Details

sample122.0ms

Algorithm

intervals

Results

77.0ms

578×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1885
4	721
3	290
2	96
1	43
0	23

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize90.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
4.0b	(* j (- (* c a) (* y i)))
6.3b	(* x (- (* y z) (* t a)))
6.6b	(* b (- (* c z) (* t i)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `insert-posit16` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 88

Calls

4 calls:

17.0ms	(- (* y z) (* t a))
55.0ms	(* j (- (* c a) (* y i)))
54.0ms	(* x (- (* y z) (* t a)))
34.0ms	(* b (- (* c z) (* t i)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (* y z) (* t a))
103.0ms	(* j (- (* c a) (* y i)))
99.0ms	(* x (- (* y z) (* t a)))
93.0ms	(* b (- (* c z) (* t i)))

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1415
1	457
0	170

prune1.1s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.7b

localize84.0ms

Local error

Found 4 expressions with local error:

6.6b	(* b (- (* c z) (* t i)))
6.7b	(cbrt (* b (- (* c z) (* t i))))
6.7b	(cbrt (* b (- (* c z) (* t i))))
6.7b	(cbrt (* b (- (* c z) (* t i))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*r/`
6×	`pow1` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`flip3--` `insert-posit16` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

36.0ms	(* b (- (* c z) (* t i)))
14.0ms	(cbrt (* b (- (* c z) (* t i))))
18.0ms	(cbrt (* b (- (* c z) (* t i))))
22.0ms	(cbrt (* b (- (* c z) (* t i))))

series685.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* b (- (* c z) (* t i)))
198.0ms	(cbrt (* b (- (* c z) (* t i))))
201.0ms	(cbrt (* b (- (* c z) (* t i))))
193.0ms	(cbrt (* b (- (* c z) (* t i))))

simplify2.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5002
3	2532
2	761
1	265
0	105

prune1.2s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 8.6b

localize89.0ms

Local error

Found 4 expressions with local error:

6.7b	(cbrt (* b (- (* c z) (* t i))))
6.7b	(cbrt (* b (- (* c z) (* t i))))
6.7b	(cbrt (* b (- (* c z) (* t i))))
6.7b	(cbrt (* b (- (* c z) (* t i))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-div` `associate-*r/`
4×	`cbrt-prod` `add-sqr-sqrt` `pow1` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

11.0ms	(cbrt (* b (- (* c z) (* t i))))
11.0ms	(cbrt (* b (- (* c z) (* t i))))
20.0ms	(cbrt (* b (- (* c z) (* t i))))
21.0ms	(cbrt (* b (- (* c z) (* t i))))

series779.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (* b (- (* c z) (* t i))))
181.0ms	(cbrt (* b (- (* c z) (* t i))))
174.0ms	(cbrt (* b (- (* c z) (* t i))))
223.0ms	(cbrt (* b (- (* c z) (* t i))))

simplify1.5s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
3	1596
2	523
1	183
0	72

prune996.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 8.6b

localize75.0ms

Local error

Found 4 expressions with local error:

6.6b	(* b (- (* c z) (* t i)))
6.7b	(cbrt (* b (- (* c z) (* t i))))
6.7b	(cbrt (* b (- (* c z) (* t i))))
8.7b	(cbrt (- (* c z) (* t i)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `cbrt-div` `add-cbrt-cube` `associate-*r/` `add-exp-log`
5×	`cbrt-prod`
4×	`flip3--` `insert-posit16` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

37.0ms	(* b (- (* c z) (* t i)))
11.0ms	(cbrt (* b (- (* c z) (* t i))))
11.0ms	(cbrt (* b (- (* c z) (* t i))))
14.0ms	(cbrt (- (* c z) (* t i)))

series624.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* b (- (* c z) (* t i)))
205.0ms	(cbrt (* b (- (* c z) (* t i))))
197.0ms	(cbrt (* b (- (* c z) (* t i))))
138.0ms	(cbrt (- (* c z) (* t i)))

simplify2.0s

Counts

75 → 75

Iterations

Iter	Nodes
done	5002
3	3381
2	937
1	337
0	136

prune786.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 8.6b

regimes2.2s

Accuracy

0% (3.8b remaining)

Error of 12.2b against oracle of 8.4b and baseline of 12.2b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	40
1	40
0	28

end0.0ms

sample4.0s

Algorithm

intervals

Results

3.2s

19172×

body

valid