Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

276×

body

valid

simplify837.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	31	9
3	72	9
4	156	9
5	247	9
6	335	9
7	411	9
8	459	9
9	474	9
10	475	9
done	475	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`associate-l`
6×	`add-cube-cbrt` `associate-r` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
3×	`flip3--` `flip--`
2×	`times-frac` `*-commutative` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 58

Calls

3 calls:

10.0ms	(- x (/ 16.0 116.0))
43.0ms	(* (- x (/ 16.0 116.0)) 3.0)
84.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series135.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- x (/ 16.0 116.0))
58.0ms	(* (- x (/ 16.0 116.0)) 3.0)
53.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.0s

Counts

67 → 67

Iterations

Useful iterations: 2 (245.0ms)

Iter	Nodes	Cost
0	98	701
1	231	688
2	1132	590
done	5002	590

prune224.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 3.0 x) 0.41379310344827586)
0.1b	(* (- (* 3.0 x) 0.41379310344827586) y)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

17.0ms	(- (* 3.0 x) 0.41379310344827586)
63.0ms	(* (- (* 3.0 x) 0.41379310344827586) y)

series118.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(- (* 3.0 x) 0.41379310344827586)
59.0ms	(* (- (* 3.0 x) 0.41379310344827586) y)

simplify5.6s

Counts

38 → 38

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	57	365
1	136	359
2	506	317
3	4910	313
done	5001	313

prune92.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

20.0ms	(- x (/ 16.0 116.0))
84.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

series77.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(- x (/ 16.0 116.0))
47.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.9s

Counts

44 → 44

Iterations

Useful iterations: 2 (120.0ms)

Iter	Nodes	Cost
0	76	483
1	187	475
2	595	405
3	2716	405
done	5001	405

prune111.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- (* 3.0 x) 0.41379310344827586))
0.3b	(cbrt (- (* 3.0 x) 0.41379310344827586))
0.3b	(cbrt (- (* 3.0 x) 0.41379310344827586))
0.3b	(* (* (cbrt (- (* 3.0 x) 0.41379310344827586)) (cbrt (- (* 3.0 x) 0.41379310344827586))) (* (cbrt (- (* 3.0 x) 0.41379310344827586)) y))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
16×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 87

Calls

4 calls:

8.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
6.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
6.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
201.0ms	(* (* (cbrt (- (* 3.0 x) 0.41379310344827586)) (cbrt (- (* 3.0 x) 0.41379310344827586))) (* (cbrt (- (* 3.0 x) 0.41379310344827586)) y))

series608.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
192.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
137.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
112.0ms	(* (* (cbrt (- (* 3.0 x) 0.41379310344827586)) (cbrt (- (* 3.0 x) 0.41379310344827586))) (* (cbrt (- (* 3.0 x) 0.41379310344827586)) y))

simplify770.0ms

Counts

99 → 99

Iterations

Useful iterations: done (764.0ms)

Iter	Nodes	Cost
0	178	3007
1	508	2906
2	1579	2478
done	5000	2210

prune322.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes122.0ms

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	7	7
1	9	7
done	9	7

end0.0ms

sample675.0ms

Algorithm

intervals

Results

409.0ms

9161×

body

valid