Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize5.0ms

Local error

Found 1 expressions with local error:

62.0b

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

rewrite12.0ms

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` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

10.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify1.4s

Counts

55 → 55

Iterations

Useful iterations: 4 (608.0ms)

Iter	Nodes	Cost
0	94	708
1	224	681
2	516	653
3	1205	653
4	2989	651
done	5000	651

prune99.0ms

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)))
34.3b	(/ x (- hi lo))
62.0b	(/ lo (- hi lo))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
48×	`times-frac`
25×	`add-cube-cbrt`
20×	`distribute-lft-out--`
14×	`difference-of-squares`
10×	`associate-/r*`
8×	`associate-/r/`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`div-inv`
3×	`pow1` `distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 103

Calls

3 calls:

49.0ms	(- (/ x (- hi lo)) (/ lo (- hi lo)))
5.0ms	(/ x (- hi lo))
5.0ms	(/ lo (- hi lo))

series138.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (/ x (- hi lo)) (/ lo (- hi lo)))
27.0ms	(/ x (- hi lo))
47.0ms	(/ lo (- hi lo))

simplify1.6s

Counts

112 → 112

Iterations

Useful iterations: 4 (828.0ms)

Iter	Nodes	Cost
0	149	1266
1	299	1203
2	634	1159
3	1376	1159
4	3478	1153
done	5000	1153

prune184.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (- hi lo)) (/ 1 (+ -1 (/ hi lo))))
0.3b	(+ -1 (/ hi lo))
0.3b	(/ 1 (+ -1 (/ hi lo)))
34.3b	(/ x (- hi lo))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
42×	`times-frac`
23×	`add-cube-cbrt`
12×	`distribute-lft-out--`
10×	`add-exp-log` `difference-of-squares`
9×	`associate-/r*`
8×	`add-cbrt-cube` `add-log-exp`
7×	`distribute-lft-out`
6×	`associate-/l*`
5×	`pow1`
4×	`associate-/r/`
3×	`div-exp` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `clear-num` `flip--` `flip-+`
1×	`+-commutative` `sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `sum-log` `frac-sub` `inv-pow`

Counts

4 → 111

Calls

4 calls:

58.0ms	(- (/ x (- hi lo)) (/ 1 (+ -1 (/ hi lo))))
6.0ms	(+ -1 (/ hi lo))
12.0ms	(/ 1 (+ -1 (/ hi lo)))
5.0ms	(/ x (- hi lo))

series143.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (/ x (- hi lo)) (/ 1 (+ -1 (/ hi lo))))
14.0ms	(+ -1 (/ hi lo))
40.0ms	(/ 1 (+ -1 (/ hi lo)))
28.0ms	(/ x (- hi lo))

simplify1.1s

Counts

123 → 123

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	170	1510
1	368	1373
2	809	1314
3	2282	1312
done	5000	1311

prune229.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (/ hi lo) (/ hi lo))
0.7b	(pow (/ hi lo) 3)
1.8b	(- (* (/ hi lo) (/ hi lo)) (* -1 (/ hi lo)))
34.3b	(/ x (- hi lo))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
73×	`times-frac`
65×	`*-un-lft-identity`
57×	`add-cube-cbrt`
21×	`add-exp-log` `add-cbrt-cube`
13×	`unpow-prod-down` `cube-prod` `swap-sqr` `associate-r` `associate-l`
12×	`pow1`
8×	`associate-*r/`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`pow-unpow` `associate-l/` `frac-sub` `associate-/l`
2×	`frac-times` `flip3--` `pow-exp` `associate-/r/` `flip--` `sub-div` `rem-cube-cbrt`
1×	`cube-div` `pow2` `cube-mult` `pow-to-exp` `sub-neg` `distribute-rgt-out--` `pow-pow` `frac-2neg` `pow-plus` `diff-log` `unpow3` `pow-prod-down` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `sqr-pow`

Counts

4 → 168

Calls

4 calls:

12.0ms	(* (/ hi lo) (/ hi lo))
6.0ms	(pow (/ hi lo) 3)
6.0ms	(- (* (/ hi lo) (/ hi lo)) (* -1 (/ hi lo)))
5.0ms	(/ x (- hi lo))

series116.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (/ hi lo) (/ hi lo))
29.0ms	(pow (/ hi lo) 3)
34.0ms	(- (* (/ hi lo) (/ hi lo)) (* -1 (/ hi lo)))
27.0ms	(/ x (- hi lo))

simplify1.7s

Counts

180 → 180

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	249	2112
1	718	1744
2	3391	1500
done	5000	1491

prune422.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.9b

regimes171.0ms

Accuracy

0% (0.5b remaining)

Error of 1.2b against oracle of 0.7b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	26	49
1	34	48
done	34	48

end0.0ms

sample417.0ms

Algorithm

intervals

Results

139.0ms	8000×	body	80	valid
109.0ms	8000×	pre	80	true