Details

sample202.0ms

Algorithm

intervals

Results

51.0ms	423×	body	80	valid
24.0ms	423×	pre	80	true

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
6	3591
5	1094
4	330
3	97
2	39
1	17
0	8

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

0.0ms	(fma (- 1 m) (/ m v) -1)
38.0ms	(* (fma (- 1 m) (/ m v) -1) (- 1 m))

series98.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(fma (- 1 m) (/ m v) -1)
56.0ms	(* (fma (- 1 m) (/ m v) -1) (- 1 m))

simplify2.4s

Counts

65 → 65

Iterations

Iter	Nodes
3	2397
2	631
1	232
0	121

prune540.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite207.0ms

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:

34.0ms	(- (/ (* m (- 1 m)) v) 1)
16.0ms	(* m (- 1 m))
24.0ms	(/ (* m (- 1 m)) v)
127.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series184.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (/ (* m (- 1 m)) v) 1)
56.0ms	(* m (- 1 m))
46.0ms	(/ (* m (- 1 m)) v)
53.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify17.0s

Counts

194 → 194

Iterations

Iter	Nodes
3	7090
2	1799
1	626
0	269

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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:

0.0ms	(fma (/ m v) (- 1 m) -1)
0.0ms	(fma (/ m v) (- 1 m) -1)
0.0ms	(fma (sqrt m) (fma (/ m v) (- 1 m) -1) (fma (/ m v) (- 1 m) -1))
28.0ms	(* (fma (sqrt m) (fma (/ m v) (- 1 m) -1) (fma (/ m v) (- 1 m) -1)) (- 1 (sqrt m)))

series276.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(fma (/ m v) (- 1 m) -1)
19.0ms	(fma (/ m v) (- 1 m) -1)
122.0ms	(fma (sqrt m) (fma (/ m v) (- 1 m) -1) (fma (/ m v) (- 1 m) -1))
104.0ms	(* (fma (sqrt m) (fma (/ m v) (- 1 m) -1) (fma (/ m v) (- 1 m) -1)) (- 1 (sqrt m)))

simplify2.3s

Counts

114 → 114

Iterations

Iter	Nodes
3	3551
2	820
1	325
0	174

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (- 1 m)) (cbrt (- 1 m)))
0.1b	(cbrt (- 1 m))
0.1b	(cbrt (- 1 m))
0.1b	(cbrt (- 1 m))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-prod`
44×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
11×	`pow1` `swap-sqr`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 119

Calls

4 calls:

29.0ms	(* (cbrt (- 1 m)) (cbrt (- 1 m)))
3.0ms	(cbrt (- 1 m))
3.0ms	(cbrt (- 1 m))
3.0ms	(cbrt (- 1 m))

series253.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (cbrt (- 1 m)) (cbrt (- 1 m)))
61.0ms	(cbrt (- 1 m))
69.0ms	(cbrt (- 1 m))
63.0ms	(cbrt (- 1 m))

simplify1.8s

Counts

131 → 131

Iterations

Iter	Nodes
4	3614
3	1448
2	642
1	307
0	144

prune1.7s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	9
1	9
0	8

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.8s	13825×	body	80	valid
592.0ms	13825×	pre	80	true