Details

sample203.0ms

Algorithm

intervals

Results

50.0ms	438×	body	80	valid
24.0ms	438×	pre	80	true

simplify3.7s

Counts: 1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`times-frac`
13×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
8×	`pow1`
7×	`fma-neg`
6×	`add-log-exp` `difference-of-squares`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `div-exp` `prod-exp` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`expm1-def` `associate-/r*` `sub-neg` `cbrt-unprod` `distribute-lft-out--`
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 → 151

Calls

4 calls:

Slowest

87.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
31.0ms	(- (/ (* m (- 1 m)) v) 1)
28.0ms	(* m (- 1 m))
18.0ms	(/ (* m (- 1 m)) v)

series176.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

58.0ms	(* m (- 1 m))
53.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
47.0ms	(/ (* m (- 1 m)) v)
18.0ms	(- (/ (* m (- 1 m)) v) 1)

simplify1.9s

Counts: 163 → 163

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

684×	`times-frac`
579×	`add-sqr-sqrt`
545×	`*-un-lft-identity`
379×	`add-cube-cbrt`
231×	`prod-diff`
116×	`difference-of-squares`
77×	`fma-neg`
54×	`distribute-lft-out--`
39×	`associate-/r/`
30×	`associate-/r*`
22×	`div-inv`
19×	`flip3--` `add-exp-log` `flip--`
13×	`add-cbrt-cube` `associate-l`
7×	`div-exp`
6×	`pow1` `difference-of-sqr-1` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u`
3×	`expm1-def` `associate-r`
2×	`clear-num` `frac-2neg` `associate-*l/`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 530

Calls

4 calls:

Slowest

157.0ms	(* (- (/ m (/ v (- 1 m))) 1) m)
81.0ms	(- (/ m (/ v (- 1 m))) 1)
21.0ms	(/ m (/ v (- 1 m)))
18.0ms	(/ v (- 1 m))

series146.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

47.0ms	(/ v (- 1 m))
44.0ms	(/ m (/ v (- 1 m)))
36.0ms	(* (- (/ m (/ v (- 1 m))) 1) m)
18.0ms	(- (/ m (/ v (- 1 m))) 1)

simplify874.0ms

Counts: 542 → 542

prune5.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ m (sqrt v))
0.2b	(/ 1 (sqrt v))
0.2b	(fma (/ 1 (sqrt v)) (* (/ m (sqrt v)) (- 1 m)) -1)
0.2b	(* (+ (fma (/ 1 (sqrt v)) (* (/ m (sqrt v)) (- 1 m)) -1) (+ -1 1)) m)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
36×	`times-frac` `add-cube-cbrt`
24×	`sqrt-prod`
12×	`associate-/r*` `add-exp-log`
10×	`add-cbrt-cube`
8×	`pow1`
6×	`associate-/l*`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-exp` `associate-r` `pow-flip` `distribute-lft-out`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `associate-*l/` `div-inv`
1×	`rec-exp` `sqrt-pow1` `flip3-+` `pow1/2` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `inv-pow` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

Slowest

33.0ms	(* (+ (fma (/ 1 (sqrt v)) (* (/ m (sqrt v)) (- 1 m)) -1) (+ -1 1)) m)
11.0ms	(/ 1 (sqrt v))
5.0ms	(/ m (sqrt v))
0.0ms	(fma (/ 1 (sqrt v)) (* (/ m (sqrt v)) (- 1 m)) -1)

series420.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

176.0ms	(fma (/ 1 (sqrt v)) (* (/ m (sqrt v)) (- 1 m)) -1)
124.0ms	(* (+ (fma (/ 1 (sqrt v)) (* (/ m (sqrt v)) (- 1 m)) -1) (+ -1 1)) m)
72.0ms	(/ m (sqrt v))
47.0ms	(/ 1 (sqrt v))

simplify1.9s

Counts: 138 → 138

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

Slowest

39.0ms	(* (* (fma (/ m v) (- 1 m) -1) (sqrt m)) (sqrt m))
7.0ms	(* (fma (/ m v) (- 1 m) -1) (sqrt m))
0.0ms	(fma (/ m v) (- 1 m) -1)

series160.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

82.0ms	(* (fma (/ m v) (- 1 m) -1) (sqrt m))
50.0ms	(* (* (fma (/ m v) (- 1 m) -1) (sqrt m)) (sqrt m))
28.0ms	(fma (/ m v) (- 1 m) -1)

simplify883.0ms

Counts: 69 → 69

prune620.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes195.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.8s	13674×	body	80	valid
561.0ms	13674×	pre	80	true