Details

analyze46.0ms (1.9%)

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)

sample806.0ms (32.5%)

Results

773.0ms	8256×	body	128	valid
2.0ms	25×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

prune1.0ms (0.1%)

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

0.5b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 30 to 18 computations (40% saved)

localize6.0ms (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)))

series31.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

27.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

rewrite50.0ms (2%)

Algorithm

1×	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:

48.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
48.0ms	(/.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

prune95.0ms (3.8%)

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

0.2b

Counts

119 → 3

Alt Table

Status	Error	Program
	11.3b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	0.5b	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
	24.0b	(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))

Compiler

Compiled 1885 to 706 computations (62.5% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series63.0ms (2.5%)

Counts

3 → 72

Calls

3 calls:

44.0ms	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
15.0ms	(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

rewrite63.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

485×	`prod-diff_binary64`
449×	`log-prod_binary64`
184×	`fma-def_binary64`
167×	`expm1-udef_binary64`
167×	`log1p-udef_binary64`

Counts

3 → 128

Calls

3 calls:

59.0ms	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
59.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
59.0ms	(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	189	34
2	2392	34
3	5075	34

prune134.0ms (5.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	200	3	203

Error

Counts

203 → 3

Alt Table

Status	Error	Program
✓	0.5b	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
▶	24.0b	(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
	29.4b	(pow.f64 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (/.f64 1 (exp.f64 a)))) -1)

Compiler

Compiled 3260 to 1212 computations (62.8% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 b (exp.f64 a))
✓	0.0b	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
✓	0.3b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓	0.3b	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))

series89.0ms (3.6%)

Counts

4 → 44

Calls

4 calls:

72.0ms	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
8.0ms	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
5.0ms	(*.f64 b (exp.f64 a))
3.0ms	(pow.f64 (+.f64 1 (exp.f64 a)) 2)

rewrite76.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`log-prod_binary64`
198×	`expm1-udef_binary64`
198×	`log1p-udef_binary64`
176×	`log-pow_binary64`
163×	`prod-diff_binary64`

Counts

4 → 153

Calls

4 calls:

72.0ms	(*.f64 b (exp.f64 a))
72.0ms	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
72.0ms	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
72.0ms	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	234	41
2	2913	41
3	5452	41

prune139.0ms (5.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	197	3	200

Error

Counts

200 → 3

Alt Table

Status	Error	Program
✓	0.5b	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
✓	24.0b	(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
▶	29.4b	(pow.f64 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (/.f64 1 (exp.f64 a)))) -1)

Compiler

Compiled 4919 to 2514 computations (48.9% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series71.0ms (2.9%)

Counts

4 → 36

Calls

4 calls:

45.0ms	(pow.f64 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (/.f64 1 (exp.f64 a)))) -1)
13.0ms	(/.f64 b (exp.f64 a))
7.0ms	(+.f64 1 (/.f64 1 (exp.f64 a)))
5.0ms	(/.f64 1 (exp.f64 a))

rewrite74.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`fma-def_binary64`
257×	`fma-neg_binary64`
204×	`expm1-udef_binary64`
204×	`log1p-udef_binary64`
183×	`log-div_binary64`

Counts

4 → 128

Calls

4 calls:

72.0ms	(+.f64 1 (/.f64 1 (exp.f64 a)))
72.0ms	(/.f64 1 (exp.f64 a))
72.0ms	(/.f64 b (exp.f64 a))
72.0ms	(pow.f64 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (/.f64 1 (exp.f64 a)))) -1)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	242	38
2	3105	38
3	5223	38

prune133.0ms (5.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	164	3	167

Error

Counts

167 → 3

Alt Table

Status	Error	Program
✓	0.5b	(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
✓	24.0b	(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
✓	29.4b	(pow.f64 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (/.f64 1 (exp.f64 a)))) -1)

Compiler

Compiled 3422 to 1977 computations (42.2% saved)

regimes526.0ms (21.2%)

Accuracy

Total 0.3b remaining (57.3%)

Threshold costs 0.3b (57.3%)

Counts

134 → 1

Compiler

Compiled 11004 to 8042 computations (26.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-rgt-identity_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	17	15
2	21	15
3	23	15
4	24	15
5	23	15

end54.0ms (2.2%)

Compiler: Compiled 70 to 48 computations (31.4% saved)

Details

analyze46.0ms (1.9%)

sample806.0ms (32.5%)

prune1.0ms (0.1%)

localize6.0ms (0.2%)

series31.0ms (1.2%)

rewrite50.0ms (2%)

prune95.0ms (3.8%)

localize6.0ms (0.2%)

series63.0ms (2.5%)

rewrite63.0ms (2.5%)

prune134.0ms (5.4%)

localize10.0ms (0.4%)

series89.0ms (3.6%)

rewrite76.0ms (3.1%)

prune139.0ms (5.6%)

localize7.0ms (0.3%)

series71.0ms (2.9%)

rewrite74.0ms (3%)

prune133.0ms (5.4%)

regimes526.0ms (21.2%)

simplify2.0ms (0.1%)

end54.0ms (2.2%)

Profiling