Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
9.8b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`times-frac`
15×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`associate-/r*`
5×	`distribute-lft-out`
4×	`pow1` `associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`frac-2neg` `flip3-+` `clear-num` `associate-/r/` `flip-+` `div-inv` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `prod-exp` `sum-log` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

4 → 81

Calls

4 calls:

15.0ms	(/ (* x y) 2.0)
13.0ms	(+ 1.0 (/ (* x y) 2.0))
50.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
22.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* x y) 2.0)
43.0ms	(+ 1.0 (/ (* x y) 2.0))
41.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
316.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify38.0ms

Counts: 93 → 93

prune216.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
10.0b	(cbrt (+ 1.0 (/ (* x y) 2.0)))
10.0b	(cbrt (+ 1.0 (/ (* x y) 2.0)))
10.0b	(cbrt (+ 1.0 (/ (* x y) 2.0)))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`times-frac`
27×	`cbrt-prod` `associate-r`
23×	`add-cube-cbrt`
20×	`cbrt-div` `prod-exp`
18×	`add-cbrt-cube`
15×	`div-exp` `associate-l`
10×	`flip3-+` `associate-/r/` `flip-+`
9×	`unswap-sqr`
8×	`cbrt-unprod`
7×	`cbrt-undiv`
6×	`pow1` `distribute-lft-out`
5×	`frac-times`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 125

Calls

4 calls:

194.0ms	(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
6.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))

series1.0s

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
312.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
304.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
306.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))

simplify82.0ms

Counts: 137 → 137

prune587.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.1b	(pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3)
9.8b	(/ y (+ 1.0 (/ (* x y) 2.0)))
40.9b	(cbrt (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity`
63×	`times-frac`
49×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`cbrt-prod`
36×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out`
14×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r/`
7×	`associate-/r*`
6×	`div-inv`
5×	`pow1` `flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp` `associate-/l*` `add-log-exp`
3×	`pow-unpow`
2×	`cube-div` `cube-mult` `frac-2neg` `unpow3` `pow-exp` `clear-num` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `pow1/3` `prod-exp` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 162

Calls

4 calls:

14.0ms	(/ (* x y) 2.0)
18.0ms	(pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3)
21.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))
25.0ms	(cbrt (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3))

series395.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* x y) 2.0)
115.0ms	(pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3)
105.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))
142.0ms	(cbrt (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3))

simplify66.0ms

Counts: 174 → 174

prune328.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
0.1b	(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
5.0b	(sqrt (+ 1.0 (/ (* x y) 2.0)))
5.0b	(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac`
306×	`*-un-lft-identity`
232×	`sqrt-prod`
192×	`add-sqr-sqrt`
190×	`add-cube-cbrt`
58×	`distribute-lft-out`
30×	`associate-/l*`
24×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
12×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`associate-/l/`

Counts

4 → 317

Calls

4 calls:

19.0ms	(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
46.0ms	(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
17.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
12.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

series574.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
89.0ms	(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
106.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
108.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify105.0ms

Counts: 329 → 329

prune794.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

end0.0ms

sample734.0ms

Algorithm

intervals

Results

470.0ms	7999×	body	80	valid
0.0ms	1×	body	2560	valid