Details

sample106.0ms

Algorithm

intervals

Results

57.0ms

599×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	950
3	290
2	96
1	43
0	23

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize72.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
4.4b	(* b (- (* c z) (* i a)))
4.8b	(* j (- (* c t) (* i y)))
7.6b	(* x (- (* y z) (* t a)))

rewrite85.0ms

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--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

8.0ms	(- (* y z) (* t a))
22.0ms	(* b (- (* c z) (* i a)))
33.0ms	(* j (- (* c t) (* i y)))
21.0ms	(* x (- (* y z) (* t a)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* y z) (* t a))
123.0ms	(* b (- (* c z) (* i a)))
88.0ms	(* j (- (* c t) (* i y)))
102.0ms	(* x (- (* y z) (* t a)))

simplify1.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1805
1	458
0	166

prune1.3s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 8.8b

localize69.0ms

Local error

Found 4 expressions with local error:

4.4b	(* b (- (* c z) (* i a)))
4.8b	(* j (- (* c t) (* i y)))
5.9b	(* (- (* t a)) x)
8.0b	(* (* y z) x)

rewrite82.0ms

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` `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 → 88

Calls

4 calls:

22.0ms	(* b (- (* c z) (* i a)))
34.0ms	(* j (- (* c t) (* i y)))
8.0ms	(* (- (* t a)) x)
13.0ms	(* (* y z) x)

series287.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* b (- (* c z) (* i a)))
89.0ms	(* j (- (* c t) (* i y)))
52.0ms	(* (- (* t a)) x)
46.0ms	(* (* y z) x)

simplify1.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	2336
1	482
0	175

prune1.3s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 5.3b

localize78.0ms

Local error

Found 4 expressions with local error:

4.4b	(* b (- (* c z) (* i a)))
4.8b	(* j (- (* c t) (* i y)))
4.9b	(* y (* z x))
5.9b	(* (- (* t a)) x)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
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-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 88

Calls

4 calls:

21.0ms	(* b (- (* c z) (* i a)))
24.0ms	(* j (- (* c t) (* i y)))
12.0ms	(* y (* z x))
9.0ms	(* (- (* t a)) x)

series571.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* b (- (* c z) (* i a)))
93.0ms	(* j (- (* c t) (* i y)))
335.0ms	(* y (* z x))
32.0ms	(* (- (* t a)) x)

simplify1.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	2004
1	474
0	176

prune1.3s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 5.3b

localize109.0ms

Local error

Found 4 expressions with local error:

5.9b	(* (- (* t a)) x)
6.8b	(cbrt (- (* c t) (* i y)))
6.8b	(cbrt (- (* c t) (* i y)))
6.8b	(cbrt (- (* c t) (* i y)))

rewrite23.0ms

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` `associate-l` `add-exp-log`
4×	`add-log-exp`
3×	`flip3--` `pow1/3` `associate-r` `flip--`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

8.0ms	(* (- (* t a)) x)
4.0ms	(cbrt (- (* c t) (* i y)))
5.0ms	(cbrt (- (* c t) (* i y)))
5.0ms	(cbrt (- (* c t) (* i y)))

series658.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* t a)) x)
215.0ms	(cbrt (- (* c t) (* i y)))
214.0ms	(cbrt (- (* c t) (* i y)))
179.0ms	(cbrt (- (* c t) (* i y)))

simplify1.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1113
1	283
0	109

prune932.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 5.3b

regimes3.3s

Accuracy

12.7% (6.0b remaining)

Error of 11.9b against oracle of 6.0b and baseline of 12.8b

bsearch480.0ms

Steps

Iters	Range	Point
9	5.583719323195122e-196	6.92543355188382e-187	1.004501937429618e-191
5	6.703449509302573e-233	1.5681290843696203e-232	8.098261062553838e-233
7	-2.356429985169043e-111	-1.5016714143103604e-113	-7.956534375479293e-112

Iters

Range

Point

5.583719323195122e-196

6.92543355188382e-187

1.004501937429618e-191

6.703449509302573e-233

1.5681290843696203e-232

8.098261062553838e-233

-2.356429985169043e-111

-1.5016714143103604e-113

-7.956534375479293e-112

simplify31.0ms

Iterations

Iter	Nodes
done	106
3	106
2	105
1	93
0	58

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.9s

19112×

body

valid