Details

sample28.0ms

Algorithm

intervals

Results

15.0ms	255×	body	80	valid
0.0ms	1×	body	2560	valid

simplify30.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
0.0b	(/ (* x y) 2.0)
9.3b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

31.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
11.0ms	(/ (* x y) 2.0)
22.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series147.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
33.0ms	(/ (* x y) 2.0)
75.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify523.0ms

Counts: 78 → 78

prune156.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.0b	(/ (* x y) 2.0)
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
9.3b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
101×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
22×	`add-exp-log` `associate-/r*`
16×	`add-cbrt-cube` `distribute-lft-out`
10×	`div-exp`
8×	`div-inv` `associate-/l*`
6×	`cbrt-undiv` `add-log-exp`
5×	`pow1` `difference-of-squares`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `flip3-+` `diff-log` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `inv-pow`

Counts

4 → 161

Calls

4 calls:

41.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
10.0ms	(/ (* x y) 2.0)
21.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
36.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series203.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
22.0ms	(/ (* x y) 2.0)
84.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
58.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify1.0s

Counts: 173 → 173

prune374.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 1 (+ (* (/ 1.0 2.0) x) (* 1.0 (/ 1 y)))))
0.1b	(/ 1 (+ (* (/ 1.0 2.0) x) (* 1.0 (/ 1 y))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
11×	`times-frac`
10×	`add-cube-cbrt`
6×	`add-exp-log`
4×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/r` `associate-/l` `difference-of-squares`
2×	`div-exp` `associate-*l/` `frac-add` `div-inv` `distribute-lft-out--`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `flip3--` `pow-flip` `frac-2neg` `flip3-+` `diff-log` `1-exp` `associate-*r/` `clear-num` `un-div-inv` `flip--` `flip-+` `inv-pow`

Counts

2 → 52

Calls

2 calls:

33.0ms	(- x (/ 1 (+ (* (/ 1.0 2.0) x) (* 1.0 (/ 1 y)))))
36.0ms	(/ 1 (+ (* (/ 1.0 2.0) x) (* 1.0 (/ 1 y))))

series104.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- x (/ 1 (+ (* (/ 1.0 2.0) x) (* 1.0 (/ 1 y)))))
57.0ms	(/ 1 (+ (* (/ 1.0 2.0) x) (* 1.0 (/ 1 y))))

simplify681.0ms

Counts: 58 → 58

prune137.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* 1 y) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
9.5b	(cbrt (+ 1.0 (/ (* x y) 2.0)))
9.5b	(cbrt (+ 1.0 (/ (* x y) 2.0)))
9.5b	(cbrt (+ 1.0 (/ (* x y) 2.0)))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

108×	`add-exp-log`
54×	`prod-exp`
37×	`div-exp`
28×	`add-cbrt-cube`
21×	`*-un-lft-identity`
20×	`cbrt-div`
17×	`add-sqr-sqrt`
16×	`cbrt-prod`
15×	`1-exp` `associate-l` `cbrt-unprod`
13×	`associate-r`
12×	`cbrt-undiv` `add-cube-cbrt` `times-frac`
10×	`flip3-+` `associate-/r/` `flip-+`
8×	`rec-exp`
6×	`pow1`
5×	`frac-times`
4×	`distribute-lft-out` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/` `unswap-sqr`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 122

Calls

4 calls:

240.0ms	(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* 1 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)))
10.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (* 1 y) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
364.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
393.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
321.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))

simplify1.1s

Counts: 134 → 134

prune466.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify9.0s

end0.0ms

sample978.0ms

Algorithm

intervals

Results

733.0ms	7998×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid