Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
74.9%	25%	0.1%	3
87.4%	12.5%	0.1%	4
93.7%	6.2%	0.1%	5
96.8%	3.1%	0.1%	6
98.3%	1.6%	0.1%	7
99.1%	0.8%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample898.0ms (47.2%)

Results

870.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9

Stop Event

1×

saturated

Counts

1 → 1

prune2.0ms (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

0.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 24 to 18 computations (25% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))

series55.0ms (2.9%)

Counts

1 → 0

Calls

1 calls:

55.0ms

(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite35.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`log1p-expm1-u_binary64`
633×	`expm1-log1p-u_binary64`
323×	`log-prod_binary64`
128×	`expm1-udef_binary64`
127×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	141	9
2	1714	9

Stop Event

1×	node limit

Counts

1 → 36

Calls

1 calls:

34.0ms

(/.f64 (atan2.f64 im re) (log.f64 10))

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

36 → 36

prune27.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Error

0.0b

Counts

37 → 5

Alt Table

Status	Error	Program
▶	0.1b	(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
	7.6b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))
	0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 9))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))))
	28.7b	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log1p.f64 9)))

Compiler

Compiled 545 to 362 computations (33.6% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 1/10))
✓	1.0b	(log.f64 1/10)

series49.0ms (2.6%)

Counts

2 → 0

Calls

2 calls:

49.0ms	(/.f64 (atan2.f64 im re) (log.f64 1/10))
0.0ms	(log.f64 1/10)

rewrite42.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`log1p-expm1-u_binary64`
634×	`expm1-log1p-u_binary64`
323×	`log-prod_binary64`
128×	`expm1-udef_binary64`
127×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	141	12
2	1714	12

Stop Event

1×	node limit

Counts

2 → 53

Calls

2 calls:

41.0ms	(/.f64 (atan2.f64 im re) (log.f64 1/10))
41.0ms	(log.f64 1/10)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

53 → 53

prune31.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	51	7	58

Error

Counts

58 → 7

Alt Table

Status	Error	Program
▶	0.2b	(neg.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1))
	7.6b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))
✓	0.1b	(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
	7.6b	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3)))
	0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 9))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))))
	28.7b	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log1p.f64 9)))

Compiler

Compiled 791 to 551 computations (30.3% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)
✓	0.9b	(/.f64 (log.f64 1/10) (atan2.f64 im re))
	1.0b	(log.f64 1/10)

series126.0ms (6.6%)

Counts

2 → 24

Calls

2 calls:

73.0ms	(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)
53.0ms	(/.f64 (log.f64 1/10) (atan2.f64 im re))

rewrite45.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`log1p-expm1-u_binary64`
782×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
84×	`add-log-exp_binary64`
83×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	183	18
2	2178	18

Stop Event

1×	node limit

Counts

2 → 76

Calls

2 calls:

44.0ms	(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)
44.0ms	(/.f64 (log.f64 1/10) (atan2.f64 im re))

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	216

Stop Event

1×

saturated

Counts

100 → 76

prune64.0ms (3.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	94	6	100

Error

Counts

100 → 6

Alt Table

Status	Error	Program
✓	0.1b	(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
	0.9b	(neg.f64 (pow.f64 (*.f64 (log.f64 10) (/.f64 1 (neg.f64 (atan2.f64 im re)))) -1))
	7.6b	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3)))
✓	0.2b	(neg.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1))
▶	0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 9))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))))

Compiler

Compiled 1356 to 965 computations (28.8% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9)))
✓	0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 9))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))))

series106.0ms (5.6%)

Counts

2 → 48

Calls

2 calls:

55.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9)))
51.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 9))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))))

rewrite46.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`log-prod_binary64`
185×	`pow1/3_binary64`
180×	`expm1-udef_binary64`
180×	`log1p-udef_binary64`
168×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	226	20
2	2737	20

Stop Event

1×	node limit

Counts

2 → 108

Calls

2 calls:

44.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9)))
44.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 9))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))))

simplify13.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	552
1	14	552

Stop Event

1×

saturated

Counts

156 → 109

prune60.0ms (3.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	109	6	115

Error

Counts

115 → 6

Alt Table

Status	Error	Program
✓	0.1b	(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
	0.9b	(neg.f64 (pow.f64 (*.f64 (log.f64 10) (/.f64 1 (neg.f64 (atan2.f64 im re)))) -1))
	7.6b	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3)))
✓	0.2b	(neg.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1))
✓	0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 9))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))))

Compiler

Compiled 1788 to 1353 computations (24.3% saved)

regimes122.0ms (6.4%)

Accuracy

Total 0.1b remaining (93.1%)

Threshold costs 0.1b (93.1%)

Counts

34 → 1

Compiler

Compiled 1925 to 1507 computations (21.7% saved)

simplify2.0ms (0.1%)

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	10	15
1	14	15
2	16	15
3	17	15

Stop Event

1×

saturated

end121.0ms (6.4%)

Compiler: Compiled 91 to 75 computations (17.6% saved)

Details

analyze4.0ms (0.2%)

sample898.0ms (47.2%)

simplify8.0ms (0.4%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

series55.0ms (2.9%)

rewrite35.0ms (1.8%)

simplify6.0ms (0.3%)

prune27.0ms (1.4%)

localize7.0ms (0.4%)

series49.0ms (2.6%)

rewrite42.0ms (2.2%)

simplify6.0ms (0.3%)

prune31.0ms (1.6%)

localize7.0ms (0.4%)

series126.0ms (6.6%)

rewrite45.0ms (2.4%)

simplify8.0ms (0.4%)

prune64.0ms (3.4%)

localize8.0ms (0.4%)

series106.0ms (5.6%)

rewrite46.0ms (2.4%)

simplify13.0ms (0.7%)

prune60.0ms (3.2%)

regimes122.0ms (6.4%)

simplify2.0ms (0.1%)

end121.0ms (6.4%)

Profiling