Details

sample303.0ms

Algorithm

intervals

Results

81.0ms	420×	body	80	valid
25.0ms	420×	pre	80	true

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
9	2429
8	1701
7	1274
6	937
5	536
4	217
3	72
2	35
1	19
0	8

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
7×	`pow1`
4×	`associate-*r/` `difference-of-squares`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `flip3--` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out--` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

3 → 101

Calls

3 calls:

28.0ms	(* m (- 1 m))
15.0ms	(/ (* m (- 1 m)) v)
101.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series176.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(* m (- 1 m))
36.0ms	(/ (* m (- 1 m)) v)
59.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify1.1s

Counts

110 → 110

Iterations

Iter	Nodes
3	2915
2	927
1	390
0	180

prune791.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ m v) (/ m (/ v m)))
0.1b	(* (- (- (/ m v) (/ m (/ v m))) 1) m)
0.3b	(/ m (/ v m))

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

1353×	`times-frac`
846×	`add-sqr-sqrt`
833×	`*-un-lft-identity`
819×	`add-cube-cbrt`
572×	`prod-diff`
104×	`div-inv`
14×	`associate-/r/`
13×	`associate-/r*` `fma-neg`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-l` `distribute-lft-out--` `difference-of-squares`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-r` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`flip3--` `associate-*l/` `flip--`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `difference-of-sqr-1` `pow-prod-down` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `unswap-sqr`

Counts

3 → 713

Calls

3 calls:

16.0ms	(- (/ m v) (/ m (/ v m)))
305.0ms	(* (- (- (/ m v) (/ m (/ v m))) 1) m)
6.0ms	(/ m (/ v m))

series91.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- (/ m v) (/ m (/ v m)))
32.0ms	(* (- (- (/ m v) (/ m (/ v m))) 1) m)
30.0ms	(/ m (/ v m))

simplify1.2s

Counts

722 → 722

Iterations

Iter	Nodes
1	2316
0	989

prune9.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v m)) m)
0.0b	(- (- (/ m (/ v m)) m) (* (/ m v) (* m m)))
0.3b	(/ m (/ v m))
2.0b	(* (/ m v) (* m m))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

556×	`times-frac`
418×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
388×	`add-cube-cbrt`
272×	`prod-diff`
134×	`associate--l+`
52×	`fma-neg`
34×	`div-inv`
21×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/r` `associate-l*`
11×	`associate-/r/` `add-log-exp`
9×	`pow1` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `diff-log` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `distribute-rgt-out--` `pow-prod-down` `associate-l/` `flip--` `associate-/l` `distribute-lft-out--`
2×	`frac-sub` `unswap-sqr`
1×	`associate--l-` `clear-num` `frac-2neg` `associate-r` `*-commutative`

Counts

4 → 476

Calls

4 calls:

37.0ms	(- (/ m (/ v m)) m)
137.0ms	(- (- (/ m (/ v m)) m) (* (/ m v) (* m m)))
6.0ms	(/ m (/ v m))
26.0ms	(* (/ m v) (* m m))

series159.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (/ m (/ v m)) m)
51.0ms	(- (- (/ m (/ v m)) m) (* (/ m v) (* m m)))
23.0ms	(/ m (/ v m))
41.0ms	(* (/ m v) (* m m))

simplify1.2s

Counts

488 → 488

Iterations

Iter	Nodes
2	3107
1	1021
0	422

prune4.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma m (- (/ m v) 1) (- (* (/ m v) (* m m))))
2.0b	(* (/ m v) (* m m))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-cbrt-cube` `add-exp-log`
13×	`associate-l`
12×	`add-sqr-sqrt`
10×	`times-frac`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`prod-exp` `cbrt-unprod`
3×	`pow-prod-down`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`associate-r` `associate-l/` `-commutative` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

0.0ms	(fma m (- (/ m v) 1) (- (* (/ m v) (* m m))))
24.0ms	(* (/ m v) (* m m))

series72.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(fma m (- (/ m v) 1) (- (* (/ m v) (* m m))))
35.0ms	(* (/ m v) (* m m))

simplify1.0s

Counts

55 → 55

Iterations

Iter	Nodes
3	2874
2	721
1	226
0	91

prune444.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	12
1	12
0	8

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.5s	13653×	body	80	valid
535.0ms	13653×	pre	80	true