Details

sample45.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
9.0ms	256×	pre	80	true

simplify1.8s

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize42.0ms

Local error

Found 3 expressions with local error:

20.8b	(/ (* y y) (+ (* y y) (* x x)))
13.7b	(/ (* x x) (+ (* y y) (* x x)))
0.0b	(- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log`
10×	`times-frac`
9×	`*-un-lft-identity`
8×	`associate-/r/`
7×	`add-cube-cbrt`
6×	`associate-/r*`
5×	`add-log-exp`
4×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv` `difference-of-squares`
3×	`pow1` `distribute-rgt-out--` `insert-posit16`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `associate-/l*`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `distribute-lft-out--` `sub-div`

Counts

3 → 71

Calls

3 calls:

Slowest

58.0ms	(- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))
20.0ms	(/ (* y y) (+ (* y y) (* x x)))
13.0ms	(/ (* x x) (+ (* y y) (* x x)))

series218.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

88.0ms	(- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))
69.0ms	(/ (* x x) (+ (* y y) (* x x)))
61.0ms	(/ (* y y) (+ (* y y) (* x x)))

simplify1.4s

Counts: 80 → 80

prune748.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize38.0ms

Local error

Found 4 expressions with local error:

20.8b	(/ (* y y) (+ (* y y) (* x x)))
13.7b	(/ (* x x) (+ (* y y) (* x x)))
0.3b	(log (exp (/ (* y y) (+ (* y y) (* x x)))))
0.0b	(- (/ (* x x) (+ (* y y) (* x x))) (log (exp (/ (* y y) (+ (* y y) (* x x))))))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`add-cbrt-cube` `add-exp-log`
12×	`add-cube-cbrt`
11×	`log-pow`
10×	`times-frac`
9×	`exp-prod`
6×	`pow1` `log-prod` `associate-/r*` `associate-/r/`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `insert-posit16`
3×	`flip3-+` `flip-+` `div-inv` `associate--r+`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 90

Calls

4 calls:

Slowest

107.0ms	(- (/ (* x x) (+ (* y y) (* x x))) (log (exp (/ (* y y) (+ (* y y) (* x x))))))
34.0ms	(log (exp (/ (* y y) (+ (* y y) (* x x)))))
32.0ms	(/ (* x x) (+ (* y y) (* x x)))
13.0ms	(/ (* y y) (+ (* y y) (* x x)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

77.0ms	(/ (* y y) (+ (* y y) (* x x)))
77.0ms	(log (exp (/ (* y y) (+ (* y y) (* x x)))))
73.0ms	(- (/ (* x x) (+ (* y y) (* x x))) (log (exp (/ (* y y) (+ (* y y) (* x x))))))
69.0ms	(/ (* x x) (+ (* y y) (* x x)))

simplify1.4s

Counts: 102 → 102

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize64.0ms

Local error

Found 4 expressions with local error:

20.6b	(/ (+ (* y y) (* x x)) (* y y))
13.7b	(/ (* x x) (+ (* y y) (* x x)))
0.3b	(log (exp (/ 1 (/ (+ (* y y) (* x x)) (* y y)))))
0.2b	(/ 1 (/ (+ (* y y) (* x x)) (* y y)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

69×	`times-frac`
39×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
35×	`add-exp-log`
27×	`log-pow`
26×	`exp-prod`
23×	`add-cbrt-cube`
16×	`div-exp`
11×	`associate-/r*` `div-inv`
9×	`cbrt-undiv`
7×	`associate-/l*`
6×	`pow1`
5×	`prod-exp`
4×	`associate-/r/` `insert-posit16` `add-log-exp`
3×	`rec-exp` `log-prod` `clear-num` `frac-2neg` `1-exp` `cbrt-unprod`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`rem-log-exp` `pow-flip` `inv-pow`

Counts

4 → 144

Calls

4 calls:

Slowest

47.0ms	(/ (+ (* y y) (* x x)) (* y y))
36.0ms	(log (exp (/ 1 (/ (+ (* y y) (* x x)) (* y y)))))
28.0ms	(/ (* x x) (+ (* y y) (* x x)))
15.0ms	(/ 1 (/ (+ (* y y) (* x x)) (* y y)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

86.0ms	(/ (+ (* y y) (* x x)) (* y y))
66.0ms	(/ 1 (/ (+ (* y y) (* x x)) (* y y)))
58.0ms	(/ (* x x) (+ (* y y) (* x x)))
54.0ms	(log (exp (/ 1 (/ (+ (* y y) (* x x)) (* y y)))))

simplify632.0ms

Counts: 156 → 156

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize1.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts: 0 → 0

prune1.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

regimes157.0ms

Accuracy

75.1% (4.8b remaining)

Error of 5.3b against oracle of 0.5b and baseline of 19.6b

bsearch276.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.0s	8000×	body	80	valid
356.0ms	8000×	pre	80	true