Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify20.0ms

Counts: 1 → 1

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (+ x y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

28.0ms

(/ (- x y) (+ x y))

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(/ (- x y) (+ x y))

simplify673.0ms

Counts: 49 → 49

prune88.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ y (+ x y))
0.0b	(- (/ x (+ x y)) (/ y (+ x y)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
40×	`times-frac`
35×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
12×	`distribute-lft-out`
8×	`associate-/r*` `associate-/r/`
7×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`flip3-+` `flip-+` `div-inv` `difference-of-squares`
3×	`pow1` `distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

3 → 94

Calls

3 calls:

16.0ms	(/ x (+ x y))
11.0ms	(/ y (+ x y))
79.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series224.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ x (+ x y))
55.0ms	(/ y (+ x y))
108.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify908.0ms

Counts: 103 → 103

prune219.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (+ x y))
0.0b	(cbrt (pow (/ (- x y) (+ x y)) 3))
0.0b	(pow (/ (- x y) (+ x y)) 3)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
4×	`pow1` `associate-/r*`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `clear-num` `flip--` `rem-cbrt-cube`

Counts

3 → 186

Calls

3 calls:

34.0ms	(/ (- x y) (+ x y))
32.0ms	(cbrt (pow (/ (- x y) (+ x y)) 3))
28.0ms	(pow (/ (- x y) (+ x y)) 3)

series283.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (- x y) (+ x y))
114.0ms	(cbrt (pow (/ (- x y) (+ x y)) 3))
99.0ms	(pow (/ (- x y) (+ x y)) 3)

simplify817.0ms

Counts: 195 → 195

prune333.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (+ x y)) (* (/ y (- (* x x) (* y y))) (- x y)))
4.1b	(- (* x x) (* y y))
8.5b	(* (/ y (- (* x x) (* y y))) (- x y))
20.4b	(/ y (- (* x x) (* y y)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`times-frac`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
9×	`flip--` `difference-of-squares`
8×	`flip3--` `add-log-exp`
6×	`pow1` `sub-neg`
5×	`associate-r/` `associate-r*` `associate-/r/` `frac-sub`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-/r*` `associate--r+`
3×	`associate-/l*`
2×	`cbrt-undiv` `diff-log` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`distribute-rgt-out--` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `flip-+` `distribute-lft-out--` `sub-div`

Counts

4 → 116

Calls

4 calls:

88.0ms	(- (/ x (+ x y)) (* (/ y (- (* x x) (* y y))) (- x y)))
15.0ms	(- (* x x) (* y y))
67.0ms	(* (/ y (- (* x x) (* y y))) (- x y))
19.0ms	(/ y (- (* x x) (* y y)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(- (/ x (+ x y)) (* (/ y (- (* x x) (* y y))) (- x y)))
47.0ms	(- (* x x) (* y y))
113.0ms	(* (/ y (- (* x x) (* y y))) (- x y))
60.0ms	(/ y (- (* x x) (* y y)))

simplify1.1s

Counts: 128 → 128

prune327.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify23.0ms

end0.0ms

sample556.0ms

Algorithm

intervals

Results

285.0ms

8000×

body

valid