Details

analyze42.0ms (1.5%)

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
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	17.2%	14.1%	7
68.7%	10.1%	21.2%	8
68.7%	9%	22.3%	9
68.7%	5.3%	26%	10
68.7%	4.6%	26.7%	11
68.7%	2.7%	28.6%	12
68.7%	2.3%	29%	13
68.7%	1.4%	30%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample771.0ms (27.8%)

Alt Table

Status	Error	Program
▶	0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

738.0ms	8256×	body	128	valid
3.0ms	30×	body	128	invalid

Compiler

Compiled 52 to 32 computations (38.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series33.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

28.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

rewrite51.0ms (1.8%)

Algorithm

2×	batch-egg-rewrite

Rules

793×	`log1p-expm1-u_binary64`
793×	`expm1-log1p-u_binary64`
485×	`prod-diff_binary64`
77×	`add-sqr-sqrt_binary64`
73×	`add-log-exp_binary64`

Counts

2 → 70

Calls

2 calls:

49.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
49.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	147	21
2	1998	21
3	5794	21
0	0	0
1	0	0

prune89.0ms (3.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	3	119

Error

Counts

119 → 3

Alt Table

Status	Error	Program
▶	0.5b	(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
	1.0b	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
	11.3b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))))

Compiler

Compiled 1921 to 722 computations (62.4% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.0b	(/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	0.5b	(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))

series61.0ms (2.2%)

Counts

3 → 72

Calls

3 calls:

29.0ms	(/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
28.0ms	(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

rewrite61.0ms (2.2%)

Algorithm

2×	batch-egg-rewrite

Rules

860×	`log1p-expm1-u_binary64`
860×	`expm1-log1p-u_binary64`
490×	`prod-diff_binary64`
91×	`egg-rr`
91×	`add-sqr-sqrt_binary64`

Counts

3 → 91

Calls

3 calls:

58.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
58.0ms	(/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
58.0ms	(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	183	32
2	2216	32
3	6223	32
0	0	0
1	0	0

prune118.0ms (4.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	163	3	166

Error

Counts

166 → 3

Alt Table

Status	Error	Program
✓	0.5b	(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
▶	1.0b	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
	11.3b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))))

Compiler

Compiled 2772 to 1245 computations (55.1% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	0.4b	(/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓	0.8b	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓	0.8b	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

series126.0ms (4.5%)

Counts

4 → 96

Calls

4 calls:

49.0ms	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
35.0ms	(/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
30.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
11.0ms	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite128.0ms (4.6%)

Algorithm

2×	batch-egg-rewrite

Rules

675×	`prod-diff_binary64`
193×	`expm1-udef_binary64`
193×	`log1p-udef_binary64`
190×	`fma-def_binary64`
182×	`log-pow_binary64`

Counts

4 → 146

Calls

4 calls:

125.0ms	(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
125.0ms	(/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
125.0ms	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
125.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	227	49
2	2873	49
3	4893	49
4	5163	49
0	0	0
1	0	0

prune214.0ms (7.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	298	0	298
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	298	3	301

Error

Counts

301 → 3

Alt Table

Status	Error	Program
✓	0.5b	(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
✓	1.0b	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
▶	11.3b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))))

Compiler

Compiled 7639 to 2987 computations (60.9% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 b))
✓	0.0b	(+.f64 (exp.f64 b) 1)
✓	0.0b	(*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))
✓	0.0b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))))

series83.0ms (3%)

Counts

4 → 49

Calls

4 calls:

76.0ms	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))))
4.0ms	(*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))
2.0ms	(+.f64 (exp.f64 b) 1)
1.0ms	(+.f64 1 (exp.f64 b))

rewrite115.0ms (4.2%)

Algorithm

2×	batch-egg-rewrite

Rules

250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`
213×	`egg-rr`
147×	`add-sqr-sqrt_binary64`
145×	`log1p-expm1-u_binary64`

Counts

4 → 213

Calls

4 calls:

110.0ms	(+.f64 1 (exp.f64 b))
110.0ms	(+.f64 (exp.f64 b) 1)
110.0ms	(*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))
110.0ms	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	65
1	292	50
2	4379	50
3	5069	50
0	0	0
1	0	0

prune395.0ms (14.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	376	0	376
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	376	3	379

Error

Counts

379 → 3

Alt Table

Status	Error	Program
✓	0.5b	(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
✓	1.0b	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	11.3b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))))

Compiler

Compiled 12142 to 7613 computations (37.3% saved)

regimes400.0ms (14.4%)

Accuracy

Total 0.3b remaining (68.9%)

Threshold costs 0.3b (68.9%)

Counts

93 → 1

Compiler

Compiled 9654 to 6788 computations (29.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-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	15
1	12	15
2	17	15
3	19	15
4	20	15
5	20	15

end57.0ms (2.1%)

Compiler: Compiled 81 to 52 computations (35.8% saved)

Details

analyze42.0ms (1.5%)

sample771.0ms (27.8%)

localize5.0ms (0.2%)

series33.0ms (1.2%)

rewrite51.0ms (1.8%)

prune89.0ms (3.2%)

localize6.0ms (0.2%)

series61.0ms (2.2%)

rewrite61.0ms (2.2%)

prune118.0ms (4.2%)

localize8.0ms (0.3%)

series126.0ms (4.5%)

rewrite128.0ms (4.6%)

prune214.0ms (7.7%)

localize11.0ms (0.4%)

series83.0ms (3%)

rewrite115.0ms (4.2%)

prune395.0ms (14.2%)

regimes400.0ms (14.4%)

simplify3.0ms (0.1%)

end57.0ms (2.1%)

Profiling