Details

sample137.0ms

Algorithm

intervals

Results

30.0ms	446×	body	80	valid
14.0ms	446×	pre	80	true

simplify3.1s

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

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))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-cbrt-cube` `associate-r` `add-exp-log`
10×	`associate-l`
8×	`flip3--` `flip--`
7×	`pow1`
6×	`associate-*r/` `difference-of-squares`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `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 → 132

Calls

3 calls:

Slowest

85.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
31.0ms	(/ (* m (- 1 m)) v)
29.0ms	(* m (- 1 m))

series178.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

81.0ms	(* m (- 1 m))
58.0ms	(/ (* m (- 1 m)) v)
39.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify655.0ms

Counts: 141 → 141

prune1.4s

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))

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

171×	`times-frac`
167×	`add-sqr-sqrt`
149×	`*-un-lft-identity`
93×	`add-cube-cbrt`
40×	`difference-of-squares`
30×	`associate-/r*`
18×	`prod-diff` `distribute-lft-out--`
13×	`associate-l`
12×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-/r/` `flip--`
6×	`associate-r` `div-inv` `associate-/l*`
5×	`pow1`
4×	`frac-times` `cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `difference-of-sqr-1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `sub-neg` `frac-2neg` `associate-l/` `associate-r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 225

Calls

3 calls:

Slowest

271.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
11.0ms	(/ m (/ v (- 1 m)))
8.0ms	(/ v (- 1 m))

series116.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

44.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
43.0ms	(/ m (/ v (- 1 m)))
28.0ms	(/ v (- 1 m))

simplify1.2s

Counts: 234 → 234

prune2.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite452.0ms

Algorithm

rewrite-expression-head

Rules

297×	`times-frac`
233×	`add-sqr-sqrt`
215×	`*-un-lft-identity`
138×	`add-cube-cbrt`
54×	`difference-of-squares`
48×	`associate-/r*`
25×	`distribute-lft-out--`
18×	`associate-/r/`
16×	`add-cbrt-cube` `add-exp-log`
13×	`flip3--` `associate-l` `flip--`
10×	`associate-r` `associate-*l/` `div-inv`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `difference-of-sqr-1` `distribute-rgt-neg-out`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `neg-mul-1` `sum-log` `fma-def` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 297

Calls

4 calls:

Slowest

239.0ms	(+ (* (- (/ m (/ v (- 1 m))) 1) 1) (* (- (/ m (/ v (- 1 m))) 1) (- m)))
169.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- m))
21.0ms	(/ m (/ v (- 1 m)))
10.0ms	(/ m (/ v (- 1 m)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

57.0ms	(+ (* (- (/ m (/ v (- 1 m))) 1) 1) (* (- (/ m (/ v (- 1 m))) 1) (- m)))
53.0ms	(/ m (/ v (- 1 m)))
49.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- m))
47.0ms	(/ m (/ v (- 1 m)))

simplify1.8s

Counts: 309 → 309

prune4.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

11.2b	(/ (* m m) v)
8.2b	(/ (* m (* m m)) v)
0.1b	(* m (* m m))
0.1b	(/ m (/ v (- 1 m)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
111×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
74×	`add-cube-cbrt`
30×	`associate-/r*`
28×	`add-cbrt-cube` `add-exp-log`
24×	`difference-of-squares`
18×	`pow1`
12×	`distribute-lft-out--`
9×	`associate-/r/`
8×	`cbrt-undiv` `div-exp`
7×	`prod-exp` `cbrt-unprod` `div-inv`
5×	`pow-prod-up` `associate-/l*`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `pow-prod-down`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

4 → 194

Calls

4 calls:

Slowest

35.0ms	(/ (* m (* m m)) v)
14.0ms	(* m (* m m))
10.0ms	(/ m (/ v (- 1 m)))
9.0ms	(/ (* m m) v)

series197.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

64.0ms	(/ m (/ v (- 1 m)))
50.0ms	(/ (* m (* m m)) v)
46.0ms	(* m (* m m))
37.0ms	(/ (* m m) v)

simplify1.0s

Counts: 206 → 206

prune2.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.1b remaining)

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

bsearch5.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.5s	13770×	body	80	valid
584.0ms	13770×	pre	80	true