Details

sample41.0ms

Algorithm

intervals

Results

21.0ms

416×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

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)))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
184×	`*-un-lft-identity`
175×	`add-sqr-sqrt`
92×	`add-cube-cbrt`
34×	`difference-of-squares`
25×	`associate-/r*`
24×	`distribute-lft-out--`
22×	`distribute-lft-out`
15×	`associate-/r/` `associate-/l*`
13×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv`
7×	`flip3-+` `flip-+`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/l/`
3×	`clear-num` `frac-2neg` `flip3--` `div-sub` `flip--`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

4 → 227

Calls

4 calls:

50.0ms	(- y (/ (- z x) (/ y (+ z x))))
9.0ms	(/ y (+ z x))
173.0ms	(/ (- y (/ (- z x) (/ y (+ z x)))) 2.0)
40.0ms	(/ (- z x) (/ y (+ z x)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- y (/ (- z x) (/ y (+ z x))))
31.0ms	(/ y (+ z x))
82.0ms	(/ (- y (/ (- z x) (/ y (+ z x)))) 2.0)
76.0ms	(/ (- z x) (/ y (+ z x)))

simplify845.0ms

Counts

239 → 239

Iterations

Iter	Nodes
done	5001
1	972
0	330

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

6.0ms	(- y (* (/ (- z x) y) (+ z x)))
13.0ms	(/ (- z x) y)
12.0ms	(/ (- y (* (/ (- z x) y) (+ z x))) 2.0)
35.0ms	(* (/ (- z x) y) (+ z x))

series252.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- y (* (/ (- z x) y) (+ z x)))
41.0ms	(/ (- z x) y)
76.0ms	(/ (- y (* (/ (- z x) y) (+ z x))) 2.0)
75.0ms	(* (/ (- z x) y) (+ z x))

simplify1.6s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
2	3457
1	651
0	207

prune651.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite579.0ms

Algorithm

rewrite-expression-head

Rules

979×	`times-frac`
636×	`*-un-lft-identity`
592×	`add-sqr-sqrt`
370×	`add-cube-cbrt`
89×	`difference-of-squares`
65×	`distribute-lft-out--`
64×	`distribute-lft-out`
43×	`associate-/r/` `div-inv`
38×	`associate-/l*`
34×	`add-exp-log`
28×	`associate-/r*`
22×	`add-cbrt-cube`
21×	`flip3-+` `flip-+`
20×	`div-exp`
11×	`cbrt-undiv`
5×	`pow1` `associate-/l/`
4×	`clear-num` `frac-2neg` `div-sub` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`flip3--` `flip--`
1×	`pow-flip` `inv-pow`

Counts

4 → 541

Calls

4 calls:

12.0ms	(/ (- z x) y)
10.0ms	(/ 1 (+ z x))
458.0ms	(/ (- y (/ (/ (- z x) y) (/ 1 (+ z x)))) 2.0)
58.0ms	(/ (/ (- z x) y) (/ 1 (+ z x)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (- z x) y)
50.0ms	(/ 1 (+ z x))
73.0ms	(/ (- y (/ (/ (- z x) y) (/ 1 (+ z x)))) 2.0)
62.0ms	(/ (/ (- z x) y) (/ 1 (+ z x)))

simplify1.5s

Counts

553 → 553

Iterations

Iter	Nodes
done	5000
1	2372
0	718

prune2.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z x))
0.2b	(/ (- y (/ 1 (/ (/ y (+ z x)) (- z x)))) 2.0)
0.3b	(/ (/ y (+ z x)) (- z x))
0.4b	(/ 1 (/ (/ y (+ z x)) (- z x)))

rewrite610.0ms

Algorithm

rewrite-expression-head

Rules

1146×	`times-frac`
800×	`*-un-lft-identity`
704×	`add-sqr-sqrt`
430×	`add-cube-cbrt`
119×	`difference-of-squares`
108×	`associate-/r*`
99×	`distribute-lft-out--`
82×	`distribute-lft-out`
65×	`associate-/r/`
38×	`div-inv`
36×	`associate-/l*`
34×	`add-exp-log`
27×	`flip3-+` `flip-+`
22×	`add-cbrt-cube`
20×	`div-exp`
11×	`cbrt-undiv`
6×	`flip3--` `flip--`
5×	`pow1`
4×	`clear-num` `frac-2neg` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-/l/`
1×	`div-sub` `pow-flip` `inv-pow`

Counts

4 → 641

Calls

4 calls:

9.0ms	(/ y (+ z x))
462.0ms	(/ (- y (/ 1 (/ (/ y (+ z x)) (- z x)))) 2.0)
40.0ms	(/ (/ y (+ z x)) (- z x))
42.0ms	(/ 1 (/ (/ y (+ z x)) (- z x)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ y (+ z x))
76.0ms	(/ (- y (/ 1 (/ (/ y (+ z x)) (- z x)))) 2.0)
53.0ms	(/ (/ y (+ z x)) (- z x))
86.0ms	(/ 1 (/ (/ y (+ z x)) (- z x)))

simplify2.3s

Counts

653 → 653

Iterations

Iter	Nodes
done	5000
1	2200
0	756

prune3.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes268.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.2s

13676×

body

valid