Details

sample71.0ms

Algorithm

intervals

Results

33.0ms

543×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1451
4	445
3	160
2	50
1	19
0	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.2b	(* (* y 4.0) (- (* z z) t))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

7.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
40.0ms	(* (* y 4.0) (- (* z z) t))

series210.0ms

Counts

2 → 6

Calls

2 calls:

119.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
90.0ms	(* (* y 4.0) (- (* z z) t))

simplify940.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	5002
2	1757
1	293
0	93

prune295.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.7b

localize40.0ms

Local error

Found 4 expressions with local error:

1.8b	(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
5.2b	(* (* y 4.0) (- (* z z) t))
5.2b	(* (* y 4.0) (- (* z z) t))
5.2b	(* (* y 4.0) (- (* z z) t))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

4.0ms	(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
32.0ms	(* (* y 4.0) (- (* z z) t))
51.0ms	(* (* y 4.0) (- (* z z) t))
58.0ms	(* (* y 4.0) (- (* z z) t))

series504.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
85.0ms	(* (* y 4.0) (- (* z z) t))
105.0ms	(* (* y 4.0) (- (* z z) t))
109.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1809
1	333
0	118

prune631.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (* (sqrt (- (* z z) t)) 4.0))
0.2b	(* (* y (* (sqrt (- (* z z) t)) 4.0)) (sqrt (- (* z z) t)))
5.2b	(sqrt (- (* z z) t))
5.2b	(sqrt (- (* z z) t))

rewrite348.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

46.0ms	(* y (* (sqrt (- (* z z) t)) 4.0))
265.0ms	(* (* y (* (sqrt (- (* z z) t)) 4.0)) (sqrt (- (* z z) t)))
14.0ms	(sqrt (- (* z z) t))
16.0ms	(sqrt (- (* z z) t))

series318.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* y (* (sqrt (- (* z z) t)) 4.0))
111.0ms	(* (* y (* (sqrt (- (* z z) t)) 4.0)) (sqrt (- (* z z) t)))
65.0ms	(sqrt (- (* z z) t))
64.0ms	(sqrt (- (* z z) t))

simplify1.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1747
1	373
0	137

prune605.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 1.7b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (sqrt (sqrt (- (* z z) t))) (* (sqrt (- (* z z) t)) y)) 4.0) (sqrt (sqrt (- (* z z) t))))
5.2b	(sqrt (- (* z z) t))
5.2b	(sqrt (- (* z z) t))
5.2b	(sqrt (- (* z z) t))

rewrite915.0ms

Algorithm

rewrite-expression-head

Rules

96×	`sqrt-div`
56×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
23×	`sqrt-prod`
21×	`pow1`
18×	`add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
10×	`-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
8×	`associate-*r/`
4×	`add-log-exp` `difference-of-squares`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`associate-l` `*-commutative`

Counts

4 → 105

Calls

4 calls:

874.0ms	(* (* (* (sqrt (sqrt (- (* z z) t))) (* (sqrt (- (* z z) t)) y)) 4.0) (sqrt (sqrt (- (* z z) t))))
8.0ms	(sqrt (- (* z z) t))
8.0ms	(sqrt (- (* z z) t))
14.0ms	(sqrt (- (* z z) t))

series270.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* (* (sqrt (sqrt (- (* z z) t))) (* (sqrt (- (* z z) t)) y)) 4.0) (sqrt (sqrt (- (* z z) t))))
63.0ms	(sqrt (- (* z z) t))
68.0ms	(sqrt (- (* z z) t))
80.0ms	(sqrt (- (* z z) t))

simplify1.5s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	2903
1	556
0	197

prune944.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 1.7b

regimes1.4s

Accuracy

67.8% (1.1b remaining)

Error of 3.7b against oracle of 2.6b and baseline of 6.0b

bsearch1.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	25
1	25
0	20

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

15904×

body

valid