Details

sample455.0ms

Algorithm

intervals

Results

181.0ms	417×	body	80	valid
23.0ms	417×	pre	80	true

simplify1.4s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
61×	`*-un-lft-identity`
57×	`prod-diff`
49×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
19×	`add-exp-log`
15×	`times-frac`
13×	`add-cbrt-cube`
12×	`associate-r`
10×	`associate-l`
9×	`flip3--` `flip--`
8×	`pow1` `difference-of-squares`
7×	`fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `div-exp` `prod-exp` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
3×	`expm1-def` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `difference-of-sqr-1` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `associate-/l*`

Counts

4 → 182

Calls

4 calls:

Slowest

106.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
37.0ms	(- (/ (* m (- 1 m)) v) 1)
17.0ms	(/ (* m (- 1 m)) v)
16.0ms	(* m (- 1 m))

series228.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

80.0ms	(* m (- 1 m))
66.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
51.0ms	(/ (* m (- 1 m)) v)
30.0ms	(- (/ (* m (- 1 m)) v) 1)

simplify2.6s

Counts: 194 → 194

prune1.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 132

Calls

4 calls:

Slowest

140.0ms	(* (- (/ (* m (- (* 1 1) (* m m))) (fma v m v)) 1) (- 1 m))
30.0ms	(* m (- (* 1 1) (* m m)))
29.0ms	(/ (* m (- (* 1 1) (* m m))) (fma v m v))
18.0ms	(- (* 1 1) (* m m))

series316.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

96.0ms	(* m (- (* 1 1) (* m m)))
90.0ms	(* (- (/ (* m (- (* 1 1) (* m m))) (fma v m v)) 1) (- 1 m))
88.0ms	(/ (* m (- (* 1 1) (* m m))) (fma v m v))
43.0ms	(- (* 1 1) (* m m))

simplify1.1s

Counts: 144 → 144

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 163

Calls

4 calls:

Slowest

77.0ms	(* (- m) (- (/ (* m (- (* 1 1) (* m m))) (fma v m v)) 1))
33.0ms	(* m (- (* 1 1) (* m m)))
32.0ms	(/ (* m (- (* 1 1) (* m m))) (fma v m v))
26.0ms	(/ (* m (- (* 1 1) (* m m))) (fma v m v))

series364.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

127.0ms	(* m (- (* 1 1) (* m m)))
86.0ms	(/ (* m (- (* 1 1) (* m m))) (fma v m v))
86.0ms	(/ (* m (- (* 1 1) (* m m))) (fma v m v))
65.0ms	(* (- m) (- (/ (* m (- (* 1 1) (* m m))) (fma v m v)) 1))

simplify860.0ms

Counts: 175 → 175

prune2.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fma (fma (/ m v) (- 1 m) -1) (sqrt m) (fma (/ m v) (- 1 m) -1)) (- 1 (sqrt m)))
0.1b	(fma (/ m v) (- 1 m) -1)
0.1b	(fma (/ m v) (- 1 m) -1)
0.1b	(fma (fma (/ m v) (- 1 m) -1) (sqrt m) (fma (/ m v) (- 1 m) -1))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
36×	`prod-diff`
35×	`*-un-lft-identity`
30×	`add-cube-cbrt`
21×	`sqrt-prod`
20×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-r`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`associate-l` `fma-udef`
2×	`sub-neg` `associate-*r/` `distribute-lft-out--`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

Slowest

23.0ms	(* (fma (fma (/ m v) (- 1 m) -1) (sqrt m) (fma (/ m v) (- 1 m) -1)) (- 1 (sqrt m)))
1.0ms	(fma (fma (/ m v) (- 1 m) -1) (sqrt m) (fma (/ m v) (- 1 m) -1))
0.0ms	(fma (/ m v) (- 1 m) -1)
0.0ms	(fma (/ m v) (- 1 m) -1)

series338.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

144.0ms	(* (fma (fma (/ m v) (- 1 m) -1) (sqrt m) (fma (/ m v) (- 1 m) -1)) (- 1 (sqrt m)))
124.0ms	(fma (fma (/ m v) (- 1 m) -1) (sqrt m) (fma (/ m v) (- 1 m) -1))
37.0ms	(fma (/ m v) (- 1 m) -1)
32.0ms	(fma (/ m v) (- 1 m) -1)

simplify1.4s

Counts: 114 → 114

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes168.0ms

Accuracy

0% (0.1b remaining)

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

bsearch7.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s	13783×	body	80	valid
687.0ms	13783×	pre	80	true