Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

284×

body

valid

simplify289.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	30	9
3	61	9
4	104	9
5	164	9
6	241	9
7	299	9
8	335	9
9	348	9
done	348	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.2b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite55.0ms

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×	`flip3--` `*-commutative` `flip--` `add-log-exp` `difference-of-squares`
1×	`times-frac` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

24.0ms	(* (- x (/ 16.0 116.0)) 3.0)
30.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series80.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* (- x (/ 16.0 116.0)) 3.0)
39.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.5s

Counts

49 → 49

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	84	540
1	198	532
2	700	444
3	2783	444
done	5000	444

prune89.0ms

Pruning

7 alts after pruning (6 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))

rewrite31.0ms

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×	`flip3--` `times-frac` `associate-r` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

30.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify974.0ms

Counts

26 → 26

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	62	322
1	162	319
2	523	259
3	1922	259
done	5000	259

prune51.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b	(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
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×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
8.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
7.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
11.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))

series560.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
129.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
127.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
174.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))

simplify471.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	172	1778
1	415	1615
2	1418	1475
done	5000	1475

prune271.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series900.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt y) (cbrt y))
169.0ms	(cbrt y)
354.0ms	(cbrt y)
183.0ms	(cbrt y)

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: 3 (319.0ms)

Iter	Nodes	Cost
0	61	524
1	115	417
2	381	397
3	1865	379
done	5000	379

prune182.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes151.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample340.0ms

Algorithm

intervals

Results

199.0ms

9094×

body

valid