Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	16	7
3	18	7
done	18	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize12.0ms

Local error

Found 1 expressions with local error:

62.0b

(/ (- x lo) (- hi lo))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
13×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-sub` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 54

Calls

1 calls:

72.0ms

(/ (- x lo) (- hi lo))

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(/ (- x lo) (- hi lo))

simplify2.7s

Counts

57 → 57

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	96	724
1	229	696
2	562	668
3	1380	668
4	3737	666
done	5000	666

prune149.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ x (- hi lo)) (/ lo (- hi lo)))
33.8b	(/ x (- hi lo))
62.0b	(/ lo (- hi lo))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

712×	`*-un-lft-identity`
702×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
412×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 571

Calls

3 calls:

122.0ms	(- (/ x (- hi lo)) (/ lo (- hi lo)))
12.0ms	(/ x (- hi lo))
24.0ms	(/ lo (- hi lo))

series197.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(- (/ x (- hi lo)) (/ lo (- hi lo)))
36.0ms	(/ x (- hi lo))
58.0ms	(/ lo (- hi lo))

simplify2.2s

Counts

580 → 580

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	553	28194
1	1203	25295
2	2535	19371
done	5000	14562

prune565.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (- hi lo)) (/ 1 (- (/ hi lo) 1)))
0.3b	(/ 1 (- (/ hi lo) 1))
0.3b	(- (/ hi lo) 1)
33.8b	(/ x (- hi lo))

rewrite412.0ms

Algorithm

rewrite-expression-head

Rules

1692×	`add-sqr-sqrt`
1485×	`times-frac`
1224×	`*-un-lft-identity`
795×	`prod-diff`
697×	`add-cube-cbrt`
393×	`difference-of-squares`
193×	`distribute-lft-out--`
136×	`difference-of-sqr-1`
120×	`associate-/r/`
65×	`div-inv`
62×	`flip3--` `flip--`
34×	`fma-neg`
15×	`associate-/r*`
13×	`add-exp-log`
8×	`add-cbrt-cube` `add-log-exp`
6×	`associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `expm1-def` `frac-2neg` `diff-log` `clear-num`
1×	`rec-exp` `pow-flip` `1-exp` `frac-sub` `inv-pow`

Counts

4 → 981

Calls

4 calls:

194.0ms	(- (/ x (- hi lo)) (/ 1 (- (/ hi lo) 1)))
30.0ms	(/ 1 (- (/ hi lo) 1))
32.0ms	(- (/ hi lo) 1)
12.0ms	(/ x (- hi lo))

series207.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(- (/ x (- hi lo)) (/ 1 (- (/ hi lo) 1)))
53.0ms	(/ 1 (- (/ hi lo) 1))
18.0ms	(- (/ hi lo) 1)
46.0ms	(/ x (- hi lo))

simplify2.3s

Counts

993 → 993

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	853	60339
1	1835	48540
2	2921	38930
done	5002	35301

prune952.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (sqrt hi) 1) (/ (sqrt hi) lo) -1)
0.2b	(/ (sqrt hi) lo)
0.3b	(/ 1 (fma (/ (sqrt hi) 1) (/ (sqrt hi) lo) -1))
33.8b	(/ x (- hi lo))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt` `*-un-lft-identity`
42×	`times-frac`
37×	`add-cube-cbrt`
12×	`add-exp-log` `sqrt-prod` `associate-/l*`
11×	`associate-/r*`
10×	`add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`cbrt-undiv` `frac-2neg` `clear-num` `div-inv`
2×	`associate-/r/`
1×	`rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `fma-udef` `inv-pow`

Counts

4 → 123

Calls

4 calls:

0.0ms	(fma (/ (sqrt hi) 1) (/ (sqrt hi) lo) -1)
7.0ms	(/ (sqrt hi) lo)
7.0ms	(/ 1 (fma (/ (sqrt hi) 1) (/ (sqrt hi) lo) -1))
16.0ms	(/ x (- hi lo))

series419.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(fma (/ (sqrt hi) 1) (/ (sqrt hi) lo) -1)
80.0ms	(/ (sqrt hi) lo)
166.0ms	(/ 1 (fma (/ (sqrt hi) 1) (/ (sqrt hi) lo) -1))
56.0ms	(/ x (- hi lo))

simplify1.6s

Counts

135 → 135

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	215	1666
1	408	1261
2	884	1175
3	1996	1165
done	5001	1153

prune315.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.8b

regimes114.0ms

Accuracy

0% (0.3b remaining)

Error of 1.0b against oracle of 0.7b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	13	18
1	15	16
done	15	16

end0.0ms

sample632.0ms

Algorithm

intervals

Results

209.0ms	8000×	body	80	valid
123.0ms	8000×	pre	80	true