Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

353×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	6	5
2	10	5
done	10	5

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* y y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`add-sqr-sqrt`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--` `difference-of-squares`

Counts

1 → 13

Calls

1 calls:

5.0ms

(- x (* y y))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(- x (* y y))

simplify3.1s

Counts

16 → 16

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	32	140
1	75	135
2	177	119
3	399	117
4	986	117
5	3230	117
done	5001	117

prune46.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y y))
1.9b	(- (* x x) (pow y 4))
28.8b	(/ (- (* x x) (pow y 4)) (+ x (* y y)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`times-frac`
15×	`difference-of-squares`
14×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-log-exp`
6×	`associate-/l*`
5×	`add-exp-log` `unpow-prod-down` `add-cbrt-cube` `sqr-pow`
3×	`pow1` `associate-/r*`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 70

Calls

3 calls:

6.0ms	(+ x (* y y))
13.0ms	(- (* x x) (pow y 4))
56.0ms	(/ (- (* x x) (pow y 4)) (+ x (* y y)))

series247.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ x (* y y))
80.0ms	(- (* x x) (pow y 4))
132.0ms	(/ (- (* x x) (pow y 4)) (+ x (* y y)))

simplify2.8s

Counts

79 → 79

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	128	1314
1	322	1249
2	1029	1161
3	3771	1034
done	5001	1034

prune212.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y y) x)
0.2b	(* (/ (+ (* y y) x) (sqrt (+ x (* y y)))) (/ (- x (* y y)) (sqrt (+ x (* y y)))))
0.2b	(/ (+ (* y y) x) (sqrt (+ x (* y y))))
0.2b	(/ (- x (* y y)) (sqrt (+ x (* y y))))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

107×	`add-sqr-sqrt`
96×	`times-frac`
64×	`add-cube-cbrt` `*-un-lft-identity`
54×	`sqrt-prod`
30×	`associate-r`
24×	`associate-l`
20×	`add-exp-log` `add-cbrt-cube`
13×	`difference-of-squares`
12×	`associate-/r*`
9×	`unswap-sqr`
8×	`sqrt-div` `associate-/r/`
7×	`associate-/l*`
6×	`pow1` `cbrt-undiv` `flip3-+` `div-exp` `flip-+` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `frac-times` `flip3--` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `*-commutative` `flip--`

Counts

4 → 188

Calls

4 calls:

16.0ms	(+ (* y y) x)
144.0ms	(* (/ (+ (* y y) x) (sqrt (+ x (* y y)))) (/ (- x (* y y)) (sqrt (+ x (* y y)))))
51.0ms	(/ (+ (* y y) x) (sqrt (+ x (* y y))))
21.0ms	(/ (- x (* y y)) (sqrt (+ x (* y y))))

series409.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* y y) x)
46.0ms	(* (/ (+ (* y y) x) (sqrt (+ x (* y y)))) (/ (- x (* y y)) (sqrt (+ x (* y y)))))
68.0ms	(/ (+ (* y y) x) (sqrt (+ x (* y y))))
252.0ms	(/ (- x (* y y)) (sqrt (+ x (* y y))))

simplify2.6s

Counts

200 → 200

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	256	4947
1	704	4691
2	2422	4050
done	5001	3461

prune670.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
done	4	5

end0.0ms

sample807.0ms

Algorithm

intervals

Results

375.0ms

10652×

body

valid