Details

sample182.0ms

Algorithm

intervals

Results

94.0ms

651×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	290	29
4	969	29
done	5001	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c t) (* i y))
4.8b	(* x (- (* y z) (* t a)))
5.9b	(* b (- (* c z) (* i a)))
6.4b	(* j (- (* c t) (* i y)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

16.0ms	(- (* c t) (* i y))
53.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* b (- (* c z) (* i a)))
55.0ms	(* j (- (* c t) (* i y)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* c t) (* i y))
113.0ms	(* x (- (* y z) (* t a)))
100.0ms	(* b (- (* c z) (* i a)))
92.0ms	(* j (- (* c t) (* i y)))

simplify1.0s

Counts

96 → 96

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	166	1155
1	457	1141
2	1784	1015
done	5001	1007

prune522.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.7b

localize28.0ms

Local error

Found 4 expressions with local error:

3.8b	(* z (* b c))
4.8b	(* x (- (* y z) (* t a)))
5.4b	(* b (- (* i a)))
6.4b	(* j (- (* c t) (* i y)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `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 → 88

Calls

4 calls:

18.0ms	(* z (* b c))
29.0ms	(* x (- (* y z) (* t a)))
20.0ms	(* b (- (* i a)))
36.0ms	(* j (- (* c t) (* i y)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* z (* b c))
81.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* b (- (* i a)))
92.0ms	(* j (- (* c t) (* i y)))

simplify944.0ms

Counts

100 → 100

Iterations

Useful iterations: done (941.0ms)

Iter	Nodes	Cost
0	175	1001
1	475	983
2	1890	862
done	5001	852

prune511.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.4b

localize30.0ms

Local error

Found 4 expressions with local error:

4.8b	(* x (- (* y z) (* t a)))
5.4b	(* b (- (* i a)))
5.7b	(* t (* j c))
6.9b	(* j (- (* i y)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

43.0ms	(* x (- (* y z) (* t a)))
20.0ms	(* b (- (* i a)))
38.0ms	(* t (* j c))
13.0ms	(* j (- (* i y)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* x (- (* y z) (* t a)))
36.0ms	(* b (- (* i a)))
34.0ms	(* t (* j c))
51.0ms	(* j (- (* i y)))

simplify1.2s

Counts

98 → 98

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	163	865
1	436	841
2	1833	739
done	5000	733

prune571.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 3.3b

localize57.0ms

Local error

Found 4 expressions with local error:

4.6b	(* (* t j) c)
4.8b	(* x (- (* y z) (* t a)))
5.4b	(* b (- (* i a)))
6.9b	(* j (- (* i y)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

25.0ms	(* (* t j) c)
47.0ms	(* x (- (* y z) (* t a)))
13.0ms	(* b (- (* i a)))
19.0ms	(* j (- (* i y)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* t j) c)
100.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* b (- (* i a)))
42.0ms	(* j (- (* i y)))

simplify1.1s

Counts

98 → 98

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	166	868
1	451	842
2	2112	742
done	5002	736

prune640.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 3.3b

regimes1.9s

Accuracy

28.4% (7.0b remaining)

Error of 10.1b against oracle of 3.0b and baseline of 12.8b

bsearch797.0ms

Steps

Iters	Range		Point
6	4.08967293006977e-35	2.0467578337664975e-34	4.578744244050202e-35
6	9.42631403976078e-153	8.625063485519747e-152	7.683957053609647e-152
10	-3.4239919325012315e-68	-4.553342030082463e-84	-3.533433425377577e-69

simplify38.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	62	158
1	105	158
2	127	158
3	139	158
done	139	158

end0.0ms

sample5.6s

Algorithm

intervals

Results

3.5s

19290×

body

valid