Details

analyze10.0ms (0.3%)

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)

sample1.6s (41.9%)

Results

1.5s

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

prune3.0ms (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)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series183.0ms (4.9%)

Counts

1 → 0

Calls

1 calls:

183.0ms

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

rewrite53.0ms (1.4%)

Algorithm

2×	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`

Counts

1 → 36

Calls

1 calls:

52.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	140	9
2	1656	9
3	5014	9
0	0	0
1	0	0

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune55.0ms (1.5%)

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

Counts

37 → 5

Alt Table

Status	Error	Program
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	0.1b	(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
	31.2b	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
	0.9b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
	31.4b	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))

Compiler

Compiled 565 to 374 computations (33.8% saved)

localize12.0ms (0.3%)

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)

series100.0ms (2.7%)

Counts

2 → 0

Calls

2 calls:

100.0ms	(/.f64 (atan2.f64 im re) (log.f64 1/10))
0.0ms	(log.f64 1/10)

rewrite100.0ms (2.7%)

Algorithm

2×	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`

Counts

2 → 53

Calls

2 calls:

99.0ms	(/.f64 (atan2.f64 im re) (log.f64 1/10))
99.0ms	(log.f64 1/10)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	140	12
2	1656	12
3	5019	12
0	0	0
1	0	0

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune76.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	53	5	58

Error

Counts

58 → 5

Alt Table

Status	Error	Program
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	0.1b	(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
	31.2b	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
	1.5b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))))
▶	0.9b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 761 to 521 computations (31.5% saved)

localize17.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
✓	0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

series200.0ms (5.3%)

Counts

2 → 48

Calls

2 calls:

103.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
97.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

rewrite89.0ms (2.4%)

Algorithm

2×	batch-egg-rewrite

Rules

503×	`log-prod_binary64`
259×	`pow2_binary64`
186×	`pow1/3_binary64`
181×	`expm1-udef_binary64`
180×	`log1p-udef_binary64`

Counts

2 → 109

Calls

2 calls:

85.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
85.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	220	20
2	2539	20
3	4899	20
0	0	0
1	0	0

simplify27.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Counts

157 → 110

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	552
1	14	552
2	13	552

prune123.0ms (3.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	111	4	115

Error

Counts

115 → 4

Alt Table

Status	Error	Program
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	0.1b	(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
	31.2b	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
▶	0.8b	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)))

Compiler

Compiled 1797 to 1356 computations (24.5% saved)

localize22.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re))
✓	0.8b	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)))

series277.0ms (7.4%)

Counts

2 → 48

Calls

2 calls:

148.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)))
129.0ms	(*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re))

rewrite90.0ms (2.4%)

Algorithm

2×	batch-egg-rewrite

Rules

515×	`log-prod_binary64`
279×	`pow2_binary64`
197×	`pow1/3_binary64`
196×	`expm1-udef_binary64`
195×	`log1p-udef_binary64`

Counts

2 → 57

Calls

2 calls:

88.0ms	(*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re))
88.0ms	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	262	24
2	2591	24
3	4853	24
0	0	0
1	0	0

simplify28.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Counts

105 → 59

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	552
1	14	552
2	13	552

prune169.0ms (4.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	59	4	63

Error

Counts

63 → 4

Alt Table

Status	Error	Program
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	0.1b	(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
	31.2b	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
✓	0.8b	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)))

Compiler

Compiled 988 to 778 computations (21.3% saved)

regimes349.0ms (9.3%)

Accuracy

Total 0.1b remaining (92.9%)

Threshold costs 0.1b (92.9%)

Counts

44 → 1

Compiler

Compiled 2795 to 2240 computations (19.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	14	11
2	18	11
3	21	11
4	22	11
5	22	11

end150.0ms (4%)

Compiler: Compiled 67 to 51 computations (23.9% saved)

Details

analyze10.0ms (0.3%)

sample1.6s (41.9%)

simplify10.0ms (0.3%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

series183.0ms (4.9%)

rewrite53.0ms (1.4%)

simplify11.0ms (0.3%)

prune55.0ms (1.5%)

localize12.0ms (0.3%)

series100.0ms (2.7%)

rewrite100.0ms (2.7%)

simplify11.0ms (0.3%)

prune76.0ms (2%)

localize17.0ms (0.4%)

series200.0ms (5.3%)

rewrite89.0ms (2.4%)

simplify27.0ms (0.7%)

prune123.0ms (3.3%)

localize22.0ms (0.6%)

series277.0ms (7.4%)

rewrite90.0ms (2.4%)

simplify28.0ms (0.8%)

prune169.0ms (4.5%)

regimes349.0ms (9.3%)

simplify4.0ms (0.1%)

end150.0ms (4%)

Profiling