Details

sample62.0ms

Algorithm

intervals

Results

30.0ms	124×	pre	10240	exit
12.0ms	256×	body	80	valid
6.0ms	132×	pre	80	true

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	12
2	12
1	10
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1 x1))
7.4b	(- (/ x0 (- 1 x1)) x0)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

130×	`add-sqr-sqrt`
127×	`*-un-lft-identity`
91×	`times-frac`
77×	`add-cube-cbrt`
72×	`prod-diff`
34×	`difference-of-squares`
24×	`fma-neg`
17×	`distribute-lft-out--`
10×	`associate-/r/`
6×	`associate-/r*` `flip3--` `flip--`
5×	`div-inv`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp`

Counts

2 → 156

Calls

2 calls:

7.0ms	(/ x0 (- 1 x1))
48.0ms	(- (/ x0 (- 1 x1)) x0)

series107.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ x0 (- 1 x1))
63.0ms	(- (/ x0 (- 1 x1)) x0)

simplify1.7s

Counts

162 → 162

Iterations

Iter	Nodes
3	2483
2	935
1	424
0	201

prune808.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.8b

localize35.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (cbrt x0) (- 1 x1))
6.1b	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`times-frac`
23×	`add-cube-cbrt`
21×	`cbrt-prod`
14×	`difference-of-squares`
7×	`distribute-lft-out--`
6×	`associate-/r` `associate-/l`
4×	`add-exp-log`
3×	`add-cbrt-cube`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 74

Calls

2 calls:

16.0ms	(/ (cbrt x0) (- 1 x1))
0.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))

series259.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(/ (cbrt x0) (- 1 x1))
146.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- x0))

simplify676.0ms

Counts

80 → 80

Iterations

Iter	Nodes
3	2636
2	772
1	294
0	154

prune529.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.8b

localize19.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (sqrt x0) (- 1 (sqrt x1)))
6.4b	(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
54×	`times-frac`
51×	`sqrt-prod`
29×	`add-cube-cbrt`
28×	`difference-of-squares`
14×	`distribute-lft-out--`
9×	`associate-/r*`
6×	`associate-/l*`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 95

Calls

2 calls:

10.0ms	(/ (sqrt x0) (- 1 (sqrt x1)))
0.0ms	(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))

series360.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(/ (sqrt x0) (- 1 (sqrt x1)))
239.0ms	(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))

simplify11.5s

Counts

101 → 101

Iterations

Iter	Nodes
4	5452
3	1933
2	682
1	312
0	161

prune626.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.8b

localize35.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (cbrt x0) (- 1 (sqrt x1)))
6.9b	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
54×	`times-frac`
30×	`cbrt-prod`
29×	`add-cube-cbrt`
28×	`difference-of-squares`
21×	`sqrt-prod`
14×	`distribute-lft-out--`
9×	`associate-/r*`
6×	`associate-/l*`
4×	`add-exp-log`
3×	`add-cbrt-cube`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 95

Calls

2 calls:

15.0ms	(/ (cbrt x0) (- 1 (sqrt x1)))
0.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))

series343.0ms

Counts

2 → 6

Calls

2 calls:

153.0ms	(/ (cbrt x0) (- 1 (sqrt x1)))
190.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- x0))

simplify1.0s

Counts

101 → 101

Iterations

Iter	Nodes
3	3167
2	915
1	362
0	182

prune396.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.8b

regimes90.0ms

Accuracy

42.6% (1.2b remaining)

Error of 6.0b against oracle of 4.9b and baseline of 6.9b

bsearch29.0ms

Steps

Iters	Range		Point
7	0.000209	0.0186	0.018204597656249998

simplify3.0ms

Iterations

Iter	Nodes
2	21
1	21
0	20

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.0s	4004×	pre	10240	exit
318.0ms	8000×	body	80	valid
144.0ms	3996×	pre	80	true