Details

sample38.0ms

Algorithm

intervals

Results

17.0ms

272×

body

valid

simplify8.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize17.0ms

Local error

Found 2 expressions with local error:

3.2b	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.0b	(* y (+ 1.0 (* z z)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-*r/`
3×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod` `div-inv`
2×	`flip3-+` `associate-/r/` `flip-+` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `associate-/l/` `unswap-sqr`

Counts

2 → 70

Calls

2 calls:

46.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
32.0ms	(* y (+ 1.0 (* z z)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
71.0ms	(* y (+ 1.0 (* z z)))

simplify52.0ms

Counts: 76 → 76

prune220.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
3.2b	(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
18.9b	(sqrt (+ 1.0 (* z z)))
18.9b	(sqrt (+ 1.0 (* z z)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac`
30×	`add-exp-log` `add-cbrt-cube`
28×	`sqrt-div`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-*r/`
14×	`flip3-+` `flip-+`
13×	`associate-/l*`
11×	`pow1`
9×	`cbrt-undiv` `div-exp` `prod-exp` `sqrt-prod` `cbrt-unprod`
8×	`frac-times` `associate-/r/`
6×	`associate-r`
4×	`associate-*l/` `add-log-exp`
3×	`pow-prod-down` `div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-2neg` `associate-l` `clear-num` `associate-/r` `-commutative` `associate-/l/`

Counts

4 → 117

Calls

4 calls:

47.0ms	(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
50.0ms	(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
5.0ms	(sqrt (+ 1.0 (* z z)))
6.0ms	(sqrt (+ 1.0 (* z z)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
74.0ms	(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
65.0ms	(sqrt (+ 1.0 (* z z)))
44.0ms	(sqrt (+ 1.0 (* z z)))

simplify57.0ms

Counts: 129 → 129

prune410.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ (/ (/ 1.0 x) (* y (sqrt (+ 1.0 (* z z))))) (sqrt (+ 1.0 (* z z))))
2.8b	(/ (/ 1.0 x) (* y (sqrt (+ 1.0 (* z z)))))
18.9b	(sqrt (+ 1.0 (* z z)))
18.9b	(sqrt (+ 1.0 (* z z)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

299×	`times-frac`
118×	`add-sqr-sqrt`
116×	`add-cube-cbrt` `*-un-lft-identity`
66×	`sqrt-prod`
34×	`add-exp-log` `add-cbrt-cube`
32×	`associate-/l*`
22×	`sqrt-div`
18×	`associate-/r/` `div-inv`
17×	`cbrt-undiv` `div-exp`
16×	`associate-*r/`
11×	`flip3-+` `flip-+`
7×	`associate-/r*`
6×	`pow1`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/l/`

Counts

4 → 240

Calls

4 calls:

48.0ms	(/ (/ (/ 1.0 x) (* y (sqrt (+ 1.0 (* z z))))) (sqrt (+ 1.0 (* z z))))
25.0ms	(/ (/ 1.0 x) (* y (sqrt (+ 1.0 (* z z)))))
8.0ms	(sqrt (+ 1.0 (* z z)))
8.0ms	(sqrt (+ 1.0 (* z z)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(/ (/ (/ 1.0 x) (* y (sqrt (+ 1.0 (* z z))))) (sqrt (+ 1.0 (* z z))))
118.0ms	(/ (/ 1.0 x) (* y (sqrt (+ 1.0 (* z z)))))
66.0ms	(sqrt (+ 1.0 (* z z)))
60.0ms	(sqrt (+ 1.0 (* z z)))

simplify105.0ms

Counts: 252 → 252

prune957.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
2.1b	(/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) (* y (sqrt (+ 1.0 (* z z)))))
18.9b	(sqrt (+ 1.0 (* z z)))
18.9b	(sqrt (+ 1.0 (* z z)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
29×	`add-cbrt-cube`
18×	`cbrt-undiv` `div-exp`
13×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`times-frac`
6×	`pow1` `sqrt-div` `sqrt-prod`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-prod` `flip3-+` `flip-+` `div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/` `associate-/r/`
1×	`frac-2neg` `pow1/3` `clear-num` `associate-/r*` `associate-/l/`

Counts

4 → 85

Calls

4 calls:

1.0ms	(cbrt x)
54.0ms	(/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) (* y (sqrt (+ 1.0 (* z z)))))
8.0ms	(sqrt (+ 1.0 (* z z)))
7.0ms	(sqrt (+ 1.0 (* z z)))

series779.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt x)
402.0ms	(/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) (* y (sqrt (+ 1.0 (* z z)))))
64.0ms	(sqrt (+ 1.0 (* z z)))
65.0ms	(sqrt (+ 1.0 (* z z)))

simplify76.0ms

Counts: 97 → 97

prune345.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.0b

regimes218.0ms

Accuracy

-29.2% (1.4b remaining)

Error of 6.6b against oracle of 5.2b and baseline of 6.3b

bsearch0.0ms

simplify10.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

790.0ms

8619×

body

valid