Details

sample89.0ms

Algorithm

intervals

Results

62.0ms

501×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4506
8	3719
7	2357
6	930
5	420
4	303
3	156
2	49
1	19
0	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
3.6b	(* (* y 4.0) (- (* z z) t))

rewrite454.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
26×	`associate-l`
25×	`difference-of-squares`
24×	`unswap-sqr`
13×	`associate-r`
10×	`distribute-lft-out--`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-commutative` `add-cube-cbrt` `add-log-exp`
6×	`sub-neg`
5×	`swap-sqr`
4×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
3×	`flip3--` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--`
2×	`diff-log` `associate-*r/`

Counts

3 → 103

Calls

3 calls:

36.0ms	(- (* z z) t)
256.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
159.0ms	(* (* y 4.0) (- (* z z) t))

series270.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- (* z z) t)
141.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
105.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.5s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	1658
1	454
0	155

prune564.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.3b

localize60.0ms

Local error

Found 4 expressions with local error:

1.1b	(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
3.6b	(* (* y 4.0) (- (* z z) t))
3.6b	(* (* y 4.0) (- (* z z) t))
3.6b	(* (* y 4.0) (- (* z z) t))

rewrite783.0ms

Algorithm

rewrite-expression-head

Rules

113×	`add-sqr-sqrt`
57×	`associate-l`
41×	`*-un-lft-identity`
39×	`associate-r`
33×	`unswap-sqr`
30×	`difference-of-squares`
24×	`cbrt-prod`
19×	`pow1` `add-cbrt-cube` `add-exp-log`
17×	`add-cube-cbrt`
12×	`*-commutative` `distribute-lft-out--`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `swap-sqr` `associate-*r/`
4×	`flip3--` `insert-posit16` `flip--` `add-log-exp`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 170

Calls

4 calls:

309.0ms	(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
148.0ms	(* (* y 4.0) (- (* z z) t))
126.0ms	(* (* y 4.0) (- (* z z) t))
190.0ms	(* (* y 4.0) (- (* z z) t))

series422.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
76.0ms	(* (* y 4.0) (- (* z z) t))
88.0ms	(* (* y 4.0) (- (* z z) t))
83.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.5s

Counts

182 → 182

Iterations

Iter	Nodes
done	5000
2	1568
1	472
0	185

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y 4.0) (sqrt (- (* z z) t)))
0.2b	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
3.6b	(sqrt (- (* z z) t))
3.6b	(sqrt (- (* z z) t))

rewrite885.0ms

Algorithm

rewrite-expression-head

Rules

127×	`add-sqr-sqrt`
69×	`associate-l`
63×	`sqrt-prod`
45×	`associate-r`
41×	`unswap-sqr`
39×	`*-un-lft-identity`
25×	`difference-of-squares`
20×	`pow1`
19×	`add-cube-cbrt`
18×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
10×	`associate-r/` `-commutative` `distribute-lft-out--`
9×	`flip3--` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
5×	`swap-sqr`
4×	`frac-times` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/`

Counts

4 → 175

Calls

4 calls:

126.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
642.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
40.0ms	(sqrt (- (* z z) t))
71.0ms	(sqrt (- (* z z) t))

series371.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
93.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
83.0ms	(sqrt (- (* z z) t))
71.0ms	(sqrt (- (* z z) t))

simplify2.0s

Counts

187 → 187

Iterations

Iter	Nodes
done	5001
2	1872
1	521
0	195

prune1.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 1.3b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t))))
3.6b	(sqrt (- (* z z) t))
3.6b	(sqrt (- (* z z) t))
3.6b	(sqrt (- (* z z) t))

rewrite820.0ms

Algorithm

rewrite-expression-head

Rules

129×	`add-sqr-sqrt`
86×	`sqrt-prod`
54×	`associate-l`
45×	`unswap-sqr`
36×	`*-un-lft-identity`
32×	`associate-r`
25×	`difference-of-squares`
24×	`sqrt-div`
16×	`pow1` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
10×	`distribute-lft-out--`
9×	`flip3--` `flip--`
8×	`associate-r/` `-commutative`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`swap-sqr`
4×	`frac-times` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`associate-*l/`

Counts

4 → 160

Calls

4 calls:

665.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t))))
43.0ms	(sqrt (- (* z z) t))
64.0ms	(sqrt (- (* z z) t))
42.0ms	(sqrt (- (* z z) t))

series310.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t))))
70.0ms	(sqrt (- (* z z) t))
60.0ms	(sqrt (- (* z z) t))
55.0ms	(sqrt (- (* z z) t))

simplify1.7s

Counts

172 → 172

Iterations

Iter	Nodes
done	5002
2	1730
1	538
0	208

prune1.0s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 1.3b

regimes1.0s

Accuracy

79.2% (0.7b remaining)

Error of 2.9b against oracle of 2.2b and baseline of 5.4b

bsearch1.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	25
1	25
0	20

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.6s

15631×

body

valid