Details

analyze775.0ms (37.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1000.0ms (48.2%)

Results

832.0ms	8256×	body	128	valid
151.0ms	1428×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess40.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

427×	`fma-def_binary64`
190×	`fma-neg_binary64`
94×	`cancel-sign-sub-inv_binary64`
57×	`unsub-neg_binary64`
52×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	70
1	65	70
2	124	70
3	193	70
4	291	70
5	555	70
6	870	70
7	1239	70
8	1294	70
9	1302	70
10	1303	70
0	4	4
1	4	4

Stop Event

1×	unsound
1×	saturated

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify15.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

171×	`fma-def_binary64`
87×	`fma-neg_binary64`
37×	`cancel-sign-sub-inv_binary64`
23×	`distribute-rgt-neg-in_binary64`
20×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	16	10
2	31	10
3	48	10
4	75	10
5	123	10
6	204	10
7	305	10
8	407	10
9	523	10
10	581	10
11	587	10

Stop Event

1×

saturated

Counts

1 → 1

prune1.0ms (0.1%)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x y) (.f64 z t))

series9.0ms (0.4%)

Counts

1 → 48

Calls

12 calls:

1.0ms	(-.f64 (.f64 x y) (.f64 z t))	x	0
1.0ms	(-.f64 (.f64 x y) (.f64 z t))	x	-inf
1.0ms	(-.f64 (.f64 x y) (.f64 z t))	y	-inf
1.0ms	(-.f64 (.f64 x y) (.f64 z t))	x	inf
1.0ms	(-.f64 (.f64 x y) (.f64 z t))	y	inf

rewrite45.0ms (2.2%)

Algorithm

2×	batch-egg-rewrite

Rules

890×	`log1p-expm1-u_binary64`
890×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`
93×	`*-un-lft-identity_binary64`
93×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	179	10
2	2433	10
0	8	10

Stop Event

1×	saturated
1×	node limit

Counts

1 → 50

simplify31.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

172×	`fma-def_binary64`
87×	`fma-neg_binary64`
37×	`cancel-sign-sub-inv_binary64`
23×	`distribute-rgt-neg-in_binary64`
20×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	420
1	21	420
2	39	420
3	55	420
4	79	420
5	127	420
6	208	420
7	309	420
8	411	420
9	527	420
10	585	420
11	591	420

Stop Event

1×

saturated

Counts

98 → 55

prune24.0ms (1.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	1	56

Error

Counts

56 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 x y (neg.f64 (*.f64 z t)))

Compiler

Compiled 926 to 231 computations (75.1% saved)

localize5.0ms (0.3%)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(fma.f64 x y (neg.f64 (*.f64 z t)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes70.0ms (3.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

7 → 1

Compiler

Compiled 916 to 572 computations (37.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	26	10
3	31	10
4	33	10

Stop Event

1×

saturated

end52.0ms (2.5%)

Stop Event

1×

done

Remove

(sort z t)

(sort x y)

Compiler

Compiled 77 to 49 computations (36.4% saved)

Iter	Nodes	Cost
0	8	10
1	16	10
2	31	10
3	48	10
4	75	10
5	123	10
6	204	10
7	305	10
8	407	10
9	523	10
10	581	10
11	587	10

Iter	Nodes	Cost
0	10	420
1	21	420
2	39	420
3	55	420
4	79	420
5	127	420
6	208	420
7	309	420
8	411	420
9	527	420
10	585	420
11	591	420

Iter	Nodes	Cost
0	8	10
1	16	10
2	31	10
3	48	10
4	75	10
5	123	10
6	204	10
7	305	10
8	407	10
9	523	10
10	581	10
11	587	10

Iter	Nodes	Cost
0	10	420
1	21	420
2	39	420
3	55	420
4	79	420
5	127	420
6	208	420
7	309	420
8	411	420
9	527	420
10	585	420
11	591	420

Details

analyze775.0ms (37.4%)

sample1000.0ms (48.2%)

preprocess40.0ms (1.9%)

simplify15.0ms (0.7%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series9.0ms (0.4%)

rewrite45.0ms (2.2%)

simplify31.0ms (1.5%)

prune24.0ms (1.2%)

localize5.0ms (0.3%)

prune1.0ms (0%)

regimes70.0ms (3.4%)

simplify2.0ms (0.1%)

end52.0ms (2.5%)

Profiling

Iter	Nodes	Cost
0	8	10
1	16	10
2	31	10
3	48	10
4	75	10
5	123	10
6	204	10
7	305	10
8	407	10
9	523	10
10	581	10
11	587	10

Iter	Nodes	Cost
0	10	420
1	21	420
2	39	420
3	55	420
4	79	420
5	127	420
6	208	420
7	309	420
8	411	420
9	527	420
10	585	420
11	591	420