Details

sample1.2s

Algorithm

intervals

Results

1.1s

682×

body

valid

simplify9.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1906
4	712
3	290
2	96
1	43
0	23

prune142.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize149.0ms

Local error

Found 4 expressions with local error:

0.8b	(- (* y z) (* t a))
3.5b	(* b (- (* c z) (* t i)))
6.3b	(* j (- (* c a) (* y i)))
7.5b	(* x (- (* y z) (* t a)))

rewrite450.0ms

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:

17.0ms	(- (* y z) (* t a))
61.0ms	(* b (- (* c z) (* t i)))
68.0ms	(* j (- (* c a) (* y i)))
299.0ms	(* x (- (* y z) (* t a)))

series647.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(- (* y z) (* t a))
231.0ms	(* b (- (* c z) (* t i)))
108.0ms	(* j (- (* c a) (* y i)))
143.0ms	(* x (- (* y z) (* t a)))

simplify5.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1411
1	455
0	166

prune3.0s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.8b

localize171.0ms

Local error

Found 4 expressions with local error:

7.5b	(* x (- (* y z) (* t a)))
8.0b	(cbrt (* j (- (* c a) (* y i))))
8.0b	(cbrt (* j (- (* c a) (* y i))))
8.0b	(cbrt (* j (- (* c a) (* y i))))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

55.0ms	(* x (- (* y z) (* t a)))
37.0ms	(cbrt (* j (- (* c a) (* y i))))
43.0ms	(cbrt (* j (- (* c a) (* y i))))
160.0ms	(cbrt (* j (- (* c a) (* y i))))

series2.0s

Counts

4 → 12

Calls

4 calls:

192.0ms	(* x (- (* y z) (* t a)))
454.0ms	(cbrt (* j (- (* c a) (* y i))))
353.0ms	(cbrt (* j (- (* c a) (* y i))))
1.0s	(cbrt (* j (- (* c a) (* y i))))

simplify11.7s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
3	3427
2	957
1	322
0	123

prune2.8s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 9.8b

localize154.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
3.5b	(* (cbrt j) (- (* c a) (* y i)))
3.5b	(* b (- (* c z) (* t i)))
7.5b	(* x (- (* y z) (* t a)))

rewrite519.0ms

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×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

188.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
148.0ms	(* (cbrt j) (- (* c a) (* y i)))
77.0ms	(* b (- (* c z) (* t i)))
96.0ms	(* x (- (* y z) (* t a)))

series2.0s

Counts

4 → 12

Calls

4 calls:

459.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
1.0s	(* (cbrt j) (- (* c a) (* y i)))
249.0ms	(* b (- (* c z) (* t i)))
246.0ms	(* x (- (* y z) (* t a)))

simplify6.2s

Counts

120 → 120

Iterations

Iter	Nodes
done	5011
2	2079
1	615
0	209

prune4.6s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 6.7b

localize99.0ms

Local error

Found 4 expressions with local error:

3.5b	(* b (- (* c z) (* t i)))
5.3b	(* a (* j c))
5.7b	(* i (- (* j y)))
7.5b	(* x (- (* y z) (* t a)))

rewrite325.0ms

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:

62.0ms	(* b (- (* c z) (* t i)))
34.0ms	(* a (* j c))
25.0ms	(* i (- (* j y)))
199.0ms	(* x (- (* y z) (* t a)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* b (- (* c z) (* t i)))
47.0ms	(* a (* j c))
77.0ms	(* i (- (* j y)))
244.0ms	(* x (- (* y z) (* t a)))

simplify3.1s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1583
1	471
0	178

prune1.7s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 5.9b

regimes5.8s

Accuracy

32.2% (4.8b remaining)

Error of 10.2b against oracle of 5.4b and baseline of 12.5b

bsearch876.0ms

Steps

Iters	Range	Point
9	3.068227531639503e+62	5.406138111303026e+69	3.1165861435587466e+62
9	-1.2497450481545273e-290	-4.109027308747531e-298	-4.392384127110079e-291
10	-1.5003177668003656e+152	-4.203660866920274e+139	-1.5126085294952925e+146

Iters

Range

Point

3.068227531639503e+62

5.406138111303026e+69

3.1165861435587466e+62

-1.2497450481545273e-290

-4.109027308747531e-298

-4.392384127110079e-291

-1.5003177668003656e+152

-4.203660866920274e+139

-1.5126085294952925e+146

simplify57.0ms

Iterations

Iter	Nodes
done	101
3	101
2	97
1	84
0	53

end0.0ms

sample7.2s

Algorithm

intervals

Results

5.4s

18969×

body

valid