Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample4.5s (80.1%)

Results

2.6s	4105×	body	1024	valid
763.0ms	2038×	body	512	valid
374.0ms	457×	body	2048	valid
278.0ms	1082×	body	256	valid
74.0ms	574×	body	128	valid

Compiler

Compiled 41 to 35 computations (14.6% saved)

prune2.0ms (0%)

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

58.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	58.6b	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 39 to 33 computations (15.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
✓	4.8b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series5.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

rewrite52.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`log1p-expm1-u_binary64`
786×	`expm1-log1p-u_binary64`
187×	`prod-diff_binary64`
74×	`add-sqr-sqrt_binary64`
73×	`egg-rr`

Counts

2 → 73

Calls

2 calls:

50.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
50.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	150	20
2	1974	20
3	5211	20

prune51.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	2	98

Error

Counts

98 → 2

Alt Table

Status	Error	Program
	42.5b	(.f64 (/.f64 1 2) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))
▶	0.0b	(*.f64 (/.f64 1 2) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Status

Error

Program

42.5b

(*.f64 (/.f64 1 2) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))

▶

0.0b

(*.f64 (/.f64 1 2) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Compiler

Compiled 1914 to 1263 computations (34% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

series3.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

rewrite84.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`log1p-udef_binary64`
484×	`expm1-log1p-u_binary64`
482×	`log1p-expm1-u_binary64`
391×	`prod-diff_binary64`
300×	`unpow-prod-down_binary64`

Counts

1 → 94

Calls

1 calls:

81.0ms

(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	130	8
2	1224	8
3	4990	8
4	6467	8

prune42.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	106	2	108

Error

Counts

108 → 2

Alt Table

Status	Error	Program
▶	42.5b	(.f64 (/.f64 1 2) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))
✓	0.0b	(*.f64 (/.f64 1 2) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Status

Error

Program

▶

42.5b

(*.f64 (/.f64 1 2) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))

✓

0.0b

(*.f64 (/.f64 1 2) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Compiler

Compiled 2099 to 1086 computations (48.3% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (log1p.f64 x) (log1p.f64 x))
✓	0.0b	(pow.f64 (log1p.f64 (neg.f64 x)) 3)
✓	4.9b	(+.f64 (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	42.0b	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))

series367.0ms (6.5%)

Counts

4 → 48

Calls

4 calls:

345.0ms	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
9.0ms	(pow.f64 (log1p.f64 (neg.f64 x)) 3)
7.0ms	(+.f64 (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
6.0ms	(*.f64 (log1p.f64 x) (log1p.f64 x))

rewrite94.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`fma-def_binary64`
291×	`fma-neg_binary64`
216×	`expm1-udef_binary64`
216×	`log1p-udef_binary64`
212×	`egg-rr`

Counts

4 → 212

Calls

4 calls:

88.0ms	(*.f64 (log1p.f64 x) (log1p.f64 x))
88.0ms	(pow.f64 (log1p.f64 (neg.f64 x)) 3)
88.0ms	(+.f64 (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
88.0ms	(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	350	31
2	3434	31
3	4872	31

prune296.0ms (5.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	260	2	262

Error

Counts

262 → 2

Alt Table

Status	Error	Program
✓	42.5b	(.f64 (/.f64 1 2) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))
✓	0.0b	(*.f64 (/.f64 1 2) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Status

Error

Program

✓

42.5b

(*.f64 (/.f64 1 2) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))

✓

0.0b

(*.f64 (/.f64 1 2) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Compiler

Compiled 15890 to 10329 computations (35% saved)

regimes47.0ms (0.8%)

Accuracy

Total 0.0b remaining (48.2%)

Threshold costs 0.0b (48.2%)

Counts

12 → 1

Compiler

Compiled 936 to 706 computations (24.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	24	13
3	27	13
4	28	13
5	26	13

end50.0ms (0.9%)

Compiler: Compiled 65 to 42 computations (35.4% saved)

Details

analyze5.0ms (0.1%)

sample4.5s (80.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series5.0ms (0.1%)

rewrite52.0ms (0.9%)

prune51.0ms (0.9%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite84.0ms (1.5%)

prune42.0ms (0.7%)

localize15.0ms (0.3%)

series367.0ms (6.5%)

rewrite94.0ms (1.7%)

prune296.0ms (5.2%)

regimes47.0ms (0.8%)

simplify2.0ms (0%)

end50.0ms (0.9%)

Profiling