Details

sample197.0ms

Algorithm

intervals

Results

49.0ms	452×	body	80	valid
24.0ms	452×	pre	80	true

simplify1.6s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite128.0ms

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

88.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
21.0ms	(/ (* m (- 1 m)) v)
16.0ms	(* m (- 1 m))

series158.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

65.0ms	(* m (- 1 m))
48.0ms	(/ (* m (- 1 m)) v)
44.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify685.0ms

Counts: 193 → 141

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite455.0ms

Algorithm

rewrite-expression-head

Rules

1353×	`times-frac`
861×	`add-sqr-sqrt`
848×	`*-un-lft-identity`
831×	`add-cube-cbrt`
590×	`prod-diff`
104×	`div-inv`
14×	`associate-/r/`
13×	`associate-/r*` `fma-neg`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
9×	`distribute-lft-out--`
8×	`associate-l`
7×	`flip3--` `flip--`
6×	`associate-r`
5×	`pow1` `add-log-exp`
4×	`frac-times`
3×	`expm1-log1p-u` `cbrt-undiv` `sub-neg` `div-exp` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`associate-l/` `associate-r/`
1×	`clear-num` `frac-2neg` `diff-log` `difference-of-sqr-1` `pow-prod-down` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `unswap-sqr`

Counts

3 → 744

Calls

3 calls:

Slowest

401.0ms	(* (- (- (/ m v) (/ m (/ v m))) 1) (- 1 m))
17.0ms	(- (/ m v) (/ m (/ v m)))
6.0ms	(/ m (/ v m))

series112.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

50.0ms	(- (/ m v) (/ m (/ v m)))
35.0ms	(* (- (- (/ m v) (/ m (/ v m))) 1) (- 1 m))
26.0ms	(/ m (/ v m))

simplify2.8s

Counts: 1400 → 753

prune9.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

7.1b	(* (/ 1 (sqrt v)) (/ m (/ (sqrt v) m)))
0.2b	(/ (sqrt v) m)
0.2b	(/ 1 (sqrt v))
0.2b	(/ m (/ (sqrt v) m))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

353×	`times-frac`
257×	`add-sqr-sqrt`
192×	`*-un-lft-identity`
184×	`add-cube-cbrt`
109×	`sqrt-prod`
71×	`associate-r`
54×	`add-exp-log`
34×	`add-cbrt-cube`
31×	`associate-/r*`
24×	`div-exp`
22×	`associate-l`
20×	`unswap-sqr`
14×	`cbrt-undiv`
12×	`prod-exp` `div-inv` `associate-/l*`
8×	`pow1`
6×	`cbrt-unprod`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-flip`
2×	`associate-/r/`
1×	`frac-times` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `inv-pow`

Counts

4 → 345

Calls

4 calls:

Slowest

45.0ms	(* (/ 1 (sqrt v)) (/ m (/ (sqrt v) m)))
12.0ms	(/ m (/ (sqrt v) m))
9.0ms	(/ 1 (sqrt v))
9.0ms	(/ (sqrt v) m)

series253.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

87.0ms	(/ (sqrt v) m)
69.0ms	(/ m (/ (sqrt v) m))
53.0ms	(* (/ 1 (sqrt v)) (/ m (/ (sqrt v) m)))
44.0ms	(/ 1 (sqrt v))

simplify722.0ms

Counts: 481 → 357

prune3.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

46.7b	(fma (- m) (/ m v) (* m (/ m v)))
0.2b	(* m (/ m v))
0.2b	(* m (/ m v))
0.2b	(fma m (/ 1 v) (- (* m (/ m v))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`associate-r`
20×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`associate-l`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `fma-udef` `div-inv`

Counts

4 → 92

Calls

4 calls:

Slowest

9.0ms	(* m (/ m v))
9.0ms	(* m (/ m v))
0.0ms	(fma (- m) (/ m v) (* m (/ m v)))
0.0ms	(fma m (/ 1 v) (- (* m (/ m v))))

series152.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

54.0ms	(fma (- m) (/ m v) (* m (/ m v)))
43.0ms	(fma m (/ 1 v) (- (* m (/ m v))))
28.0ms	(* m (/ m v))
27.0ms	(* m (/ m v))

simplify538.0ms

Counts: 106 → 104

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.6s	13869×	body	80	valid
557.0ms	13869×	pre	80	true