Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

283×

body

valid

simplify401.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	30	9
3	63	9
4	118	9
5	186	9
6	272	9
7	335	9
8	378	9
9	396	9
10	399	9
done	399	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)

rewrite57.0ms

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:

23.0ms	(* (- x (/ 16.0 116.0)) 3.0)
32.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series89.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* (- x (/ 16.0 116.0)) 3.0)
43.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.6s

Counts

53 → 53

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	88	576
1	205	568
2	712	480
3	2809	480
done	5000	480

prune120.0ms

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))

rewrite27.0ms

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:

26.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify990.0ms

Counts

28 → 28

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	64	342
1	166	339
2	532	279
3	1941	279
done	5000	279

prune68.0ms

Pruning

9 alts after pruning (7 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	(* (* (* (- 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))

rewrite184.0ms

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:

24.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
120.0ms	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
37.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

series631.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
404.0ms	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
136.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

simplify2.9s

Counts

88 → 88

Iterations

Useful iterations: 2 (159.0ms)

Iter	Nodes	Cost
0	124	1286
1	309	975
2	1127	821
3	4550	821
done	5000	821

prune168.0ms

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-l`
11×	`*-un-lft-identity`
10×	`associate-r` `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:

25.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
5.0ms	(* (sqrt 3.0) y)
41.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (sqrt 3.0) y))

series297.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
45.0ms	(* (sqrt 3.0) y)
163.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (sqrt 3.0) y))

simplify2.9s

Counts

88 → 88

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	121	1076
1	288	873
2	1017	735
3	4620	735
done	5000	735

prune166.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes167.0ms

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

sample363.0ms

Algorithm

intervals

Results

209.0ms

9119×

body

valid