Details

sample31.0ms

Algorithm

intervals

Results

16.0ms

416×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 7 (990.0ms)

Iter	Nodes	Cost
0	11	284
1	22	284
2	55	284
3	100	284
4	181	284
5	343	284
6	896	284
7	3958	244
done	5000	244

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- y (/ (- (* z z) (* x x)) y))
0.2b	(/ (- y (/ (- (* z z) (* x x)) y)) 2.0)
0.9b	(- (* z z) (* x x))
10.5b	(/ (- (* z z) (* x x)) y)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
35×	`times-frac`
34×	`*-un-lft-identity`
24×	`add-cube-cbrt`
15×	`difference-of-squares`
10×	`associate-/l*`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`pow1` `flip3--` `flip--` `associate-/l/`
3×	`div-sub`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`
1×	`associate--r-`

Counts

4 → 105

Calls

4 calls:

15.0ms	(- y (/ (- (* z z) (* x x)) y))
50.0ms	(/ (- y (/ (- (* z z) (* x x)) y)) 2.0)
9.0ms	(- (* z z) (* x x))
20.0ms	(/ (- (* z z) (* x x)) y)

series235.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- y (/ (- (* z z) (* x x)) y))
81.0ms	(/ (- y (/ (- (* z z) (* x x)) y)) 2.0)
44.0ms	(- (* z z) (* x x))
66.0ms	(/ (- (* z z) (* x x)) y)

simplify1.3s

Counts

117 → 117

Iterations

Useful iterations: 2 (449.0ms)

Iter	Nodes	Cost
0	179	43339
1	468	37596
2	2107	37316
done	5001	37316

prune606.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- y (/ (+ z x) (/ y (- z x))))
0.0b	(/ y (- z x))
0.2b	(/ (- y (/ (+ z x) (/ y (- z x)))) 2.0)
0.3b	(/ (+ z x) (/ y (- z x)))

rewrite327.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
185×	`*-un-lft-identity`
176×	`add-sqr-sqrt`
93×	`add-cube-cbrt`
34×	`difference-of-squares`
29×	`associate-/r*`
24×	`distribute-lft-out--`
22×	`distribute-lft-out`
14×	`associate-/l*`
13×	`add-cbrt-cube` `add-exp-log` `associate-/r/`
8×	`flip3--` `div-inv` `flip--`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/l/`
3×	`clear-num` `frac-2neg`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `flip-+`

Counts

4 → 225

Calls

4 calls:

76.0ms	(- y (/ (+ z x) (/ y (- z x))))
11.0ms	(/ y (- z x))
190.0ms	(/ (- y (/ (+ z x) (/ y (- z x)))) 2.0)
31.0ms	(/ (+ z x) (/ y (- z x)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- y (/ (+ z x) (/ y (- z x))))
38.0ms	(/ y (- z x))
82.0ms	(/ (- y (/ (+ z x) (/ y (- z x)))) 2.0)
71.0ms	(/ (+ z x) (/ y (- z x)))

simplify2.1s

Counts

237 → 237

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	325	95557
1	843	86320
2	4397	84535
done	5002	84415

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- y (* (+ z x) (/ (- z x) y)))
0.0b	(/ (- z x) y)
0.2b	(/ (- y (* (+ z x) (/ (- z x) y))) 2.0)
0.2b	(* (+ z x) (/ (- z x) y))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
40×	`times-frac`
32×	`add-cube-cbrt`
19×	`associate-r`
13×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-l` `associate-/l/`
3×	`cbrt-undiv` `flip3--` `div-exp` `div-inv` `flip--`
2×	`frac-times` `clear-num` `frac-2neg` `flip3-+` `div-sub` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`sub-neg` `diff-log` `pow-prod-down` `associate-r/` `-commutative` `distribute-lft-out`

Counts

4 → 123

Calls

4 calls:

4.0ms	(- y (* (+ z x) (/ (- z x) y)))
28.0ms	(/ (- z x) y)
15.0ms	(/ (- y (* (+ z x) (/ (- z x) y))) 2.0)
41.0ms	(* (+ z x) (/ (- z x) y))

series236.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- y (* (+ z x) (/ (- z x) y)))
29.0ms	(/ (- z x) y)
83.0ms	(/ (- y (* (+ z x) (/ (- z x) y))) 2.0)
68.0ms	(* (+ z x) (/ (- z x) y))

simplify2.5s

Counts

135 → 135

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	200	41341
1	528	35736
2	3200	35132
done	5000	35052

prune762.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z x))
0.2b	(/ (- y (/ (+ z x) (* y (/ 1 (- z x))))) 2.0)
0.2b	(* y (/ 1 (- z x)))
0.3b	(/ (+ z x) (* y (/ 1 (- z x))))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 154

Calls

4 calls:

16.0ms	(/ 1 (- z x))
72.0ms	(/ (- y (/ (+ z x) (* y (/ 1 (- z x))))) 2.0)
43.0ms	(* y (/ 1 (- z x)))
41.0ms	(/ (+ z x) (* y (/ 1 (- z x))))

series283.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ 1 (- z x))
99.0ms	(/ (- y (/ (+ z x) (* y (/ 1 (- z x))))) 2.0)
43.0ms	(* y (/ 1 (- z x)))
77.0ms	(/ (+ z x) (* y (/ 1 (- z x))))

simplify2.1s

Counts

166 → 166

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	228	48331
1	595	40238
2	2665	35695
done	5001	35535

prune823.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	284
1	12	284
done	12	284

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.4s

13676×

body

valid