Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

314×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	3
1	44	3
2	99	3
3	181	3
4	233	3
5	239	3
6	239	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`flip3-+` `flip-+`
5×	`add-sqr-sqrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`associate-r/` `associate-l/` `distribute-lft-out`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

8.0ms

(* (+ x y) (+ z 1.0))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* (+ x y) (+ z 1.0))

simplify35.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	277	192
1	1225	178
2	5001	178

prune70.0ms

Filtered

35 candidates to 26 candidates (74.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	3	36

Merged error: 0b

Counts

36 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* z (+ x y)) (fma 1.0 x (* 1.0 y)))
0.0b	(* z (+ x y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `associate-+r+` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

6.0ms	(+ (* z (+ x y)) (fma 1.0 x (* 1.0 y)))
6.0ms	(* z (+ x y))

series71.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* z (+ x y)) (fma 1.0 x (* 1.0 y)))
26.0ms	(* z (+ x y))

simplify36.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	228	218
1	1062	196
2	5001	187

prune84.0ms

Filtered

48 candidates to 35 candidates (72.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Merged error: 0b

Counts

51 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ z 1.0))
0.0b	(sqrt (+ z 1.0))
0.1b	(* (+ x y) (sqrt (+ z 1.0)))
0.1b	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
21×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`sqrt-prod`
16×	`associate-*l/`
14×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
5×	`associate-l` `distribute-lft-out`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `hypot-def` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

7.0ms	(sqrt (+ z 1.0))
3.0ms	(sqrt (+ z 1.0))
9.0ms	(* (+ x y) (sqrt (+ z 1.0)))
14.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sqrt (+ z 1.0))
45.0ms	(sqrt (+ z 1.0))
79.0ms	(* (+ x y) (sqrt (+ z 1.0)))
30.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	499	1061
1	1832	936
2	5003	918

prune283.0ms

Filtered

134 candidates to 95 candidates (70.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	134	3	137

Merged error: 0b

Counts

137 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x z (fma z y (* 1.0 y)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x z (fma z y (* 1.0 y)))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(fma x z (fma z y (* 1.0 y)))

simplify91.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	58
1	93	51
2	467	51
3	3255	51
4	5001	51

prune26.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	13	3	16

Merged error: 0b

Counts

16 → 3

regimes76.0ms

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	13	5
1	13	5

end0.0ms

sample424.0ms

Algorithm

intervals

Results

229.0ms	10191×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid