Details

sample16.0ms

Algorithm

intervals

Results

5.0ms

269×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	16	3
2	18	3
3	18	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
13×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-sub` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 54

Calls

1 calls:

25.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify65.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	228	361
1	634	347
2	2142	347
3	5002	347

prune116.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

712×	`*-un-lft-identity`
702×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
412×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 571

Calls

3 calls:

12.0ms	(/ x (- z y))
118.0ms	(- (/ x (- z y)) (/ y (- z y)))
12.0ms	(/ y (- z y))

series147.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ x (- z y))
72.0ms	(- (/ x (- z y)) (/ y (- z y)))
47.0ms	(/ y (- z y))

simplify204.0ms

Algorithm

egg-herbie

Counts

580 → 580

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	1209	15592
1	3240	11621
2	5001	10388

prune745.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (- z y))
0.0b	(- (/ x (- z y)) (/ 1 (/ (- z y) y)))
0.0b	(/ (- z y) y)
0.5b	(/ 1 (/ (- z y) y))

rewrite709.0ms

Algorithm

rewrite-expression-head

Rules

3255×	`times-frac`
2463×	`add-sqr-sqrt`
2446×	`*-un-lft-identity`
1634×	`add-cube-cbrt`
1302×	`prod-diff`
408×	`difference-of-squares`
403×	`distribute-lft-out--`
155×	`div-inv`
150×	`associate-/r/`
66×	`flip3--` `flip--`
27×	`associate-/r*`
21×	`fma-neg`
19×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`associate-/l*`
9×	`div-exp`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `frac-sub` `inv-pow`

Counts

4 → 1533

Calls

4 calls:

11.0ms	(/ x (- z y))
173.0ms	(- (/ x (- z y)) (/ 1 (/ (- z y) y)))
22.0ms	(/ (- z y) y)
18.0ms	(/ 1 (/ (- z y) y))

series180.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ x (- z y))
68.0ms	(- (/ x (- z y)) (/ 1 (/ (- z y) y)))
34.0ms	(/ (- z y) y)
44.0ms	(/ 1 (/ (- z y) y))

simplify485.0ms

Algorithm

egg-herbie

Counts

1545 → 1545

Iterations

Useful iterations: 1 (69.0ms)

Iter	Nodes	Cost
0	3207	59302
1	5002	42203

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z y) y)
0.1b	(* (- z y) (/ (- z y) y))
2.4b	(fma x (/ (- z y) y) (- (- z y)))
16.1b	(/ (fma x (/ (- z y) y) (- (- z y))) (* (- z y) (/ (- z y) y)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
34×	`times-frac`
26×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
8×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-undiv` `div-exp`
5×	`flip3--` `associate-l` `associate-/r/` `flip--`
4×	`expm1-log1p-u` `frac-times` `associate-l/` `prod-exp` `associate-/r` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`frac-2neg` `associate-*r/` `clear-num` `associate-/l/` `unswap-sqr`
1×	`div-sub` `pow-prod-down` `*-commutative` `fma-udef`

Counts

4 → 126

Calls

4 calls:

18.0ms	(/ (- z y) y)
47.0ms	(* (- z y) (/ (- z y) y))
0.0ms	(fma x (/ (- z y) y) (- (- z y)))
20.0ms	(/ (fma x (/ (- z y) y) (- (- z y))) (* (- z y) (/ (- z y) y)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (- z y) y)
28.0ms	(* (- z y) (/ (- z y) y))
41.0ms	(fma x (/ (- z y) y) (- (- z y)))
127.0ms	(/ (fma x (/ (- z y) y) (- (- z y))) (* (- z y) (/ (- z y) y)))

simplify89.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	425	1019
1	2144	880
2	5002	875

prune365.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5

end0.0ms

sample395.0ms

Algorithm

intervals

Results

168.0ms

8347×

body

valid