Details

sample18.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify12.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize6.0ms

Local error

Found 1 expressions with local error:

62.0b

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

rewrite25.0ms

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:

23.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify1.9s

Counts

57 → 57

Iterations

Useful iterations: 4 (1.1s)

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

prune101.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ x (- hi lo)) (/ lo (- hi lo)))
31.6b	(/ x (- hi lo))
62.0b	(/ lo (- hi lo))

rewrite175.0ms

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:

101.0ms	(- (/ x (- hi lo)) (/ lo (- hi lo)))
13.0ms	(/ x (- hi lo))
11.0ms	(/ lo (- hi lo))

series150.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (/ x (- hi lo)) (/ lo (- hi lo)))
30.0ms	(/ x (- hi lo))
51.0ms	(/ lo (- hi lo))

simplify1.6s

Counts

580 → 580

Iterations

Useful iterations: done (1.5s)

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

prune461.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (- hi lo)) (/ 1 (- (/ hi lo) 1)))
0.2b	(- (/ hi lo) 1)
0.3b	(/ 1 (- (/ hi lo) 1))
31.6b	(/ x (- hi lo))

rewrite311.0ms

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:

144.0ms	(- (/ x (- hi lo)) (/ 1 (- (/ hi lo) 1)))
24.0ms	(- (/ hi lo) 1)
24.0ms	(/ 1 (- (/ hi lo) 1))
11.0ms	(/ x (- hi lo))

series157.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (/ x (- hi lo)) (/ 1 (- (/ hi lo) 1)))
15.0ms	(- (/ hi lo) 1)
45.0ms	(/ 1 (- (/ hi lo) 1))
30.0ms	(/ x (- hi lo))

simplify1.7s

Counts

993 → 993

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	853	60339
1	1835	48540
2	2920	38930
done	5001	35301

prune727.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ 1 (fma (/ hi lo) (/ hi lo) -1)) (+ (/ hi lo) 1))
1.5b	(+ (/ hi lo) 1)
1.5b	(fma (/ hi lo) (/ hi lo) -1)
31.6b	(/ x (- hi lo))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
35×	`times-frac`
29×	`add-cube-cbrt`
15×	`add-exp-log`
13×	`fma-def` `associate-l`
11×	`add-cbrt-cube`
6×	`pow1` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `associate-r` `prod-exp` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`flip3-+` `div-exp` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `associate-/r/` `cbrt-unprod` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `rec-exp` `flip3--` `frac-2neg` `distribute-lft-in` `1-exp` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip--` `fma-udef`

Counts

4 → 120

Calls

4 calls:

55.0ms	(* (/ 1 (fma (/ hi lo) (/ hi lo) -1)) (+ (/ hi lo) 1))
19.0ms	(+ (/ hi lo) 1)
0.0ms	(fma (/ hi lo) (/ hi lo) -1)
11.0ms	(/ x (- hi lo))

series128.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (/ 1 (fma (/ hi lo) (/ hi lo) -1)) (+ (/ hi lo) 1))
15.0ms	(+ (/ hi lo) 1)
31.0ms	(fma (/ hi lo) (/ hi lo) -1)
31.0ms	(/ x (- hi lo))

simplify1.9s

Counts

132 → 132

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	178	1632
1	456	1493
2	1339	1335
done	5000	1163

prune293.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 1.0b

regimes146.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	15	20
done	15	20

end0.0ms

sample439.0ms

Algorithm

intervals

Results

126.0ms	8000×	body	80	valid
95.0ms	8000×	pre	80	true