Details

sample34.0ms

Algorithm

intervals

Results

17.0ms

510×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	49	13
3	136	13
4	287	13
5	416	13
6	498	13
7	589	13
8	732	13
9	889	13
done	889	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.9b	(* (* y 4.0) (- (* z z) t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in` `associate-r` `associate--r+` `add-log-exp`
3×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log` `associate-l` `*-commutative` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

3.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
14.0ms	(* (* y 4.0) (- (* z z) t))

series135.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
63.0ms	(* (* y 4.0) (- (* z z) t))

simplify553.0ms

Counts

47 → 47

Iterations

Useful iterations: done (551.0ms)

Iter	Nodes	Cost
0	93	707
1	266	669
2	1077	583
done	5000	579

prune100.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.2b

localize13.0ms

Local error

Found 4 expressions with local error:

4.4b	(cbrt (* (* y 4.0) (- (* z z) t)))
5.9b	(* (* y 4.0) (- (* z z) t))
5.9b	(* (* y 4.0) (- (* z z) t))
5.9b	(* (* y 4.0) (- (* z z) t))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

8.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
14.0ms	(* (* y 4.0) (- (* z z) t))
13.0ms	(* (* y 4.0) (- (* z z) t))
13.0ms	(* (* y 4.0) (- (* z z) t))

series333.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
60.0ms	(* (* y 4.0) (- (* z z) t))
63.0ms	(* (* y 4.0) (- (* z z) t))
64.0ms	(* (* y 4.0) (- (* z z) t))

simplify2.4s

Counts

98 → 98

Iterations

Useful iterations: 3 (770.0ms)

Iter	Nodes	Cost
0	112	1281
1	291	1250
2	972	1027
3	4312	1019
done	5001	1019

prune284.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.2b

localize24.0ms

Local error

Found 4 expressions with local error:

5.9b	(* (* y 4.0) (- (* z z) t))
6.5b	(cbrt (- (* z z) t))
6.5b	(cbrt (- (* z z) t))
6.5b	(cbrt (- (* z z) t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

14.0ms	(* (* y 4.0) (- (* z z) t))
3.0ms	(cbrt (- (* z z) t))
3.0ms	(cbrt (- (* z z) t))
3.0ms	(cbrt (- (* z z) t))

series344.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* y 4.0) (- (* z z) t))
92.0ms	(cbrt (- (* z z) t))
93.0ms	(cbrt (- (* z z) t))
94.0ms	(cbrt (- (* z z) t))

simplify2.3s

Counts

79 → 79

Iterations

Useful iterations: 3 (785.0ms)

Iter	Nodes	Cost
0	105	965
1	268	947
2	928	817
3	4191	802
done	5000	802

prune344.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.2b

localize11.0ms

Local error

Found 4 expressions with local error:

2.2b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
2.2b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
5.9b	(* (* y 4.0) (- (* z z) t))
5.9b	(* (* y 4.0) (- (* z z) t))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
14×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `sqrt-div` `associate-*r/` `flip--` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative` `difference-of-squares`

Counts

4 → 80

Calls

4 calls:

3.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
4.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
13.0ms	(* (* y 4.0) (- (* z z) t))
18.0ms	(* (* y 4.0) (- (* z z) t))

series407.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
143.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
59.0ms	(* (* y 4.0) (- (* z z) t))
65.0ms	(* (* y 4.0) (- (* z z) t))

simplify527.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	101	1438
1	271	1296
2	1014	1168
done	5000	1168

prune244.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 3.2b

regimes533.0ms

Accuracy

86.6% (0.4b remaining)

Error of 3.3b against oracle of 2.9b and baseline of 6.1b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	36
1	25	36
done	25	36

end0.0ms

sample872.0ms

Algorithm

intervals

Results

483.0ms

15817×

body

valid