Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

327×

body

valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (57.0ms)

Iter	Nodes	Cost
0	20	5
1	47	5
2	146	5
3	356	5
4	750	5
5	1604	5
6	2577	5
7	5001	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (/ 4.0 z) (- x (fma 0.5 z y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
13×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow1`
2×	`frac-times` `sub-neg` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 62

Calls

1 calls:

10.0ms

(* (/ 4.0 z) (- x (fma 0.5 z y)))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* (/ 4.0 z) (- x (fma 0.5 z y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	393	670
1	1513	480
2	5001	468

prune109.0ms

Filtered

65 candidates to 38 candidates (58.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	64	3	67

Merged error: 0b

Counts

67 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 4.0 (/ y z) 2.0)
0.0b	(fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

1.0ms	(fma 4.0 (/ y z) 2.0)
1.0ms	(fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))

series53.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(fma 4.0 (/ y z) 2.0)
32.0ms	(fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 4 (53.0ms)

Iter	Nodes	Cost
0	47	133
1	122	117
2	409	117
3	2065	117
4	5002	114

prune64.0ms

Filtered

26 candidates to 21 candidates (80.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0b

Counts

29 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

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

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` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

6.0ms

(/ (- x (fma 0.5 z y)) z)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(/ (- x (fma 0.5 z y)) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	170	266
1	469	252
2	1622	252
3	5001	251

prune87.0ms

Filtered

43 candidates to 32 candidates (74.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	44	2	46

Merged error: 0b

Counts

46 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (- x (fma 0.5 z y)))
0.1b	(/ 1 (/ z (- x (fma 0.5 z y))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 149

Calls

2 calls:

5.0ms	(/ z (- x (fma 0.5 z y)))
9.0ms	(/ 1 (/ z (- x (fma 0.5 z y))))

series122.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(/ z (- x (fma 0.5 z y)))
35.0ms	(/ 1 (/ z (- x (fma 0.5 z y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	452	1296
1	2063	1167
2	5001	1046

prune229.0ms

Filtered

155 candidates to 79 candidates (51.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	155	2	157

Merged error: 0b

Counts

157 → 2

regimes41.0ms

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	10	5

end0.0ms

sample483.0ms

Algorithm

intervals

Results

271.0ms

10151×

body

valid