Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

357×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	20
2	20
1	14
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* y y))
2.2b	(* x (+ 1.0 (* y y)))

rewrite35.0ms

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×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

7.0ms	(+ 1.0 (* y y))
27.0ms	(* x (+ 1.0 (* y y)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ 1.0 (* y y))
70.0ms	(* x (+ 1.0 (* y y)))

simplify2.3s

Counts

39 → 39

Iterations

Iter	Nodes
done	5030
3	3455
2	628
1	174
0	59

prune200.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.2b

localize8.0ms

Local error

Found 1 expressions with local error:

6.7b	(* x (* y y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-un-lft-identity` `add-cube-cbrt`
1×	`associate-r` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

27.0ms

(* x (* y y))

series52.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(* x (* y y))

simplify2.6s

Counts

22 → 22

Iterations

Iter	Nodes
done	5000
3	1257
2	278
1	88
0	34

prune110.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

13.0ms

(* (* x y) y)

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* (* x y) y)

simplify5.3s

Counts

21 → 21

Iterations

Iter	Nodes
done	5001
4	4819
3	1268
2	321
1	99
0	36

prune79.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
23.2b	(cbrt (* (* x y) y))
23.2b	(cbrt (* (* x y) y))
23.2b	(cbrt (* (* x y) y))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

40.0ms	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
10.0ms	(cbrt (* (* x y) y))
9.0ms	(cbrt (* (* x y) y))
10.0ms	(cbrt (* (* x y) y))

series616.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
157.0ms	(cbrt (* (* x y) y))
140.0ms	(cbrt (* (* x y) y))
145.0ms	(cbrt (* (* x y) y))

simplify3.3s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
4	4455
3	1280
2	534
1	216
0	86

prune349.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes171.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	7

end0.0ms

sample740.0ms

Algorithm

intervals

Results

408.0ms

10744×

body

valid