Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

408×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 7 (276.0ms)

Iter	Nodes	Cost
0	11	15
1	22	15
2	54	15
3	97	15
4	170	15
5	309	15
6	613	15
7	1344	13
8	4214	13
done	5000	13

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ (- (* x x) (* z z)) y))
1.9b	(- (* x x) (* z z))
11.4b	(/ (- (* x x) (* z z)) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

11.0ms	(+ y (/ (- (* x x) (* z z)) y))
3.0ms	(- (* x x) (* z z))
12.0ms	(/ (- (* x x) (* z z)) y)

series118.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ y (/ (- (* x x) (* z z)) y))
33.0ms	(- (* x x) (* z z))
47.0ms	(/ (- (* x x) (* z z)) y)

simplify1.8s

Counts

69 → 69

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	110	1000
1	285	937
2	934	865
3	4633	865
done	5000	865

prune166.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
164×	`*-un-lft-identity`
118×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
26×	`associate-/r*`
23×	`distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv` `associate-/l*`
6×	`flip3--` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 175

Calls

3 calls:

44.0ms	(+ y (/ (+ x z) (/ y (- x z))))
5.0ms	(/ y (- x z))
16.0ms	(/ (+ x z) (/ y (- x z)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ y (/ (+ x z) (/ y (- x z))))
29.0ms	(/ y (- x z))
52.0ms	(/ (+ x z) (/ y (- x z)))

simplify767.0ms

Counts

184 → 184

Iterations

Useful iterations: done (761.0ms)

Iter	Nodes	Cost
0	247	3119
1	576	2906
2	2088	2806
done	5000	2802

prune385.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

3.0ms	(+ y (* (+ z x) (/ (- x z) y)))
7.0ms	(/ (- x z) y)
23.0ms	(* (+ z x) (/ (- x z) y))

series117.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ y (* (+ z x) (/ (- x z) y)))
26.0ms	(/ (- x z) y)
52.0ms	(* (+ z x) (/ (- x z) y))

simplify679.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (227.0ms)

Iter	Nodes	Cost
0	152	1254
1	391	1171
2	1488	1097
done	5000	1097

prune214.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

882×	`times-frac`
604×	`*-un-lft-identity`
462×	`add-sqr-sqrt`
352×	`add-cube-cbrt`
71×	`distribute-lft-out`
55×	`distribute-lft-out--` `difference-of-squares`
42×	`div-inv`
37×	`associate-/r/`
32×	`add-exp-log`
29×	`associate-/r*`
23×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
2×	`flip3-+` `flip-+`
1×	`+-commutative` `pow-flip` `sum-log` `inv-pow`

Counts

4 → 483

Calls

4 calls:

116.0ms	(+ y (/ (/ (+ x z) y) (/ 1 (- x z))))
8.0ms	(/ (+ x z) y)
6.0ms	(/ 1 (- x z))
28.0ms	(/ (/ (+ x z) y) (/ 1 (- x z)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ y (/ (/ (+ x z) y) (/ 1 (- x z))))
21.0ms	(/ (+ x z) y)
34.0ms	(/ 1 (- x z))
56.0ms	(/ (/ (+ x z) y) (/ 1 (- x z)))

simplify2.7s

Counts

495 → 495

Iterations

Useful iterations: 2 (1.7s)

Iter	Nodes	Cost
0	605	11545
1	1757	9452
2	4790	8804
done	5000	8804

prune632.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes115.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	12	13
done	12	13

end0.0ms

sample732.0ms

Algorithm

intervals

Results

450.0ms

13727×

body

valid