Details

sample34.0ms

Algorithm

intervals

Results

18.0ms

284×

body

valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	63	4
3	107	4
4	169	4
5	239	4
6	288	4
7	356	4
8	407	4
9	533	4
10	755	4
11	1256	4
12	1302	4
13	1304	4
14	1304	4

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
0.3b	(fma (/ (- y z) (- a z)) t x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

12.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) t x)

series39.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/ (- y z) (- a z))
28.0ms	(fma (/ (- y z) (- a z)) t x)

simplify61.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	258	433
1	705	410
2	2399	410
3	5001	410

prune482.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (- a z)) (/ z (- a z)))
0.0b	(/ y (- a z))
0.0b	(/ z (- a z))
0.3b	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
413×	`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*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 581

Calls

4 calls:

69.0ms	(- (/ y (- a z)) (/ z (- a z)))
5.0ms	(/ y (- a z))
5.0ms	(/ z (- a z))
0.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

series88.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (/ y (- a z)) (/ z (- a z)))
8.0ms	(/ y (- a z))
5.0ms	(/ z (- a z))
58.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

simplify181.0ms

Algorithm

egg-herbie

Counts

593 → 593

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	1233	15689
1	3297	11705
2	5001	11613

prune3.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.3b	(fma (/ 1 (/ (- a z) (- y z))) t x)
0.4b	(/ 1 (/ (- a z) (- y z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

12.0ms	(/ (- a z) (- y z))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)
14.0ms	(/ 1 (/ (- a z) (- y z)))

series94.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(/ (- a z) (- y z))
51.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)
32.0ms	(/ 1 (/ (- a z) (- y z)))

simplify76.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	620	1891
1	2764	1708
2	5003	1537

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a z))
0.0b	(/ 1 (- y z))
0.2b	(/ (/ 1 (- a z)) (/ 1 (- y z)))
0.3b	(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) t x)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
700×	`add-sqr-sqrt` `*-un-lft-identity`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
52×	`add-exp-log`
47×	`div-inv`
46×	`flip3--` `flip--`
36×	`div-exp`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`fma-udef` `associate-/l/`

Counts

4 → 613

Calls

4 calls:

5.0ms	(/ 1 (- a z))
6.0ms	(/ 1 (- y z))
28.0ms	(/ (/ 1 (- a z)) (/ 1 (- y z)))
0.0ms	(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) t x)

series73.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (- a z))
4.0ms	(/ 1 (- y z))
18.0ms	(/ (/ 1 (- a z)) (/ 1 (- y z)))
47.0ms	(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) t x)

simplify119.0ms

Algorithm

egg-herbie

Counts

625 → 625

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	2183	7536
1	5002	6626

prune2.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes650.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6

end0.0ms

sample777.0ms

Algorithm

intervals

Results

511.0ms	8754×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid