Details

sample82.0ms

Algorithm

intervals

Results

40.0ms

497×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	50	13
3	160	13
4	443	13
5	1442	13
done	5000	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.0b	(* (* y 4.0) (- (* z z) t))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

8.0ms	(- (* z z) t)
10.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
39.0ms	(* (* y 4.0) (- (* z z) t))

series236.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (* z z) t)
102.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
99.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.4s

Counts

63 → 63

Iterations

Useful iterations: 2 (290.0ms)

Iter	Nodes	Cost
0	103	843
1	327	802
2	1901	696
done	5001	696

prune334.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.2b

localize33.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))) (* y 4.0))
6.5b	(cbrt (- (* z z) t))
6.5b	(cbrt (- (* z z) t))
6.5b	(cbrt (- (* z z) t))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
12×	`cbrt-prod` `add-cbrt-cube`
10×	`add-sqr-sqrt` `associate-*l/`
9×	`flip3--` `flip--`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
2×	`associate-*r/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

152.0ms	(* (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))) (* y 4.0))
11.0ms	(cbrt (- (* z z) t))
17.0ms	(cbrt (- (* z z) t))
11.0ms	(cbrt (- (* z z) t))

series568.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(* (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))) (* y 4.0))
127.0ms	(cbrt (- (* z z) t))
123.0ms	(cbrt (- (* z z) t))
99.0ms	(cbrt (- (* z z) t))

simplify991.0ms

Counts

84 → 84

Iterations

Useful iterations: done (988.0ms)

Iter	Nodes	Cost
0	120	1340
1	321	1252
2	1157	1084
done	5001	1058

prune371.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.2b

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
1.0b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
6.0b	(* (* y 4.0) (- (* z z) t))
6.0b	(* (* y 4.0) (- (* z z) t))

rewrite101.0ms

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:

9.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
9.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
38.0ms	(* (* y 4.0) (- (* z z) t))
43.0ms	(* (* y 4.0) (- (* z z) t))

series512.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
186.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
77.0ms	(* (* y 4.0) (- (* z z) t))
76.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.0s

Counts

92 → 92

Iterations

Useful iterations: 2 (187.0ms)

Iter	Nodes	Cost
0	101	1438
1	285	1296
2	1583	1168
done	5001	1168

prune404.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.2b

localize48.0ms

Local error

Found 4 expressions with local error:

6.0b	(* (* y 4.0) (- (* z z) t))
6.0b	(* (* y 4.0) (- (* z z) t))
6.0b	(* (* y 4.0) (- (* z z) t))
6.0b	(* (* y 4.0) (- (* z z) t))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

37.0ms	(* (* y 4.0) (- (* z z) t))
37.0ms	(* (* y 4.0) (- (* z z) t))
49.0ms	(* (* y 4.0) (- (* z z) t))
68.0ms	(* (* y 4.0) (- (* z z) t))

series332.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (* y 4.0) (- (* z z) t))
93.0ms	(* (* y 4.0) (- (* z z) t))
72.0ms	(* (* y 4.0) (- (* z z) t))
78.0ms	(* (* y 4.0) (- (* z z) t))

simplify864.0ms

Counts

112 → 112

Iterations

Useful iterations: done (860.0ms)

Iter	Nodes	Cost
0	66	1412
1	205	1376
2	1266	1136
done	5001	1120

prune588.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 3.2b

regimes1.2s

Accuracy

78.7% (0.7b remaining)

Error of 3.4b against oracle of 2.6b and baseline of 6.1b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s

15704×

body

valid