Details

sample44.0ms

Algorithm

intervals

Results

24.0ms

434×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5023
8	4325
7	1273
6	494
5	259
4	162
3	98
2	53
1	22
0	11

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
163×	`*-un-lft-identity`
117×	`add-sqr-sqrt`
79×	`add-cube-cbrt`
23×	`distribute-lft-out`
22×	`associate-/r*`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`clear-num` `frac-2neg` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3--` `flip--`

Counts

3 → 177

Calls

3 calls:

13.0ms	(/ y (+ z x))
72.0ms	(+ y (/ (- x z) (/ y (+ z x))))
29.0ms	(/ (- x z) (/ y (+ z x)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ y (+ z x))
62.0ms	(+ y (/ (- x z) (/ y (+ z x))))
69.0ms	(/ (- x z) (/ y (+ z x)))

simplify1.7s

Counts

186 → 186

Iterations

Iter	Nodes
done	5000
2	2725
1	780
0	255

prune766.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

11.0ms	(+ y (* (/ (- x z) y) (+ z x)))
17.0ms	(/ (- x z) y)
48.0ms	(* (/ (- x z) y) (+ z x))

series144.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ y (* (/ (- x z) y) (+ z x)))
30.0ms	(/ (- x z) y)
64.0ms	(* (/ (- x z) y) (+ z x))

simplify1.5s

Counts

105 → 105

Iterations

Iter	Nodes
done	5003
2	1779
1	531
0	159

prune509.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

1062×	`times-frac`
762×	`*-un-lft-identity`
595×	`add-sqr-sqrt`
413×	`add-cube-cbrt`
105×	`associate-/r*`
91×	`distribute-lft-out--` `difference-of-squares`
84×	`distribute-lft-out`
65×	`associate-/r/`
34×	`div-inv`
32×	`add-exp-log`
28×	`flip3-+` `flip-+`
24×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1` `flip3--` `flip--`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`+-commutative` `sum-log` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 588

Calls

4 calls:

13.0ms	(/ y (+ z x))
155.0ms	(+ y (/ 1 (/ (/ y (+ z x)) (- x z))))
36.0ms	(/ (/ y (+ z x)) (- x z))
52.0ms	(/ 1 (/ (/ y (+ z x)) (- x z)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ y (+ z x))
56.0ms	(+ y (/ 1 (/ (/ y (+ z x)) (- x z))))
65.0ms	(/ (/ y (+ z x)) (- x z))
103.0ms	(/ 1 (/ (/ y (+ z x)) (- x z)))

simplify2.3s

Counts

600 → 600

Iterations

Iter	Nodes
done	5000
1	1897
0	658

prune2.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

894×	`times-frac`
606×	`*-un-lft-identity`
476×	`add-sqr-sqrt`
354×	`add-cube-cbrt`
65×	`distribute-lft-out`
61×	`distribute-lft-out--` `difference-of-squares`
43×	`associate-/r/`
42×	`div-inv`
32×	`add-exp-log`
27×	`associate-/l*`
25×	`associate-/r*`
22×	`flip3-+` `flip-+`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1` `div-sub`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3--` `pow-flip` `flip--` `inv-pow`

Counts

4 → 492

Calls

4 calls:

112.0ms	(+ y (/ (/ (- x z) y) (/ 1 (+ z x))))
9.0ms	(/ 1 (+ z x))
12.0ms	(/ (- x z) y)
41.0ms	(/ (/ (- x z) y) (/ 1 (+ z x)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ y (/ (/ (- x z) y) (/ 1 (+ z x))))
57.0ms	(/ 1 (+ z x))
44.0ms	(/ (- x z) y)
67.0ms	(/ (/ (- x z) y) (/ 1 (+ z x)))

simplify1.4s

Counts

504 → 504

Iterations

Iter	Nodes
done	5000
1	1969
0	618

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes241.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s

13772×

body

valid