Details

sample239.0ms

Algorithm

intervals

Results

36.0ms	421×	body	80	valid
18.0ms	421×	pre	80	true

simplify4.0s

Counts

1 → 1

Iterations

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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:

18.0ms	(* (fma (- 1 m) (/ m v) -1) (- 1 m))
1.0ms	(fma (- 1 m) (/ m v) -1)

series97.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* (fma (- 1 m) (/ m v) -1) (- 1 m))
46.0ms	(fma (- 1 m) (/ m v) -1)

simplify2.5s

Counts

65 → 65

Iterations

Iter	Nodes
3	2320
2	625
1	234
0	121

prune626.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

38.0ms	(* (- 1 m) (fma (- 1 m) (/ m v) -1))
1.0ms	(fma (- 1 m) (/ m v) -1)

series66.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify8.7s

Counts

45 → 45

Iterations

Iter	Nodes
4	9692
3	1820
2	489
1	160
0	72

prune365.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite149.0ms

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:

17.0ms	(* m (- 1 m))
17.0ms	(- (/ (* m (- 1 m)) v) 1)
92.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
20.0ms	(/ (* m (- 1 m)) v)

series153.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* m (- 1 m))
21.0ms	(- (/ (* m (- 1 m)) v) 1)
32.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
46.0ms	(/ (* m (- 1 m)) v)

simplify18.7s

Counts

194 → 194

Iterations

Iter	Nodes
3	6256
2	1599
1	620
0	269

prune1.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- (pow 1 3) (pow m 3)))
0.0b	(fma (fma m m m) v v)
0.0b	(/ (* m (- (pow 1 3) (pow m 3))) (fma (fma m m m) v v))
0.0b	(* (- (/ (* m (- (pow 1 3) (pow m 3))) (fma (fma m m m) v v)) 1) (- 1 m))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

306×	`prod-diff`
207×	`add-sqr-sqrt`
191×	`*-un-lft-identity`
166×	`add-cube-cbrt`
162×	`unpow-prod-down` `cube-prod`
157×	`distribute-rgt-in` `distribute-lft-in`
58×	`sqr-pow`
49×	`cube-mult`
48×	`unpow3`
40×	`associate-r`
28×	`difference-of-squares`
13×	`add-cbrt-cube` `add-exp-log`
10×	`associate-l`
8×	`pow1` `flip3--` `flip--` `distribute-lft-out--`
6×	`associate-*r/`
4×	`expm1-log1p-u` `frac-times` `sub-neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`difference-cubes` `clear-num` `frac-2neg` `difference-of-sqr-1` `fma-udef` `div-inv` `associate-/l*`

Counts

4 → 441

Calls

4 calls:

45.0ms	(* m (- (pow 1 3) (pow m 3)))
0.0ms	(fma (fma m m m) v v)
60.0ms	(/ (* m (- (pow 1 3) (pow m 3))) (fma (fma m m m) v v))
172.0ms	(* (- (/ (* m (- (pow 1 3) (pow m 3))) (fma (fma m m m) v v)) 1) (- 1 m))

series473.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* m (- (pow 1 3) (pow m 3)))
59.0ms	(fma (fma m m m) v v)
145.0ms	(/ (* m (- (pow 1 3) (pow m 3))) (fma (fma m m m) v v))
117.0ms	(* (- (/ (* m (- (pow 1 3) (pow m 3))) (fma (fma m m m) v v)) 1) (- 1 m))

simplify5.4s

Counts

453 → 453

Iterations

Iter	Nodes
2	3037
1	1178
0	565

prune5.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	16
1	16
0	14

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s	13650×	body	80	valid
649.0ms	13650×	pre	80	true