Details

sample76.0ms

Algorithm

intervals

Results

32.0ms

375×

body

valid

simplify155.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	56	13
3	93	13
4	108	13
5	109	13
done	109	13

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
5.9b	(* (* a z) b)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `associate-l` `*-commutative`

Counts

3 → 42

Calls

3 calls:

11.0ms	(+ x (* y z))
46.0ms	(+ (+ x (* y z)) (* t a))
36.0ms	(* (* a z) b)

series193.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (* y z))
93.0ms	(+ (+ x (* y z)) (* t a))
57.0ms	(* (* a z) b)

simplify2.8s

Counts

51 → 51

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	93	492
1	260	465
2	991	417
3	3784	415
done	5002	415

prune159.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ x (* y z)) (* t a)))
0.5b	(cbrt (+ (+ x (* y z)) (* t a)))
0.5b	(cbrt (+ (+ x (* y z)) (* t a)))
5.9b	(* (* a z) b)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`add-log-exp`
3×	`flip3-+` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
1×	`associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

18.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
12.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
18.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
38.0ms	(* (* a z) b)

series874.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
289.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
266.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
42.0ms	(* (* a z) b)

simplify2.8s

Counts

69 → 69

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	109	1083
1	277	1051
2	903	949
3	2879	913
done	5000	862

prune324.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ x (* y z)) (* t a)))
0.5b	(cbrt (* (cbrt (+ (+ x (* y z)) (* t a))) (cbrt (+ (+ x (* y z)) (* t a)))))
0.6b	(cbrt (cbrt (+ (+ x (* y z)) (* t a))))
5.9b	(* (* a z) b)

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
13×	`cbrt-prod`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `associate-l/`
1×	`associate-l` `*-commutative`

Counts

4 → 64

Calls

4 calls:

24.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
56.0ms	(cbrt (* (cbrt (+ (+ x (* y z)) (* t a))) (cbrt (+ (+ x (* y z)) (* t a)))))
22.0ms	(cbrt (cbrt (+ (+ x (* y z)) (* t a))))
38.0ms	(* (* a z) b)

series868.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
294.0ms	(cbrt (* (cbrt (+ (+ x (* y z)) (* t a))) (cbrt (+ (+ x (* y z)) (* t a)))))
271.0ms	(cbrt (cbrt (+ (+ x (* y z)) (* t a))))
44.0ms	(* (* a z) b)

simplify2.7s

Counts

76 → 76

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	205	1688
1	478	1633
2	1359	1503
3	3932	1462
done	5000	1343

prune481.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
6.8b	(* a (* b z))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `associate-r` `*-commutative`

Counts

3 → 42

Calls

3 calls:

6.0ms	(+ x (* y z))
38.0ms	(+ (+ x (* y z)) (* t a))
17.0ms	(* a (* b z))

series163.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ x (* y z))
83.0ms	(+ (+ x (* y z)) (* t a))
40.0ms	(* a (* b z))

simplify2.1s

Counts

51 → 51

Iterations

Useful iterations: 3 (973.0ms)

Iter	Nodes	Cost
0	91	489
1	253	464
2	917	416
3	3464	414
done	5000	414

prune128.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes307.0ms

Accuracy

94.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.5b

bsearch143.0ms

Steps

Iters	Range		Point
9	4.744385181774278e-41	1.801766145834835e-31	9.400476948445346e-34
9	-9.58270342818622e-56	-4.254149136142204e-63	-1.3315553548023204e-57

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	53
1	35	39
done	35	39

end0.0ms

sample1.8s

Algorithm

intervals

Results

858.0ms

11914×

body

valid