Details

sample172.0ms

Algorithm

intervals

Results

111.0ms

598×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2010
6	2010
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: 11.6b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c t) (* i y))
4.0b	(* j (- (* c t) (* i y)))
4.7b	(* b (- (* c z) (* i a)))
4.9b	(* x (- (* y z) (* t a)))

rewrite97.0ms

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--` `insert-posit16` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 88

Calls

4 calls:

9.0ms	(- (* c t) (* i y))
27.0ms	(* j (- (* c t) (* i y)))
28.0ms	(* b (- (* c z) (* i a)))
31.0ms	(* x (- (* y z) (* t a)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* c t) (* i y))
99.0ms	(* j (- (* c t) (* i y)))
92.0ms	(* b (- (* c z) (* i a)))
90.0ms	(* x (- (* y z) (* t a)))

simplify1.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	2000
3	2000
2	1425
1	458
0	170

prune801.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.6b

localize76.0ms

Local error

Found 4 expressions with local error:

4.7b	(* b (- (* c z) (* i a)))
6.6b	(cbrt (- (* y z) (* t a)))
6.6b	(cbrt (- (* y z) (* t a)))
6.6b	(cbrt (- (* y z) (* t a)))

rewrite55.0ms

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:

25.0ms	(* b (- (* c z) (* i a)))
12.0ms	(cbrt (- (* y z) (* t a)))
9.0ms	(cbrt (- (* y z) (* t a)))
8.0ms	(cbrt (- (* y z) (* t a)))

series502.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* b (- (* c z) (* i a)))
143.0ms	(cbrt (- (* y z) (* t a)))
150.0ms	(cbrt (- (* y z) (* t a)))
136.0ms	(cbrt (- (* y z) (* t a)))

simplify1.0s

Counts

79 → 79

Iterations

Iter	Nodes
done	2005
3	2005
2	895
1	323
0	124

prune843.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.6b

localize78.0ms

Local error

Found 4 expressions with local error:

5.1b	(* b (* c z))
6.6b	(cbrt (- (* y z) (* t a)))
6.6b	(cbrt (- (* y z) (* t a)))
6.6b	(cbrt (- (* y z) (* t a)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-div`
4×	`insert-posit16` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
1×	`associate-r` `*-commutative`

Counts

4 → 61

Calls

4 calls:

20.0ms	(* b (* c z))
7.0ms	(cbrt (- (* y z) (* t a)))
7.0ms	(cbrt (- (* y z) (* t a)))
7.0ms	(cbrt (- (* y z) (* t a)))

series496.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* b (* c z))
142.0ms	(cbrt (- (* y z) (* t a)))
148.0ms	(cbrt (- (* y z) (* t a)))
175.0ms	(cbrt (- (* y z) (* t a)))

simplify933.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	2000
3	2000
2	777
1	271
0	108

prune752.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 5.6b

localize58.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (cbrt x) (- (* y z) (* t a)))
3.3b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.0b	(* j (- (* c t) (* i y)))
4.7b	(* b (- (* c z) (* i a)))

rewrite422.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
10×	`sub-neg` `associate-r` `associate-*r/`
4×	`cbrt-prod` `flip3--` `*-commutative` `insert-posit16` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

27.0ms	(* (cbrt x) (- (* y z) (* t a)))
344.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
22.0ms	(* j (- (* c t) (* i y)))
28.0ms	(* b (- (* c z) (* i a)))

series589.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (cbrt x) (- (* y z) (* t a)))
115.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
89.0ms	(* j (- (* c t) (* i y)))
80.0ms	(* b (- (* c z) (* i a)))

simplify817.0ms

Counts

124 → 124

Iterations

Iter	Nodes
done	2001
2	2001
1	615
0	213

prune853.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 5.6b

regimes2.1s

Accuracy

6.9% (5.6b remaining)

Error of 11.7b against oracle of 6.0b and baseline of 12.1b

bsearch355.0ms

Steps

Iters	Range		Point
9	1.797707377495175e-151	1.5960375117899055e-143	9.54049899235349e-144
8	-6.380722403028298e-26	-1.4180243328570568e-29	-4.8832649390149185e-28

simplify23.0ms

Iterations

Iter	Nodes
done	82
3	82
2	81
1	75
0	48

end0.0ms

sample5.7s

Algorithm

intervals

Results

4.6s

19218×

body

valid