Details

sample58.0ms

Algorithm

intervals

Results

30.0ms

441×

body

valid

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	47
3	47
2	37
1	17
0	9

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y y) (* x (+ x (* y 2.0))))
0.0b	(* x (+ x (* y 2.0)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

15.0ms	(+ (* y y) (* x (+ x (* y 2.0))))
26.0ms	(* x (+ x (* y 2.0)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* y y) (* x (+ x (* y 2.0))))
46.0ms	(* x (+ x (* y 2.0)))

simplify603.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
2	1408
1	247
0	71

prune218.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (pow y 2) (* x x))
0.0b	(+ (* y (* x 2.0)) (+ (pow y 2) (* x x)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
1×	`associate-+r+`

Counts

2 → 24

Calls

2 calls:

19.0ms	(+ (pow y 2) (* x x))
37.0ms	(+ (* y (* x 2.0)) (+ (pow y 2) (* x x)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (pow y 2) (* x x))
39.0ms	(+ (* y (* x 2.0)) (+ (pow y 2) (* x x)))

simplify757.0ms

Counts

30 → 30

Iterations

Iter	Nodes
done	5000
2	1269
1	210
0	57

prune108.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y (+ y (* 2.0 x))))
0.0b	(* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
6.5b	(sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))
6.5b	(sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-+r+` `associate-l/` `associate-r/`
1×	`pow2` `distribute-rgt-in` `+-commutative` `sum-log` `rem-square-sqrt` `distribute-lft-in` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

10.0ms	(+ (* x x) (* y (+ y (* 2.0 x))))
69.0ms	(* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
13.0ms	(sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))
13.0ms	(sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))

series268.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (* x x) (* y (+ y (* 2.0 x))))
46.0ms	(* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
90.0ms	(sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))
89.0ms	(sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))

simplify762.0ms

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	1369
1	265
0	104

prune507.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
6.5b	(sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
6.5b	(sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
6.5b	(sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

75×	`sqrt-prod`
52×	`add-sqr-sqrt`
35×	`sqrt-pow1`
30×	`pow1` `sqrt-div`
19×	`*-un-lft-identity` `pow1/2` `add-cube-cbrt`
15×	`swap-sqr`
9×	`flip3-+` `associate-r` `associate-l` `pow-prod-up` `flip-+` `unswap-sqr`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times` `add-log-exp`
3×	`rem-sqrt-square`
2×	`associate-l/` `associate-r/`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 128

Calls

4 calls:

98.0ms	(* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
22.0ms	(sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
22.0ms	(sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
13.0ms	(sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))

series339.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
91.0ms	(sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
78.0ms	(sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
70.0ms	(sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))

simplify710.0ms

Counts

140 → 140

Iterations

Iter	Nodes
done	5001
2	1271
1	301
0	145

prune732.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

920.0ms

14079×

body

valid