Details

analyze4.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample745.0ms (72.3%)

Results

717.0ms

8256×

body

128

valid

Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify6.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 47 to 35 computations (25.5% saved)

localize6.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓	0.0b	(/.f64 x (+.f64 x 1))
✓	0.0b	(/.f64 1 (-.f64 x 1))

series7.0ms (0.7%)

Counts

3 → 36

Calls

3 calls:

2.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
2.0ms	(/.f64 1 (-.f64 x 1))
2.0ms	(/.f64 x (+.f64 x 1))

rewrite58.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`fma-def_binary64`
249×	`fma-neg_binary64`
229×	`log-div_binary64`
168×	`expm1-udef_binary64`
168×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	194	30
2	3099	30

Stop Event

1×	node limit

Counts

3 → 138

Calls

3 calls:

56.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
56.0ms	(/.f64 x (+.f64 x 1))
56.0ms	(/.f64 1 (-.f64 x 1))

simplify29.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

479×	`fma-neg_binary64`
456×	`cancel-sign-sub-inv_binary64`
428×	`associate-l_binary64`
321×	`associate-r_binary64`
209×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	488
1	183	470
2	551	457
3	1751	453

Stop Event

1×	node limit

Counts

174 → 178

prune102.0ms (9.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	177	2	179

Error

Counts

179 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
▶	31.6b	(fma.f64 x (*.f64 x -2) -1)

Compiler

Compiled 3034 to 2268 computations (25.2% saved)

localize3.0ms (0.3%)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓	31.6b	(fma.f64 x (*.f64 x -2) -1)

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes23.0ms (2.3%)

Accuracy

Total 0.0b remaining (38%)

Threshold costs 0.0b (38%)

Counts

13 → 1

Compiler

Compiled 286 to 214 computations (25.2% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16

Stop Event

1×

saturated

end40.0ms (3.9%)

Compiler: Compiled 43 to 32 computations (25.6% saved)

Details

analyze4.0ms (0.4%)

sample745.0ms (72.3%)

simplify6.0ms (0.6%)

prune3.0ms (0.3%)

localize6.0ms (0.6%)

series7.0ms (0.7%)

rewrite58.0ms (5.7%)

simplify29.0ms (2.8%)

prune102.0ms (9.9%)

localize3.0ms (0.3%)

prune1.0ms (0.1%)

regimes23.0ms (2.3%)

simplify2.0ms (0.2%)

end40.0ms (3.9%)

Profiling