Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

325×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (34.0ms)

Iter	Nodes	Cost
0	22	6
1	46	6
2	111	6
3	237	6
4	405	6
5	595	6
6	919	6
7	2627	5
8	5001	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 0.25 (/ (- x z) y))
0.0b	(/ (- x z) y)
0.0b	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
15×	`times-frac`
13×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`pow1` `associate-/r*`
2×	`+-commutative` `associate-+r+` `flip3-+` `div-sub` `sum-log` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `associate-+r-` `flip3--` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

9.0ms	(+ 0.25 (/ (- x z) y))
6.0ms	(/ (- x z) y)
3.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

series70.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ 0.25 (/ (- x z) y))
29.0ms	(/ (- x z) y)
26.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

simplify35.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	326	399
1	1055	367
2	5002	367

prune156.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x z) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 38

Calls

1 calls:

7.0ms

(/ (- x z) y)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(/ (- x z) y)

simplify110.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	156	197
1	435	187
2	1461	187
3	4607	186
4	5003	186

prune85.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`times-frac`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`add-cube-cbrt` `add-log-exp`
2×	`div-inv`
1×	`pow1` `add-exp-log` `sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--` `sub-div`

Counts

1 → 23

Calls

1 calls:

16.0ms

(- (/ x y) (/ z y))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(- (/ x y) (/ z y))

simplify46.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	117	151
1	253	143
2	572	143
3	1563	143
4	5001	143

prune78.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample503.0ms

Algorithm

intervals

Results

299.0ms

10092×

body

valid