Details

sample140.0ms

Algorithm

intervals

Results

94.0ms

641×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1885
4	721
3	290
2	96
1	43
0	23

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* t i))
4.2b	(* x (- (* y z) (* t a)))
5.0b	(* j (- (* c a) (* y i)))
5.7b	(* b (- (* c z) (* t i)))

rewrite131.0ms

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:

16.0ms	(- (* c z) (* t i))
44.0ms	(* x (- (* y z) (* t a)))
23.0ms	(* j (- (* c a) (* y i)))
47.0ms	(* b (- (* c z) (* t i)))

series371.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (* c z) (* t i))
106.0ms	(* x (- (* y z) (* t a)))
91.0ms	(* j (- (* c a) (* y i)))
109.0ms	(* b (- (* c z) (* t i)))

simplify1.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5004
2	1441
1	456
0	170

prune903.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.1b

localize75.0ms

Local error

Found 4 expressions with local error:

5.0b	(* j (- (* c a) (* y i)))
7.0b	(cbrt (- (* c z) (* t i)))
7.0b	(cbrt (- (* c z) (* t i)))
7.0b	(cbrt (- (* c z) (* t i)))

rewrite48.0ms

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	(* j (- (* c a) (* y i)))
5.0ms	(cbrt (- (* c z) (* t i)))
6.0ms	(cbrt (- (* c z) (* t i)))
10.0ms	(cbrt (- (* c z) (* t i)))

series628.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* j (- (* c a) (* y i)))
139.0ms	(cbrt (- (* c z) (* t i)))
209.0ms	(cbrt (- (* c z) (* t i)))
169.0ms	(cbrt (- (* c z) (* t i)))

simplify2.0s

Counts

79 → 79

Iterations

Iter	Nodes
done	5006
3	2959
2	897
1	324
0	124

prune904.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 8.1b

localize97.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
2.8b	(* (cbrt j) (- (* c a) (* y i)))
4.2b	(* x (- (* y z) (* t a)))
5.7b	(* b (- (* c z) (* t i)))

rewrite162.0ms

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:

66.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
24.0ms	(* (cbrt j) (- (* c a) (* y i)))
48.0ms	(* x (- (* y z) (* t a)))
23.0ms	(* b (- (* c z) (* t i)))

series680.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
359.0ms	(* (cbrt j) (- (* c a) (* y i)))
96.0ms	(* x (- (* y z) (* t a)))
104.0ms	(* b (- (* c z) (* t i)))

simplify1.7s

Counts

124 → 124

Iterations

Iter	Nodes
done	5008
2	2112
1	622
0	215

prune1.2s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 6.2b

localize89.0ms

Local error

Found 4 expressions with local error:

4.2b	(* x (- (* y z) (* t a)))
5.6b	(* (- y) (* j i))
5.7b	(* b (- (* c z) (* t i)))
5.9b	(* (* c a) j)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
17×	`associate-l`
16×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
8×	`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×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1`

Counts

4 → 96

Calls

4 calls:

30.0ms	(* x (- (* y z) (* t a)))
34.0ms	(* (- y) (* j i))
41.0ms	(* b (- (* c z) (* t i)))
15.0ms	(* (* c a) j)

series234.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* x (- (* y z) (* t a)))
41.0ms	(* (- y) (* j i))
77.0ms	(* b (- (* c z) (* t i)))
30.0ms	(* (* c a) j)

simplify1.6s

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
2	1722
1	512
0	191

prune845.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 4.8b

regimes2.0s

Accuracy

36.4% (4.6b remaining)

Error of 9.2b against oracle of 4.6b and baseline of 11.9b

bsearch196.0ms

Steps

Iters	Range		Point
6	4.374496627971988e+91	5.309234421448653e+92	6.910480137132264e+91
3	-7.771561818874526e+20	-5.8071563815907996e+20	-7.642798871419527e+20

simplify23.0ms

Iterations

Iter	Nodes
done	79
3	79
2	72
1	68
0	45

end0.0ms

sample4.3s

Algorithm

intervals

Results

3.3s

19171×

body

valid