Details

analyze384.0ms (15.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	50%	25%	4
25%	37.5%	37.5%	5
25%	31.2%	43.8%	6
25%	28.1%	46.9%	7
25%	26.5%	48.5%	8
25%	25.8%	49.2%	9
25%	25.4%	49.6%	10
25%	25.2%	49.8%	11
25%	25.1%	49.9%	12
25%	25%	50%	13
25%	25%	50%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.7s (69.7%)

Results

882.0ms	8256×	body	128	valid
770.0ms	8119×	body	128	invalid

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify28.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

868×	`fma-neg_binary64`
396×	`unsub-neg_binary64`
348×	`distribute-neg-in_binary64`
330×	`fma-def_binary64`
262×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	18	12
2	22	12
3	37	12
4	78	12
5	154	12
6	360	12
7	751	12
8	2365	12
9	4284	12

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

31.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	31.5b	(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
✓	0.0b	(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
✓	29.4b	(sqrt.f64 (fma.f64 x x -1))

series11.0ms (0.4%)

Counts

3 → 36

Calls

3 calls:

5.0ms	(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
3.0ms	(sqrt.f64 (fma.f64 x x -1))
3.0ms	(+.f64 x (sqrt.f64 (fma.f64 x x -1)))

rewrite43.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

671×	`log1p-expm1-u_binary64`
671×	`expm1-log1p-u_binary64`
615×	`prod-diff_binary64`
81×	`egg-rr`
69×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	29
1	142	29
2	1814	29

Stop Event

1×	node limit

Counts

3 → 81

Calls

3 calls:

41.0ms	(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
41.0ms	(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
41.0ms	(sqrt.f64 (fma.f64 x x -1))

simplify37.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

442×	`fma-neg_binary64`
301×	`sub-neg_binary64`
257×	`distribute-neg-frac_binary64`
230×	`fma-def_binary64`
183×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	681
1	307	648
2	920	646
3	3390	646

Stop Event

1×	node limit

Counts

117 → 144

prune71.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	143	2	145

Error

Counts

145 → 2

Alt Table

Status	Error	Program
▶	0.2b	(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
✓	31.5b	(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))

Compiler

Compiled 2211 to 1640 computations (25.8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))

series3.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))

rewrite31.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
283×	`log-prod_binary64`
126×	`expm1-udef_binary64`
126×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	146	10
2	1652	10

Stop Event

1×	node limit

Counts

1 → 26

Calls

1 calls:

31.0ms

(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))

simplify22.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-def_binary64`
409×	`cancel-sign-sub-inv_binary64`
350×	`sub-neg_binary64`
309×	`fma-neg_binary64`
240×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	272
1	162	258
2	510	258
3	1988	258

Stop Event

1×	node limit

Counts

38 → 48

prune29.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	48	2	50

Error

Counts

50 → 2

Alt Table

Status	Error	Program
✓	0.2b	(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
✓	31.5b	(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))

Compiler

Compiled 727 to 564 computations (22.4% saved)

regimes24.0ms (1%)

Accuracy

Total 0.2b remaining (75.3%)

Threshold costs 0.2b (75.3%)

Counts

7 → 1

Compiler

Compiled 192 to 139 computations (27.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10

Stop Event

1×

saturated

end47.0ms (1.9%)

Compiler: Compiled 33 to 24 computations (27.3% saved)

Details

analyze384.0ms (15.6%)

sample1.7s (69.7%)

simplify28.0ms (1.2%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series11.0ms (0.4%)

rewrite43.0ms (1.7%)

simplify37.0ms (1.5%)

prune71.0ms (2.9%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite31.0ms (1.3%)

simplify22.0ms (0.9%)

prune29.0ms (1.2%)

regimes24.0ms (1%)

simplify2.0ms (0.1%)

end47.0ms (1.9%)

Profiling