Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

370×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	36	3
2	58	3
3	60	3
4	60	3
done	60	3

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

32.0ms	(* (* x (+ x y)) 2.0)
18.0ms	(* x (+ x y))

series69.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* (* x (+ x y)) 2.0)
27.0ms	(* x (+ x y))

simplify38.0ms

Counts

49 → 49

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	201	193
1	1117	164
2	5002	164
done	5002	164

prune67.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

28.0ms

(* x (* (+ x y) 2.0))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* x (* (+ x y) 2.0))

simplify87.0ms

Counts

23 → 23

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	148	106
1	591	87
2	3220	87
3	5002	87
done	5002	87

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ x y))) (cbrt (* x (+ x y))))
6.3b	(cbrt (* x (+ x y)))
6.3b	(cbrt (* x (+ x y)))
6.3b	(cbrt (* x (+ x y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

21.0ms	(* (cbrt (* x (+ x y))) (cbrt (* x (+ x y))))
6.0ms	(cbrt (* x (+ x y)))
6.0ms	(cbrt (* x (+ x y)))
7.0ms	(cbrt (* x (+ x y)))

series716.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt (* x (+ x y))) (cbrt (* x (+ x y))))
174.0ms	(cbrt (* x (+ x y)))
171.0ms	(cbrt (* x (+ x y)))
174.0ms	(cbrt (* x (+ x y)))

simplify56.0ms

Counts

84 → 84

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	189	541
1	573	489
2	1892	450
3	5001	443
done	5001	443

prune197.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* y y))
7.1b	(* x (- (* x x) (* y y)))
18.2b	(/ (* (* x (- (* x x) (* y y))) 2.0) (- x y))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

7.0ms	(- (* x x) (* y y))
26.0ms	(* x (- (* x x) (* y y)))
47.0ms	(/ (* (* x (- (* x x) (* y y))) 2.0) (- x y))

series198.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (* x x) (* y y))
72.0ms	(* x (- (* x x) (* y y)))
96.0ms	(/ (* (* x (- (* x x) (* y y))) 2.0) (- x y))

simplify54.0ms

Counts

78 → 78

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	351	557
1	1945	470
2	5001	470
done	5001	470

prune121.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes27.0ms

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	9	3
1	9	3
done	9	3

end0.0ms

sample452.0ms

Algorithm

intervals

Results

228.0ms

11226×

body

valid