Details

sample35.0ms

Algorithm

intervals

Results

20.0ms

451×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 7 (384.0ms)

Iter	Nodes	Cost
0	11	284
1	22	284
2	53	284
3	98	284
4	162	284
5	259	284
6	494	284
7	1273	244
8	4325	244
done	5023	244

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (/ (- (* z z) (* x x)) y))
1.6b	(- (* z z) (* x x))
15.7b	(/ (- (* z z) (* x x)) y)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

31.0ms	(- y (/ (- (* z z) (* x x)) y))
12.0ms	(- (* z z) (* x x))
31.0ms	(/ (- (* z z) (* x x)) y)

series192.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- y (/ (- (* z z) (* x x)) y))
56.0ms	(- (* z z) (* x x))
88.0ms	(/ (- (* z z) (* x x)) y)

simplify2.9s

Counts

72 → 72

Iterations

Useful iterations: 2 (249.0ms)

Iter	Nodes	Cost
0	115	23078
1	293	18993
2	838	18833
3	3890	18833
done	5061	18833

prune403.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

177×	`times-frac`
164×	`*-un-lft-identity`
127×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
26×	`associate-/r*`
22×	`distribute-lft-out` `difference-of-squares`
20×	`distribute-lft-out--`
13×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
7×	`flip3--` `div-inv` `flip--` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

3 → 179

Calls

3 calls:

93.0ms	(- y (/ (+ z x) (/ y (- z x))))
11.0ms	(/ y (- z x))
24.0ms	(/ (+ z x) (/ y (- z x)))

series232.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(- y (/ (+ z x) (/ y (- z x))))
54.0ms	(/ y (- z x))
100.0ms	(/ (+ z x) (/ y (- z x)))

simplify2.6s

Counts

188 → 188

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	254	72188
1	667	64530
2	2401	62905
done	5003	62498

prune919.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

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

Counts

3 → 93

Calls

3 calls:

6.0ms	(- y (* (+ z x) (/ (- z x) y)))
26.0ms	(/ (- z x) y)
31.0ms	(* (+ z x) (/ (- z x) y))

series159.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- y (* (+ z x) (/ (- z x) y)))
34.0ms	(/ (- z x) y)
58.0ms	(* (+ z x) (/ (- z x) y))

simplify1.9s

Counts

102 → 102

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	150	27557
1	402	23488
2	1340	23004
done	5001	22804

prune555.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite396.0ms

Algorithm

rewrite-expression-head

Rules

1032×	`times-frac`
756×	`*-un-lft-identity`
561×	`add-sqr-sqrt`
404×	`add-cube-cbrt`
106×	`distribute-lft-out`
99×	`associate-/r*`
74×	`difference-of-squares`
69×	`distribute-lft-out--`
55×	`associate-/r/`
32×	`add-exp-log`
29×	`div-inv`
27×	`associate-/l*`
23×	`flip3--` `flip--`
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×	`sub-neg` `diff-log` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 572

Calls

4 calls:

205.0ms	(- y (/ 1 (/ (/ y (- z x)) (+ z x))))
17.0ms	(/ y (- z x))
51.0ms	(/ (/ y (- z x)) (+ z x))
67.0ms	(/ 1 (/ (/ y (- z x)) (+ z x)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- y (/ 1 (/ (/ y (- z x)) (+ z x))))
44.0ms	(/ y (- z x))
58.0ms	(/ (/ y (- z x)) (+ z x))
94.0ms	(/ 1 (/ (/ y (- z x)) (+ z x)))

simplify4.2s

Counts

584 → 584

Iterations

Useful iterations: 2 (2.7s)

Iter	Nodes	Cost
0	632	298413
1	1734	241831
2	4370	234636
done	5009	234636

prune2.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes230.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	244
1	11	244
done	11	244

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.6s

13794×

body

valid