(* m (- (pow 1 3) (pow m 3)))

prune855.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (sqrt m) v) (- m (* m m)))
0.2b	(/ (sqrt m) v)
0.2b	(* (sqrt m) (* (/ (sqrt m) v) (- m (* m m))))
0.0b	(- (* (sqrt m) (* (/ (sqrt m) v) (- m (* m m)))) m)

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 152

Calls

4 calls:

Slowest

73.0ms	(- (* (sqrt m) (* (/ (sqrt m) v) (- m (* m m)))) m)
68.0ms	(* (sqrt m) (* (/ (sqrt m) v) (- m (* m m))))
38.0ms	(* (/ (sqrt m) v) (- m (* m m)))
10.0ms	(/ (sqrt m) v)

series445.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

167.0ms	(* (/ (sqrt m) v) (- m (* m m)))
116.0ms	(* (sqrt m) (* (/ (sqrt m) v) (- m (* m m))))
93.0ms	(/ (sqrt m) v)
70.0ms	(- (* (sqrt m) (* (/ (sqrt m) v) (- m (* m m)))) m)

simplify11.3s

Counts

142 → 164

Calls

142 calls:

Slowest

475.0ms	(* (sqrt m) (* (- (* m m)) (/ (sqrt m) v)))
458.0ms	(* (* (- (* m m)) (/ (sqrt m) v)) (sqrt m))
443.0ms	(* (sqrt m) (* (- (* m m)) (/ (sqrt m) v)))
439.0ms	(* (* (/ (sqrt m) v) (- (* m m))) (sqrt m))
433.0ms	(* (* (- (* m m)) (/ (sqrt m) v)) (sqrt m))

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

122×	`times-frac`
86×	`add-sqr-sqrt`
76×	`*-un-lft-identity`
59×	`add-cube-cbrt`
20×	`difference-of-squares`
15×	`distribute-rgt-out--`
13×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv` `add-log-exp`
5×	`associate-/l*`
3×	`pow1` `cbrt-undiv` `unpow-prod-down` `flip3--` `div-exp` `insert-posit16` `flip--`
2×	`sub-neg` `diff-log` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `associate-/r/` `distribute-lft-out--` `sqr-pow`

Counts

3 → 136

Calls

3 calls:

Slowest

91.0ms	(- (pow (/ (- m (* m m)) (/ v m)) 1) m)
13.0ms	(/ (- m (* m m)) (/ v m))
5.0ms	(- m (* m m))

series156.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

67.0ms	(/ (- m (* m m)) (/ v m))
60.0ms	(- m (* m m))
29.0ms	(- (pow (/ (- m (* m m)) (/ v m)) 1) m)

simplify15.5s

Counts

178 → 145

Calls

178 calls:

Slowest

685.0ms	(/ (* (* (- m (* m m)) (- m (* m m))) (- m (* m m))) (* (* (/ v m) (/ v m)) (/ v m)))
480.0ms	(/ (cbrt (- m (* m m))) (/ (sqrt v) (cbrt m)))
453.0ms	(+ (pow (sqrt (/ (- m (* m m)) (/ v m))) 1) (sqrt m))
451.0ms	(+ (pow (/ (sqrt (- m (* m m))) (/ (sqrt v) (sqrt m))) 1) (sqrt m))
412.0ms	(+ (pow (/ (- m (* m m)) (/ v m)) (/ 1 2)) (sqrt m))

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.5s	13724×	body	80	valid
683.0ms	13724×	pre	80	true