Details

analyze2.1s (23.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample6.2s (70.2%)

Results

4.0s	4141×	body	1024	valid
1.1s	2076×	body	512	valid
526.0ms	409×	body	2048	valid
339.0ms	1051×	body	256	valid
89.0ms	579×	body	128	valid

Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`sub-neg_binary64`
6×	`fma-def_binary64`
5×	`+-commutative_binary64`
4×	`associate-+l-_binary64`
3×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	14	10
2	19	10
3	25	10
4	32	10
5	42	10
6	53	10
7	66	10
8	70	10
9	53	10

prune4.0ms (0%)

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
▶	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
	61.1b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 50 to 38 computations (24% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series18.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

17.0ms

(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 29

Calls

1 calls:

2.0ms

(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

742×	`associate-/r*_binary64`
289×	`fma-def_binary64`
234×	`times-frac_binary64`
195×	`distribute-rgt-in_binary64`
154×	`associate-/l/_binary64`

Counts

41 → 55

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	1544
1	492	1488
2	1711	1276
3	4911	1276

prune40.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Error

Counts

57 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.0b	(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
	0.6b	(-.f64 -1 x)

Compiler

Compiled 1648 to 1026 computations (37.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))

series74.0ms (0.8%)

Counts

2 → 24

Calls

2 calls:

56.0ms	(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
18.0ms	(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`log1p-expm1-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

0.0ms	(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
0.0ms	(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))

simplify101.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

370×	`associate-/r*_binary64`
301×	`sub-neg_binary64`
290×	`associate-+r+_binary64`
232×	`+-commutative_binary64`
221×	`times-frac_binary64`

Counts

46 → 77

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	3891
1	1057	3698
2	4478	3692
3	5191	3692

prune145.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	132	3	135

Error

Counts

135 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
▶	0.6b	(-.f64 -1 x)

Compiler

Compiled 6699 to 4862 computations (27.4% saved)

localize2.0ms (0%)

prune1.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
✓	0.6b	(-.f64 -1 x)

Compiler

Compiled 20 to 15 computations (25% saved)

regimes26.0ms (0.3%)

Accuracy

Total 0.0b remaining (69.2%)

Threshold costs 0.0b (69.2%)

Counts

6 → 1

Compiler

Compiled 130 to 102 computations (21.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`+-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	6	10
1	10	10
2	12	10
3	13	10
4	13	10

end50.0ms (0.6%)

Compiler: Compiled 34 to 25 computations (26.5% saved)

Details

analyze2.1s (23.6%)

sample6.2s (70.2%)

simplify8.0ms (0.1%)

prune4.0ms (0%)

localize7.0ms (0.1%)

series18.0ms (0.2%)

rewrite4.0ms (0%)

simplify53.0ms (0.6%)

prune40.0ms (0.5%)

localize8.0ms (0.1%)

series74.0ms (0.8%)

rewrite1.0ms (0%)

simplify101.0ms (1.2%)

prune145.0ms (1.7%)

localize2.0ms (0%)

prune1.0ms (0%)

regimes26.0ms (0.3%)

simplify2.0ms (0%)

end50.0ms (0.6%)

Profiling