Details

sample145.0ms

Algorithm

intervals

Results

105.0ms

555×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1898
4	721
3	290
2	96
1	43
0	23

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
3.9b	(* b (- (* c z) (* i a)))
5.1b	(* x (- (* y z) (* t a)))
5.8b	(* j (- (* c t) (* i y)))

rewrite487.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
33×	`associate-r`
25×	`associate-l`
19×	`unswap-sqr`
16×	`distribute-lft-out--` `difference-of-squares`
10×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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`
1×	`diff-log`

Counts

4 → 120

Calls

4 calls:

46.0ms	(- (* y z) (* t a))
142.0ms	(* b (- (* c z) (* i a)))
147.0ms	(* x (- (* y z) (* t a)))
148.0ms	(* j (- (* c t) (* i y)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* y z) (* t a))
86.0ms	(* b (- (* c z) (* i a)))
73.0ms	(* x (- (* y z) (* t a)))
74.0ms	(* j (- (* c t) (* i y)))

simplify1.7s

Counts

132 → 132

Iterations

Iter	Nodes
done	5002
2	1804
1	608
0	216

prune936.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.5b

localize57.0ms

Local error

Found 4 expressions with local error:

5.1b	(cbrt (- (* c z) (* i a)))
5.1b	(cbrt (- (* c z) (* i a)))
5.1b	(* x (- (* y z) (* t a)))
5.8b	(* j (- (* c t) (* i y)))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
22×	`cbrt-prod` `associate-r` `associate-l`
18×	`unswap-sqr`
16×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`distribute-rgt-in` `cbrt-div` `sub-neg` `distribute-lft-in` `flip3--` `associate-*r/` `insert-posit16` `flip--` `add-log-exp`
2×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 110

Calls

4 calls:

32.0ms	(cbrt (- (* c z) (* i a)))
28.0ms	(cbrt (- (* c z) (* i a)))
115.0ms	(* x (- (* y z) (* t a)))
114.0ms	(* j (- (* c t) (* i y)))

series461.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (- (* c z) (* i a)))
148.0ms	(cbrt (- (* c z) (* i a)))
91.0ms	(* x (- (* y z) (* t a)))
93.0ms	(* j (- (* c t) (* i y)))

simplify2.6s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
3	4937
2	1620
1	588
0	224

prune1.1s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 6.5b

localize74.0ms

Local error

Found 4 expressions with local error:

5.1b	(cbrt (- (* c z) (* i a)))
5.1b	(cbrt (* (* (cbrt (- (* c z) (* i a))) (cbrt (- (* c z) (* i a)))) (cbrt (- (* c z) (* i a)))))
5.1b	(* x (- (* y z) (* t a)))
5.8b	(* j (- (* c t) (* i y)))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

239×	`cbrt-prod`
173×	`add-sqr-sqrt`
157×	`*-un-lft-identity`
155×	`associate-l`
82×	`cbrt-div`
64×	`distribute-lft-out--` `unswap-sqr`
50×	`associate-r`
38×	`swap-sqr`
32×	`difference-of-squares`
30×	`flip3--` `flip--`
28×	`frac-times`
21×	`add-cube-cbrt`
14×	`associate-*l/`
12×	`associate-*r/`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-commutative`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `insert-posit16` `add-log-exp`
2×	`pow1/3` `pow3` `pow-prod-down` `prod-exp` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 233

Calls

4 calls:

26.0ms	(cbrt (- (* c z) (* i a)))
1.3s	(cbrt (* (* (cbrt (- (* c z) (* i a))) (cbrt (- (* c z) (* i a)))) (cbrt (- (* c z) (* i a)))))
135.0ms	(* x (- (* y z) (* t a)))
118.0ms	(* j (- (* c t) (* i y)))

series566.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt (- (* c z) (* i a)))
168.0ms	(cbrt (* (* (cbrt (- (* c z) (* i a))) (cbrt (- (* c z) (* i a)))) (cbrt (- (* c z) (* i a)))))
125.0ms	(* x (- (* y z) (* t a)))
97.0ms	(* j (- (* c t) (* i y)))

simplify2.0s

Counts

245 → 245

Iterations

Iter	Nodes
done	5001
2	2728
1	1045
0	476

prune2.1s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 6.5b

localize87.0ms

Local error

Found 4 expressions with local error:

5.8b	(* j (- (* c t) (* i y)))
6.2b	(cbrt (* b (- (* c z) (* i a))))
6.2b	(cbrt (* b (- (* c z) (* i a))))
6.2b	(cbrt (* b (- (* c z) (* i a))))

rewrite541.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-sqr-sqrt`
60×	`cbrt-prod`
47×	`*-un-lft-identity`
44×	`associate-r`
28×	`associate-l`
20×	`unswap-sqr`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`add-cube-cbrt`
8×	`associate-*r/`
6×	`pow1` `cbrt-div` `add-cbrt-cube` `add-exp-log`
4×	`flip3--` `*-commutative` `insert-posit16` `flip--` `add-log-exp`
3×	`pow1/3`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `cbrt-unprod`

Counts

4 → 126

Calls

4 calls:

144.0ms	(* j (- (* c t) (* i y)))
104.0ms	(cbrt (* b (- (* c z) (* i a))))
144.0ms	(cbrt (* b (- (* c z) (* i a))))
143.0ms	(cbrt (* b (- (* c z) (* i a))))

series625.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* j (- (* c t) (* i y)))
148.0ms	(cbrt (* b (- (* c z) (* i a))))
170.0ms	(cbrt (* b (- (* c z) (* i a))))
204.0ms	(cbrt (* b (- (* c z) (* i a))))

simplify2.1s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
3	3673
2	1270
1	469
0	191

prune1.3s

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 6.5b

regimes2.8s

Accuracy

6.4% (3.8b remaining)

Error of 11.3b against oracle of 7.5b and baseline of 11.5b

bsearch363.0ms

Steps

Iters	Range		Point
6	3.8823981529126153e-228	3.80537736314554e-227	2.3221986550473696e-227
7	-4.1120446060666776e-231	-1.6882813097565328e-232	-3.645805544531443e-232

simplify26.0ms

Iterations

Iter	Nodes
done	71
2	71
1	65
0	47

end0.0ms

sample6.3s

Algorithm

intervals

Results

4.8s

18728×

body

valid