Details

sample12.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify22.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
3×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

56.0ms

(+ (+ x y) x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(+ (+ x y) x)

simplify1.8s

Counts: 18 → 18

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ x y) x))
0.0b	(+ (+ x y) x)
0.0b	(+ (+ x y) x)
0.3b	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

rewrite394.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
43×	`sqrt-prod`
33×	`distribute-lft-out`
26×	`add-sqr-sqrt`
20×	`pow1`
16×	`swap-sqr`
14×	`sqrt-div` `add-log-exp`
13×	`add-cube-cbrt`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log` `sum-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+l+` `associate-r/` `associate-l/`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 116

Calls

4 calls:

58.0ms	(sqrt (+ (+ x y) x))
31.0ms	(+ (+ x y) x)
58.0ms	(+ (+ x y) x)
235.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt (+ (+ x y) x))
38.0ms	(+ (+ x y) x)
30.0ms	(+ (+ x y) x)
38.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify679.0ms

Counts: 128 → 128

prune286.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (pow (+ x y) 3) (pow x 3))
2.6b	(+ (* x (- x (+ x y))) (* (+ x y) (+ x y)))
3.1b	(- x (+ x y))
38.7b	(/ (+ (pow (+ x y) 3) (pow x 3)) (+ (* x (- x (+ x y))) (* (+ x y) (+ x y))))

rewrite491.0ms

Algorithm

rewrite-expression-head

Rules

137×	`*-un-lft-identity`
66×	`distribute-lft-out`
40×	`unpow-prod-down` `cube-prod` `associate-*r/`
39×	`times-frac`
32×	`frac-add`
28×	`flip3-+` `flip-+`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
18×	`associate-/r/`
17×	`flip3--` `flip--`
16×	`frac-times`
13×	`associate-/l*` `add-log-exp`
8×	`associate-*l/`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sum-cubes`
4×	`pow1` `associate-+l+`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/r*` `sum-log`
2×	`+-commutative` `associate-+r+` `diff-log` `associate-/l/` `distribute-lft-out--`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate--r+` `difference-of-squares`

Counts

4 → 158

Calls

4 calls:

97.0ms	(+ (pow (+ x y) 3) (pow x 3))
41.0ms	(+ (* x (- x (+ x y))) (* (+ x y) (+ x y)))
17.0ms	(- x (+ x y))
324.0ms	(/ (+ (pow (+ x y) 3) (pow x 3)) (+ (* x (- x (+ x y))) (* (+ x y) (+ x y))))

series337.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(+ (pow (+ x y) 3) (pow x 3))
32.0ms	(+ (* x (- x (+ x y))) (* (+ x y) (+ x y)))
10.0ms	(- x (+ x y))
178.0ms	(/ (+ (pow (+ x y) 3) (pow x 3)) (+ (* x (- x (+ x y))) (* (+ x y) (+ x y))))

simplify1.7s

Counts: 170 → 170

prune505.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x y))
3.1b	(- (+ x y) x)
14.8b	(/ (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x))
17.3b	(- (* (+ x y) (+ x y)) (* x x))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
24×	`times-frac`
20×	`add-cube-cbrt`
14×	`difference-of-squares`
12×	`distribute-lft-out` `distribute-lft-out--`
11×	`pow1` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `swap-sqr` `associate-/r*` `flip-+`
4×	`frac-times` `flip3--` `associate-r` `associate-l` `flip--` `associate-/l*`
3×	`diff-log` `associate--l+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

47.0ms	(* (+ x y) (+ x y))
50.0ms	(- (+ x y) x)
119.0ms	(/ (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x))
33.0ms	(- (* (+ x y) (+ x y)) (* x x))

series180.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ x y) (+ x y))
9.0ms	(- (+ x y) x)
60.0ms	(/ (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x))
87.0ms	(- (* (+ x y) (+ x y)) (* x x))

simplify1.4s

Counts: 135 → 135

prune285.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

simplify15.0ms

end0.0ms

sample908.0ms

Algorithm

intervals

Results

215.0ms

8004×

body

valid