Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

342×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	7	5
2	10	5
done	10	5

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

24.0ms

(* (* x 3.0) x)

series48.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* (* x 3.0) x)

simplify5.0s

Counts

23 → 23

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	39	169
1	94	164
2	314	134
3	654	134
4	983	133
5	2724	133
done	5001	133

prune78.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3.0 (pow x 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

26.0ms

(* 3.0 (pow x 2))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* 3.0 (pow x 2))

simplify4.0s

Counts

32 → 32

Iterations

Useful iterations: 4 (1.8s)

Iter	Nodes	Cost
0	53	244
1	109	221
2	237	188
3	672	188
4	3356	185
done	5001	185

prune91.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt 3.0) (* (sqrt 3.0) (pow x 2)))
0.3b	(* (sqrt 3.0) (pow x 2))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`add-exp-log`
12×	`associate-l`
10×	`prod-exp` `sqrt-prod`
9×	`associate-r` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity` `unswap-sqr`
5×	`unpow-prod-down`
4×	`pow1` `cbrt-unprod`
3×	`unpow2` `sqr-pow`
2×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 60

Calls

2 calls:

57.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (pow x 2)))
18.0ms	(* (sqrt 3.0) (pow x 2))

series183.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (pow x 2)))
81.0ms	(* (sqrt 3.0) (pow x 2))

simplify2.7s

Counts

66 → 66

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	78	685
1	170	526
2	521	457
3	1792	457
done	5001	448

prune149.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* x (cbrt (sqrt 3.0))))
0.2b	(* (sqrt 3.0) (* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* x (* x (cbrt (sqrt 3.0))))))
0.2b	(* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* x (* x (cbrt (sqrt 3.0)))))
1.0b	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

rewrite568.0ms

Algorithm

rewrite-expression-head

Rules

66×	`pow1`
61×	`add-exp-log`
42×	`pow-prod-down` `add-cbrt-cube`
41×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
40×	`cbrt-prod`
23×	`sqrt-prod`
19×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
12×	`associate-r`
11×	`swap-sqr`
9×	`unswap-sqr`
6×	`pow1/3`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 146

Calls

4 calls:

30.0ms	(* x (* x (cbrt (sqrt 3.0))))
352.0ms	(* (sqrt 3.0) (* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* x (* x (cbrt (sqrt 3.0))))))
137.0ms	(* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* x (* x (cbrt (sqrt 3.0)))))
42.0ms	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

series514.0ms

Counts

4 → 10

Calls

4 calls:

368.0ms	(* x (* x (cbrt (sqrt 3.0))))
88.0ms	(* (sqrt 3.0) (* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* x (* x (cbrt (sqrt 3.0))))))
58.0ms	(* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* x (* x (cbrt (sqrt 3.0)))))
0.0ms	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

simplify1.8s

Counts

156 → 156

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	147	2500
1	339	2300
2	1521	1515
done	5000	1144

prune303.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample629.0ms

Algorithm

intervals

Results

363.0ms

10698×

body

valid