Details

analyze765.0ms (35.9%)

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)

sample1.0s (48.7%)

Symmetry

(sort x y)

(sort z t)

Results

841.0ms	8256×	body	128	valid
135.0ms	1427×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% 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))

series8.0ms (0.4%)

Counts

1 → 48

Calls

1 calls:

8.0ms

(-.f64 (*.f64 x y) (*.f64 z t))

rewrite44.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`log1p-expm1-u_binary64`
890×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`
86×	`add-cbrt-cube_binary64`
85×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	179	10
2	2419	10

Stop Event

1×	node limit

Counts

1 → 50

Calls

1 calls:

43.0ms

(-.f64 (*.f64 x y) (*.f64 z t))

simplify31.0ms (1.4%)

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

prune23.0ms (1.1%)

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

0.0b

Counts

56 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 z (neg.f64 t) (*.f64 y x))

Compiler

Compiled 926 to 230 computations (75.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 z (neg.f64 t) (*.f64 y x))

series11.0ms (0.5%)

Counts

1 → 48

Calls

1 calls:

10.0ms

(fma.f64 z (neg.f64 t) (*.f64 y x))

rewrite33.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`log1p-expm1-u_binary64`
631×	`expm1-log1p-u_binary64`
191×	`prod-diff_binary64`
133×	`expm1-udef_binary64`
133×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	160	8
2	1975	8

Stop Event

1×	node limit

Counts

1 → 23

Calls

1 calls:

33.0ms

(fma.f64 z (neg.f64 t) (*.f64 y x))

simplify30.0ms (1.4%)

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

71 → 27

prune8.0ms (0.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	1	28

Error

0.0b

Counts

28 → 1

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 z (neg.f64 t) (*.f64 y x))

Compiler

Compiled 292 to 88 computations (69.9% saved)

regimes66.0ms (3.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

6 → 1

Compiler

Compiled 550 to 390 computations (29.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	13	10
2	15	10
3	16	10

Stop Event

1×

saturated

end48.0ms (2.2%)

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	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

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

analyze765.0ms (35.9%)

sample1.0s (48.7%)

simplify15.0ms (0.7%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series8.0ms (0.4%)

rewrite44.0ms (2.1%)

simplify31.0ms (1.4%)

prune23.0ms (1.1%)

localize5.0ms (0.2%)

series11.0ms (0.5%)

rewrite33.0ms (1.6%)

simplify30.0ms (1.4%)

prune8.0ms (0.4%)

regimes66.0ms (3.1%)

simplify2.0ms (0.1%)

end48.0ms (2.2%)

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

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