Details

sample243.0ms

Algorithm

intervals

Results

126.0ms

638×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

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

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize235.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
4.0b	(* b (- (* c z) (* t i)))
5.7b	(* j (- (* c a) (* y i)))
6.8b	(* x (- (* y z) (* t a)))

rewrite510.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

238.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
80.0ms	(* b (- (* c z) (* t i)))
90.0ms	(* j (- (* c a) (* y i)))
90.0ms	(* x (- (* y z) (* t a)))

series1.5s

Counts

4 → 12

Calls

4 calls:

1.1s	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
165.0ms	(* b (- (* c z) (* t i)))
147.0ms	(* j (- (* c a) (* y i)))
128.0ms	(* x (- (* y z) (* t a)))

simplify8.4s

Counts

123 → 123

Iterations

Iter	Nodes
done	5004
2	4717
1	1000
0	279

prune3.5s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 9.8b

localize306.0ms

Local error

Found 4 expressions with local error:

4.3b	(* (* c z) b)
4.7b	(* (- (* t i)) b)
5.7b	(* j (- (* c a) (* y i)))
6.8b	(* x (- (* y z) (* t a)))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

68.0ms	(* (* c z) b)
50.0ms	(* (- (* t i)) b)
88.0ms	(* j (- (* c a) (* y i)))
109.0ms	(* x (- (* y z) (* t a)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* c z) b)
47.0ms	(* (- (* t i)) b)
156.0ms	(* j (- (* c a) (* y i)))
152.0ms	(* x (- (* y z) (* t a)))

simplify3.5s

Counts

104 → 104

Iterations

Iter	Nodes
done	5002
2	1617
1	480
0	178

prune3.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.1b

localize348.0ms

Local error

Found 4 expressions with local error:

6.6b	(cbrt (- (* c z) (* t i)))
6.6b	(cbrt (- (* c z) (* t i)))
6.6b	(cbrt (- (* c z) (* t i)))
6.8b	(* x (- (* y z) (* t a)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

13.0ms	(cbrt (- (* c z) (* t i)))
26.0ms	(cbrt (- (* c z) (* t i)))
15.0ms	(cbrt (- (* c z) (* t i)))
86.0ms	(* x (- (* y z) (* t a)))

series1.2s

Counts

4 → 12

Calls

4 calls:

314.0ms	(cbrt (- (* c z) (* t i)))
360.0ms	(cbrt (- (* c z) (* t i)))
345.0ms	(cbrt (- (* c z) (* t i)))
150.0ms	(* x (- (* y z) (* t a)))

simplify6.1s

Counts

79 → 79

Iterations

Iter	Nodes
done	5034
3	3114
2	913
1	326
0	124

prune2.8s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.1b

localize417.0ms

Local error

Found 4 expressions with local error:

5.7b	(* j (- (* c a) (* y i)))
8.0b	(cbrt (- (* y z) (* t a)))
8.0b	(cbrt (- (* y z) (* t a)))
8.0b	(cbrt (- (* y z) (* t a)))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

115.0ms	(* j (- (* c a) (* y i)))
27.0ms	(cbrt (- (* y z) (* t a)))
28.0ms	(cbrt (- (* y z) (* t a)))
28.0ms	(cbrt (- (* y z) (* t a)))

series1.1s

Counts

4 → 12

Calls

4 calls:

170.0ms	(* j (- (* c a) (* y i)))
298.0ms	(cbrt (- (* y z) (* t a)))
337.0ms	(cbrt (- (* y z) (* t a)))
322.0ms	(cbrt (- (* y z) (* t a)))

simplify5.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	5011
3	3016
2	905
1	323
0	124

prune2.0s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 9.1b

regimes8.1s

Accuracy

0.6% (6.3b remaining)

Error of 12.9b against oracle of 6.6b and baseline of 12.9b

bsearch307.0ms

Steps

Iters	Range		Point
8	7.519331068077054e-188	1.783603192676595e-183	3.8053230682781215e-186
5	-0.00758697153612929	-0.0037333771883789214	-0.003764833963061511

simplify52.0ms

Iterations

Iter	Nodes
done	83
3	83
2	77
1	67
0	39

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.4s

19384×

body

valid