Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

283×

body

valid

simplify434.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	30	9
3	64	9
4	119	9
5	187	9
6	273	9
7	338	9
8	381	9
9	400	9
10	403	9
done	403	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.4b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`-un-lft-identity` `associate-l*`
6×	`associate-r` `associate-*l/`
5×	`add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
1×	`times-frac` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

30.0ms	(* (- x (/ 16.0 116.0)) 3.0)
31.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series92.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (- x (/ 16.0 116.0)) 3.0)
42.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.0s

Counts

53 → 53

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	88	576
1	210	568
2	780	480
3	3372	480
done	5001	480

prune117.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
4×	`*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `associate-*l/` `difference-of-squares`
1×	`expm1-log1p-u` `flip3--` `times-frac` `associate-r` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

29.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

series42.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify756.0ms

Counts

28 → 28

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	64	342
1	166	339
2	535	279
3	1991	279
done	5000	279

prune66.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
0.4b	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
0.7b	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
15×	`associate-r`
12×	`associate-*l/`
11×	`*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt`
8×	`associate-l`
7×	`sqrt-prod`
3×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`difference-of-squares` `unswap-sqr`
1×	`times-frac` `distribute-lft-out--`

Counts

3 → 79

Calls

3 calls:

27.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
133.0ms	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
36.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

series362.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
153.0ms	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
124.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

simplify679.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	124	1286
1	317	979
2	1337	821
done	5001	821

prune178.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
0.4b	(* y (sqrt 3.0))
0.6b	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* y (sqrt 3.0)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-r`
11×	`*-un-lft-identity`
10×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt`
8×	`sqrt-prod`
6×	`associate-*l/`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `flip--` `difference-of-squares`
1×	`times-frac` `distribute-lft-out--`

Counts

3 → 79

Calls

3 calls:

28.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
5.0ms	(* y (sqrt 3.0))
43.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* y (sqrt 3.0)))

series285.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
44.0ms	(* y (sqrt 3.0))
156.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* y (sqrt 3.0)))

simplify603.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	119	1078
1	292	961
2	1198	735
done	5000	735

prune165.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	11	9
done	11	9

end0.0ms

sample364.0ms

Algorithm

intervals

Results

210.0ms

9119×

body

valid