Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

408×

body

valid

simplify601.0ms

Counts

1 → 1

Iterations

Useful iterations: 7 (201.0ms)

Iter	Nodes	Cost
0	11	15
1	22	15
2	54	15
3	97	15
4	170	15
5	310	15
6	624	15
7	1545	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	(+ (/ (- (* x x) (* z z)) y) y)
1.9b	(- (* x x) (* z z))
11.4b	(/ (- (* x x) (* z z)) y)

rewrite30.0ms

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-+l-` `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:

19.0ms	(+ (/ (- (* x x) (* z z)) y) y)
2.0ms	(- (* x x) (* z z))
7.0ms	(/ (- (* x x) (* z z)) y)

series124.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (/ (- (* x x) (* z z)) y) y)
30.0ms	(- (* x x) (* z z))
50.0ms	(/ (- (* x x) (* z z)) y)

simplify390.0ms

Counts

69 → 69

Iterations

Useful iterations: done (388.0ms)

Iter	Nodes	Cost
0	110	1000
1	284	945
2	1112	873
done	5000	865

prune162.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

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:

74.0ms	(+ (/ (+ x z) (/ y (- x z))) y)
5.0ms	(/ y (- x z))
15.0ms	(/ (+ x z) (/ y (- x z)))

series123.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (/ (+ x z) (/ y (- x z))) y)
33.0ms	(/ y (- x z))
49.0ms	(/ (+ x z) (/ y (- x z)))

simplify995.0ms

Counts

184 → 184

Iterations

Useful iterations: 2 (392.0ms)

Iter	Nodes	Cost
0	247	3119
1	585	2914
2	2696	2814
done	5000	2814

prune382.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

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:

8.0ms	(+ (* (+ z x) (/ (- x z) y)) y)
7.0ms	(/ (- x z) y)
22.0ms	(* (+ z x) (/ (- x z) y))

series121.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (* (+ z x) (/ (- x z) y)) y)
25.0ms	(/ (- x z) y)
52.0ms	(* (+ z x) (/ (- x z) y))

simplify602.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (122.0ms)

Iter	Nodes	Cost
0	152	1254
1	394	1179
2	1749	1105
done	5000	1105

prune219.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite260.0ms

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:

186.0ms	(+ (/ (/ (+ x z) y) (/ 1 (- x z))) y)
8.0ms	(/ (+ x z) y)
5.0ms	(/ 1 (- x z))
24.0ms	(/ (/ (+ x z) y) (/ 1 (- x z)))

series153.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (/ (/ (+ x z) y) (/ 1 (- x z))) y)
19.0ms	(/ (+ x z) y)
34.0ms	(/ 1 (- x z))
56.0ms	(/ (/ (+ x z) y) (/ 1 (- x z)))

simplify576.0ms

Counts

495 → 495

Iterations

Useful iterations: done (559.0ms)

Iter	Nodes	Cost
0	605	11545
1	1765	10120
done	5000	9312

prune649.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes113.0ms

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

sample726.0ms

Algorithm

intervals

Results

449.0ms

13727×

body

valid