Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

510×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	49	13
3	138	13
4	295	13
5	463	13
6	579	13
7	761	13
8	934	13
9	1116	13
10	1154	13
done	1154	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))

rewrite19.0ms

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:

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

series134.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
61.0ms	(* (* y 4.0) (- (* z z) t))

simplify470.0ms

Counts

47 → 47

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	93	707
1	268	669
2	1191	583
done	5000	583

prune98.0ms

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))

rewrite56.0ms

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))
16.0ms	(* (* y 4.0) (- (* z z) t))
14.0ms	(* (* y 4.0) (- (* z z) t))

series320.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
60.0ms	(* (* y 4.0) (- (* z z) t))
58.0ms	(* (* y 4.0) (- (* z z) t))
62.0ms	(* (* y 4.0) (- (* z z) t))

simplify443.0ms

Counts

98 → 98

Iterations

Useful iterations: done (440.0ms)

Iter	Nodes	Cost
0	112	1281
1	293	1250
2	1047	1027
done	5000	1020

prune250.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.2b

localize21.0ms

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))

rewrite25.0ms

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))

series310.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (* y 4.0) (- (* z z) t))
82.0ms	(cbrt (- (* z z) t))
83.0ms	(cbrt (- (* z z) t))
85.0ms	(cbrt (- (* z z) t))

simplify2.7s

Counts

79 → 79

Iterations

Useful iterations: 3 (437.0ms)

Iter	Nodes	Cost
0	105	965
1	270	947
2	1003	817
3	4853	802
done	5000	802

prune302.0ms

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))

rewrite64.0ms

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:

7.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
6.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
25.0ms	(* (* y 4.0) (- (* z z) t))
22.0ms	(* (* y 4.0) (- (* z z) t))

series438.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
131.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
82.0ms	(* (* y 4.0) (- (* z z) t))
95.0ms	(* (* y 4.0) (- (* z z) t))

simplify453.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	101	1438
1	273	1296
2	1092	1168
done	5000	1168

prune234.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 3.2b

regimes530.0ms

Accuracy

86.6% (0.4b remaining)

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

bsearch3.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample892.0ms

Algorithm

intervals

Results

489.0ms

15817×

body

valid