Details

sample45.0ms

Algorithm

intervals

Results

21.0ms

515×

body

valid

simplify60.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.4b	(* (* y 4.0) (- (* z z) t))

rewrite59.0ms

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:

10.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
48.0ms	(* (* y 4.0) (- (* z z) t))

series150.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
66.0ms	(* (* y 4.0) (- (* z z) t))

simplify41.0ms

Counts: 47 → 47

prune104.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.2b

localize19.0ms

Local error

Found 4 expressions with local error:

6.0b	(cbrt (* (* y 4.0) (- (* z z) t)))
6.4b	(* (* y 4.0) (- (* z z) t))
6.4b	(* (* y 4.0) (- (* z z) t))
6.4b	(* (* y 4.0) (- (* z z) t))

rewrite146.0ms

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:

21.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
41.0ms	(* (* y 4.0) (- (* z z) t))
38.0ms	(* (* y 4.0) (- (* z z) t))
44.0ms	(* (* y 4.0) (- (* z z) t))

series351.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
64.0ms	(* (* y 4.0) (- (* z z) t))
66.0ms	(* (* y 4.0) (- (* z z) t))
68.0ms	(* (* y 4.0) (- (* z z) t))

simplify37.0ms

Counts: 98 → 98

prune256.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.2b

localize15.0ms

Local error

Found 4 expressions with local error:

1.5b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
1.5b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
6.4b	(* (* y 4.0) (- (* z z) t))
6.4b	(* (* y 4.0) (- (* z z) t))

rewrite102.0ms

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))))
39.0ms	(* (* y 4.0) (- (* z z) t))
43.0ms	(* (* y 4.0) (- (* z z) t))

series435.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
153.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
64.0ms	(* (* y 4.0) (- (* z z) t))
69.0ms	(* (* y 4.0) (- (* z z) t))

simplify40.0ms

Counts: 92 → 92

prune246.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.2b

localize14.0ms

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)))
6.4b	(sqrt (- (* z z) t))
6.4b	(sqrt (- (* z z) t))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

39.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
121.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
11.0ms	(sqrt (- (* z z) t))
11.0ms	(sqrt (- (* z z) t))

series245.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
66.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
52.0ms	(sqrt (- (* z z) t))
50.0ms	(sqrt (- (* z z) t))

simplify52.0ms

Counts: 101 → 101

prune243.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.2b

regimes403.0ms

Accuracy

79.2% (0.8b remaining)

Error of 3.3b against oracle of 2.5b and baseline of 6.2b

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

928.0ms

16035×

body

valid