Details

sample162.0ms

Algorithm

intervals

Results

40.0ms	427×	body	80	valid
19.0ms	427×	pre	80	true

simplify3.3s

Counts: 1 → 1

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
7×	`pow1`
4×	`associate-*r/` `difference-of-squares`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `flip3--` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `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 → 101

Calls

3 calls:

Slowest

67.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
26.0ms	(/ (* m (- 1 m)) v)
19.0ms	(* m (- 1 m))

series170.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

68.0ms	(* m (- 1 m))
55.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
46.0ms	(/ (* m (- 1 m)) v)

simplify1.3s

Counts: 110 → 110

prune883.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 194

Calls

3 calls:

Slowest

170.0ms	(* (- (/ m (/ v (- 1 m))) 1) m)
15.0ms	(/ m (/ v (- 1 m)))
8.0ms	(/ v (- 1 m))

series140.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

62.0ms	(/ m (/ v (- 1 m)))
39.0ms	(/ v (- 1 m))
38.0ms	(* (- (/ m (/ v (- 1 m))) 1) m)

simplify962.0ms

Counts: 203 → 203

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

2.2b	(/ (* m m) (/ v m))
0.2b	(/ m (/ v m))
0.1b	(- (/ m (/ v m)) (+ m (/ (* m m) (/ v m))))
0.0b	(+ m (/ (* m m) (/ v m)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

571×	`times-frac`
491×	`*-un-lft-identity`
359×	`add-sqr-sqrt`
350×	`add-cube-cbrt`
264×	`prod-diff`
102×	`associate-/r/`
46×	`distribute-rgt-out` `distribute-rgt1-in` `distribute-lft-out`
44×	`fma-neg`
37×	`div-inv`
26×	`associate-/r*`
21×	`add-cbrt-cube` `add-exp-log`
11×	`add-log-exp`
9×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`fma-def` `distribute-lft-out--` `difference-of-squares`
2×	`clear-num` `sum-log` `frac-2neg` `flip3-+` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `flip-+`
1×	`+-commutative` `sub-neg` `flip3--` `distribute-rgt-out--` `flip--` `associate--r+`

Counts

4 → 476

Calls

4 calls:

Slowest

53.0ms	(- (/ m (/ v m)) (+ m (/ (* m m) (/ v m))))
22.0ms	(/ (* m m) (/ v m))
16.0ms	(+ m (/ (* m m) (/ v m)))
11.0ms	(/ m (/ v m))

series150.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

49.0ms	(- (/ m (/ v m)) (+ m (/ (* m m) (/ v m))))
42.0ms	(/ (* m m) (/ v m))
31.0ms	(+ m (/ (* m m) (/ v m)))
29.0ms	(/ m (/ v m))

simplify1.9s

Counts: 488 → 488

prune5.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `sqrt-prod`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

3 → 62

Calls

3 calls:

Slowest

26.0ms	(* (* (sqrt m) (fma (/ m v) (- 1 m) -1)) (sqrt m))
15.0ms	(* (sqrt m) (fma (/ m v) (- 1 m) -1))
0.0ms	(fma (/ m v) (- 1 m) -1)

series188.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

92.0ms	(* (sqrt m) (fma (/ m v) (- 1 m) -1))
65.0ms	(* (* (sqrt m) (fma (/ m v) (- 1 m) -1)) (sqrt m))
31.0ms	(fma (/ m v) (- 1 m) -1)

simplify960.0ms

Counts: 71 → 71

prune645.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.2b remaining)

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

bsearch1.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.7s	13616×	body	80	valid
542.0ms	13616×	pre	80	true