Details

sample171.0ms

Algorithm

intervals

Results

140.0ms

452×

body

valid

simplify11.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5015
8	4234
7	1279
6	494
5	259
4	162
3	98
2	53
1	22
0	11

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize313.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (/ (+ z x) (/ y (- z x))))
0.0b	(/ y (- z x))
0.2b	(/ (+ z x) (/ y (- z x)))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

177×	`times-frac`
164×	`*-un-lft-identity`
127×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
26×	`associate-/r*`
22×	`distribute-lft-out` `difference-of-squares`
20×	`distribute-lft-out--`
13×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

3 → 179

Calls

3 calls:

114.0ms	(- y (/ (+ z x) (/ y (- z x))))
20.0ms	(/ y (- z x))
57.0ms	(/ (+ z x) (/ y (- z x)))

series247.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(- y (/ (+ z x) (/ y (- z x))))
52.0ms	(/ y (- z x))
106.0ms	(/ (+ z x) (/ y (- z x)))

simplify3.5s

Counts

188 → 188

Iterations

Iter	Nodes
done	5002
2	2415
1	667
0	254

prune1.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* (/ (+ z x) y) (- z x)))
0.0b	(/ (+ z x) y)
0.2b	(* (/ (+ z x) y) (- z x))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
21×	`add-cube-cbrt`
16×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
5×	`pow1` `sub-neg` `associate-r` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-/l*` `associate--r+`
3×	`flip3--` `associate-/r*` `flip--`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 94

Calls

3 calls:

15.0ms	(- y (* (/ (+ z x) y) (- z x)))
38.0ms	(/ (+ z x) y)
92.0ms	(* (/ (+ z x) y) (- z x))

series231.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(- y (* (/ (+ z x) y) (- z x)))
40.0ms	(/ (+ z x) y)
106.0ms	(* (/ (+ z x) y) (- z x))

simplify2.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1395
1	401
0	148

prune955.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(- y (/ (/ (+ z x) y) (/ 1 (- z x))))
0.0b	(/ (+ z x) y)
0.0b	(/ 1 (- z x))
0.3b	(/ (/ (+ z x) y) (/ 1 (- z x)))

rewrite885.0ms

Algorithm

rewrite-expression-head

Rules

895×	`times-frac`
606×	`*-un-lft-identity`
487×	`add-sqr-sqrt`
352×	`add-cube-cbrt`
70×	`distribute-lft-out`
62×	`difference-of-squares`
56×	`distribute-lft-out--`
42×	`div-inv`
37×	`associate-/r/`
32×	`add-exp-log`
29×	`associate-/r*`
23×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`flip3--` `div-exp` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `pow-flip` `flip3-+` `diff-log` `flip-+` `inv-pow`

Counts

4 → 491

Calls

4 calls:

305.0ms	(- y (/ (/ (+ z x) y) (/ 1 (- z x))))
38.0ms	(/ (+ z x) y)
31.0ms	(/ 1 (- z x))
299.0ms	(/ (/ (+ z x) y) (/ 1 (- z x)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- y (/ (/ (+ z x) y) (/ 1 (- z x))))
49.0ms	(/ (+ z x) y)
119.0ms	(/ 1 (- z x))
118.0ms	(/ (/ (+ z x) y) (/ 1 (- z x)))

simplify5.8s

Counts

503 → 503

Iterations

Iter	Nodes
done	5009
2	4662
1	1930
0	620

prune3.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize294.0ms

Local error

Found 4 expressions with local error:

0.0b	(- y (/ (+ z x) (* y (/ 1 (- z x)))))
0.0b	(/ 1 (- z x))
0.2b	(/ (+ z x) (* y (/ 1 (- z x))))
0.2b	(* y (/ 1 (- z x)))

rewrite385.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
36×	`times-frac`
32×	`add-exp-log`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
11×	`div-exp`
8×	`prod-exp` `distribute-lft-out--` `difference-of-squares`
7×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `associate-/r*` `associate-/r/` `add-log-exp`
4×	`cbrt-unprod`
3×	`rec-exp` `flip3--` `1-exp` `associate-l` `flip--` `div-inv` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `associate-/l/` `distribute-lft-out`
1×	`sub-neg` `pow-flip` `flip3-+` `diff-log` `pow-prod-down` `*-commutative` `flip-+` `inv-pow`

Counts

4 → 130

Calls

4 calls:

46.0ms	(- y (/ (+ z x) (* y (/ 1 (- z x)))))
52.0ms	(/ 1 (- z x))
151.0ms	(/ (+ z x) (* y (/ 1 (- z x))))
88.0ms	(* y (/ 1 (- z x)))

series762.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(- y (/ (+ z x) (* y (/ 1 (- z x)))))
200.0ms	(/ 1 (- z x))
144.0ms	(/ (+ z x) (* y (/ 1 (- z x))))
295.0ms	(* y (/ 1 (- z x)))

simplify4.2s

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
2	1649
1	462
0	181

prune2.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes792.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample11.4s

Algorithm

intervals

Results

10.7s

13549×

body

valid