Details

analyze533.0ms (22.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
55.6%	39.2%	5.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.0s (42.7%)

Results

908.0ms	8256×	body	128	valid
103.0ms	971×	body	128	invalid

Compiler

Compiled 30 to 22 computations (26.7% saved)

preprocess29.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

738×	`fma-def_binary64`
512×	`times-frac_binary64`
268×	`div-sub_binary64`
246×	`fma-neg_binary64`
235×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	64
1	69	64
2	178	56
3	587	56
4	1723	56
0	3	3

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify20.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

795×	`fma-def_binary64`
760×	`times-frac_binary64`
398×	`associate-/l*_binary64`
350×	`div-sub_binary64`
279×	`fma-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	24	16
2	59	14
3	184	14
4	522	14
5	1675	11

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.3b	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
▶	0.2b	(fma.f64 (-.f64 x y) (/.f64 4 z) -2)

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (-.f64 x y) (/.f64 4 z) -2)

series13.0ms (0.5%)

Counts

1 → 36

Calls

9 calls:

3.0ms	(fma.f64 (-.f64 x y) (/.f64 4 z) -2)	x	0
2.0ms	(fma.f64 (-.f64 x y) (/.f64 4 z) -2)	z	-inf
1.0ms	(fma.f64 (-.f64 x y) (/.f64 4 z) -2)	x	inf
1.0ms	(fma.f64 (-.f64 x y) (/.f64 4 z) -2)	x	-inf
1.0ms	(fma.f64 (-.f64 x y) (/.f64 4 z) -2)	y	inf

rewrite38.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

418×	`log-prod_binary64`
368×	`prod-diff_binary64`
189×	`fma-def_binary64`
177×	`expm1-udef_binary64`
177×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	199	11
2	2528	11

Stop Event

1×	node limit

Counts

1 → 26

simplify54.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-neg_binary64`
628×	`fma-def_binary64`
283×	`cancel-sign-sub-inv_binary64`
93×	`distribute-rgt-in_binary64`
83×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	519
1	55	409
2	113	407
3	187	353
4	350	353
5	635	353
6	1232	353
7	2141	353
8	2902	353
9	3124	353
10	3293	353
11	3293	353

Stop Event

1×

saturated

Counts

62 → 39

prune24.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	39	2	41

Error

Counts

41 → 2

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
	24.2b	(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3))

Compiler

Compiled 521 to 328 computations (37% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series10.0ms (0.4%)

Counts

1 → 28

Calls

9 calls:

2.0ms	(/.f64 (-.f64 x y) z)	x	inf
1.0ms	(/.f64 (-.f64 x y) z)	x	-inf
1.0ms	(/.f64 (-.f64 x y) z)	x	0
1.0ms	(/.f64 (-.f64 x y) z)	y	-inf
1.0ms	(/.f64 (-.f64 x y) z)	y	inf

rewrite80.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`log1p-expm1-u_binary64`
835×	`expm1-log1p-u_binary64`
541×	`prod-diff_binary64`
179×	`egg-rr`
74×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	138	7
2	2108	7

Stop Event

1×	node limit

Counts

1 → 179

simplify30.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

279×	`fma-def_binary64`
145×	`fma-neg_binary64`
56×	`cancel-sign-sub-inv_binary64`
40×	`distribute-rgt-in_binary64`
40×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	250
1	24	250
2	48	228
3	92	184
4	182	184
5	356	184
6	651	184
7	1018	184
8	1064	184
9	1095	184
10	1100	184

Stop Event

1×

saturated

Counts

207 → 184

prune113.0ms (4.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	184	2	186

Error

Counts

186 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
▶	24.2b	(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3))

Compiler

Compiled 7068 to 2738 computations (61.3% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
✓	0.2b	(pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3)
✓	22.7b	(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3))

series48.0ms (2%)

Counts

2 → 72

Calls

18 calls:

6.0ms	(pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3)	x	inf
5.0ms	(pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3)	y	-inf
5.0ms	(pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3)	x	-inf
4.0ms	(pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3)	y	inf
4.0ms	(pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3)	x	0

rewrite51.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

368×	`prod-diff_binary64`
203×	`expm1-udef_binary64`
203×	`log1p-udef_binary64`
199×	`fma-def_binary64`
173×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	257	25
2	2970	25

Stop Event

1×	node limit

Counts

2 → 64

simplify55.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

600×	`fma-def_binary64`
444×	`times-frac_binary64`
330×	`associate-/l*_binary64`
230×	`sub-neg_binary64`
202×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	2873
1	436	2753
2	1742	2552

Stop Event

1×	node limit

Counts

136 → 115

prune96.0ms (4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	154	2	156

Error

Counts

156 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
✓	24.2b	(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3))

Compiler

Compiled 3399 to 2155 computations (36.6% saved)

regimes110.0ms (4.6%)

Accuracy

Total 0.0b remaining (28.8%)

Threshold costs 0.0b (28.8%)

Counts

22 → 1

Compiler

Compiled 1157 to 897 computations (22.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	11	11
2	16	11
3	18	11
4	19	11

Stop Event

1×

saturated

end44.0ms (1.8%)

Stop Event

1×

done

Compiler

Compiled 47 to 35 computations (25.5% saved)

Details

analyze533.0ms (22.2%)

sample1.0s (42.7%)

preprocess29.0ms (1.2%)

simplify20.0ms (0.8%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series13.0ms (0.5%)

rewrite38.0ms (1.6%)

simplify54.0ms (2.3%)

prune24.0ms (1%)

localize5.0ms (0.2%)

series10.0ms (0.4%)

rewrite80.0ms (3.4%)

simplify30.0ms (1.3%)

prune113.0ms (4.7%)

localize9.0ms (0.4%)

series48.0ms (2%)

rewrite51.0ms (2.1%)

simplify55.0ms (2.3%)

prune96.0ms (4%)

regimes110.0ms (4.6%)

simplify2.0ms (0.1%)

end44.0ms (1.8%)

Profiling