Details

sample137.0ms

Algorithm

intervals

Results

40.0ms	447×	body	80	valid
19.0ms	447×	pre	80	true

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
5	2001
4	469
3	119
2	41
1	19
0	8

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 134

Calls

3 calls:

24.0ms	(- (/ (* m (- 1 m)) v) 1)
16.0ms	(/ (* m (- 1 m)) v)
84.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series134.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(- (/ (* m (- 1 m)) v) 1)
58.0ms	(/ (* m (- 1 m)) v)
54.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify1.1s

Counts

143 → 143

Iterations

Iter	Nodes
done	2000
2	2000
1	582
0	226

prune573.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

684×	`times-frac`
594×	`add-sqr-sqrt`
560×	`*-un-lft-identity`
391×	`add-cube-cbrt`
249×	`prod-diff`
118×	`difference-of-squares`
77×	`fma-neg`
55×	`distribute-lft-out--`
39×	`associate-/r/`
30×	`associate-/r*`
24×	`flip3--` `flip--`
22×	`div-inv`
19×	`add-exp-log`
13×	`add-cbrt-cube` `associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`div-exp`
6×	`pow1` `difference-of-sqr-1` `associate-r` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `insert-posit16` `log1p-expm1-u`
3×	`expm1-def` `sub-neg`
2×	`clear-num` `frac-2neg` `associate-l/` `associate-r/`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 561

Calls

4 calls:

9.0ms	(/ v (- 1 m))
48.0ms	(- (/ m (/ v (- 1 m))) 1)
180.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
11.0ms	(/ m (/ v (- 1 m)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ v (- 1 m))
41.0ms	(- (/ m (/ v (- 1 m))) 1)
49.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
46.0ms	(/ m (/ v (- 1 m)))

simplify1.4s

Counts

573 → 573

Iterations

Iter	Nodes
done	2002
2	2002
1	1503
0	606

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:

37.0ms	(* (fma (/ m 1) (/ (- 1 m) v) -1) (- 1 m))
1.0ms	(fma (/ m 1) (/ (- 1 m) v) -1)

series81.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (fma (/ m 1) (/ (- 1 m) v) -1) (- 1 m))
40.0ms	(fma (/ m 1) (/ (- 1 m) v) -1)

simplify1.4s

Counts

65 → 65

Iterations

Iter	Nodes
done	2004
4	2004
3	1854
2	584
1	253
0	123

prune213.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- 1 m))
0.1b	(* (cbrt (- 1 m)) (cbrt (- 1 m)))
0.2b	(fma (/ (sqrt m) (/ 1 (* (cbrt (- 1 m)) (cbrt (- 1 m))))) (/ (sqrt m) (/ v (cbrt (- 1 m)))) -1)
0.3b	(/ (sqrt m) (/ v (cbrt (- 1 m))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

387×	`times-frac`
279×	`add-sqr-sqrt`
277×	`*-un-lft-identity`
193×	`add-cube-cbrt`
164×	`cbrt-prod`
102×	`sqrt-prod`
52×	`difference-of-squares`
33×	`associate-/r*`
28×	`cbrt-div` `distribute-lft-out--`
15×	`associate-/r/`
14×	`flip3--` `flip--`
11×	`pow1` `swap-sqr` `add-exp-log`
9×	`associate-r` `associate-l`
8×	`add-cbrt-cube` `div-inv`
7×	`pow1/3`
6×	`associate-/l*`
4×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `clear-num` `frac-2neg` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 347

Calls

4 calls:

6.0ms	(cbrt (- 1 m))
50.0ms	(* (cbrt (- 1 m)) (cbrt (- 1 m)))
0.0ms	(fma (/ (sqrt m) (/ 1 (* (cbrt (- 1 m)) (cbrt (- 1 m))))) (/ (sqrt m) (/ v (cbrt (- 1 m)))) -1)
13.0ms	(/ (sqrt m) (/ v (cbrt (- 1 m))))

series1.3s

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt (- 1 m))
43.0ms	(* (cbrt (- 1 m)) (cbrt (- 1 m)))
457.0ms	(fma (/ (sqrt m) (/ 1 (* (cbrt (- 1 m)) (cbrt (- 1 m))))) (/ (sqrt m) (/ v (cbrt (- 1 m)))) -1)
754.0ms	(/ (sqrt m) (/ v (cbrt (- 1 m))))

simplify1.8s

Counts

359 → 359

Iterations

Iter	Nodes
done	2000
2	2000
1	1456
0	565

prune1.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s	13714×	body	80	valid
599.0ms	13714×	pre	80	true