Details

sample166.0ms

Algorithm

intervals

Results

124.0ms

638×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	953
3	290
2	96
1	43
0	23

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize46.0ms

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)))

rewrite173.0ms

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:

96.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
23.0ms	(* b (- (* c z) (* t i)))
27.0ms	(* j (- (* c a) (* y i)))
25.0ms	(* x (- (* y z) (* t a)))

series1.0s

Counts

4 → 12

Calls

4 calls:

733.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
107.0ms	(* b (- (* c z) (* t i)))
93.0ms	(* j (- (* c a) (* y i)))
96.0ms	(* x (- (* y z) (* t a)))

simplify2.0s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
1	1006
0	279

prune1.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.4b

localize99.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-r`
12×	`associate-l`
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-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 92

Calls

4 calls:

18.0ms	(* b (* c z))
12.0ms	(* b (- (* t i)))
25.0ms	(* j (- (* c a) (* y i)))
45.0ms	(* x (- (* y z) (* t a)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* b (* c z))
49.0ms	(* b (- (* t i)))
88.0ms	(* j (- (* c a) (* y i)))
81.0ms	(* x (- (* y z) (* t a)))

simplify1.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1946
1	479
0	178

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.7b

localize88.0ms

Local error

Found 4 expressions with local error:

3.1b	(* i (- (* t b)))
4.3b	(* b (* c z))
5.7b	(* j (- (* c a) (* y i)))
6.8b	(* x (- (* y z) (* t a)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-r`
12×	`associate-l`
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-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 92

Calls

4 calls:

14.0ms	(* i (- (* t b)))
20.0ms	(* b (* c z))
28.0ms	(* j (- (* c a) (* y i)))
28.0ms	(* x (- (* y z) (* t a)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* i (- (* t b)))
43.0ms	(* b (* c z))
98.0ms	(* j (- (* c a) (* y i)))
86.0ms	(* x (- (* y z) (* t a)))

simplify1.5s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1930
1	487
0	183

prune1.2s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.2b

localize77.0ms

Local error

Found 4 expressions with local error:

6.8b	(* x (- (* y z) (* t a)))
15.5b	(cbrt (* i (- (* t b))))
15.5b	(cbrt (* i (- (* t b))))
15.5b	(cbrt (* i (- (* t b))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

46.0ms	(* x (- (* y z) (* t a)))
21.0ms	(cbrt (* i (- (* t b))))
11.0ms	(cbrt (* i (- (* t b))))
11.0ms	(cbrt (* i (- (* t b))))

series546.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* x (- (* y z) (* t a)))
135.0ms	(cbrt (* i (- (* t b))))
183.0ms	(cbrt (* i (- (* t b))))
139.0ms	(cbrt (* i (- (* t b))))

simplify2.1s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
3	3585
2	851
1	263
0	106

prune758.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 8.2b

regimes2.5s

Accuracy

47.7% (3.3b remaining)

Error of 9.4b against oracle of 6.1b and baseline of 12.4b

bsearch5.0ms

simplify23.0ms

Iterations

Iter	Nodes
done	103
3	103
2	96
1	80
0	48

end0.0ms

sample5.5s

Algorithm

intervals

Results

4.0s

19384×

body

valid