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)

sample841.0ms (43.3%)

Results

826.0ms

8256×

body

128

valid

Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess18.0ms (0.9%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
0	2	2

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 8 to 6 computations (25% saved)

simplify6.0ms (0.3%)

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))

series58.0ms (3%)

Counts

1 → 0

Calls

6 calls:

13.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))	im	0
11.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))	re	-inf
9.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))	im	inf
8.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))	re	0
8.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))	re	inf

rewrite34.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`pow1_binary64`
633×	`add-log-exp_binary64`
633×	`log1p-expm1-u_binary64`
633×	`expm1-log1p-u_binary64`
71×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	141	9
2	1701	9

Stop Event

1×	node limit

Counts

1 → 32

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

32 → 32

prune33.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	27	5	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	5	33

Error

0.0b

Counts

33 → 5

Alt Table

Status	Error	Program
	7.7b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))
▶	0.2b	(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
	1.0b	(pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -1)
	27.0b	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2)
	0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 9))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))))

Compiler

Compiled 482 to 326 computations (32.4% saved)

localize6.0ms (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)

series52.0ms (2.7%)

Counts

2 → 0

Calls

6 calls:

10.0ms	(/.f64 (atan2.f64 im re) (log.f64 1/10))	im	inf
9.0ms	(/.f64 (atan2.f64 im re) (log.f64 1/10))	re	-inf
8.0ms	(/.f64 (atan2.f64 im re) (log.f64 1/10))	re	0
8.0ms	(/.f64 (atan2.f64 im re) (log.f64 1/10))	im	-inf
8.0ms	(/.f64 (atan2.f64 im re) (log.f64 1/10))	re	inf

rewrite36.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`pow1_binary64`
634×	`add-log-exp_binary64`
634×	`log1p-expm1-u_binary64`
634×	`expm1-log1p-u_binary64`
71×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	141	12
2	1700	12

Stop Event

1×	node limit

Counts

2 → 47

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

47 → 47

prune30.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	47	5	52

Error

Counts

52 → 5

Alt Table

Status	Error	Program
	7.7b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))
✓	0.2b	(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
	1.0b	(pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -1)
▶	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 659 to 460 computations (30.2% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(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)

series128.0ms (6.6%)

Counts

2 → 24

Calls

12 calls:

14.0ms	(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)	re	inf
13.0ms	(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)	im	-inf
13.0ms	(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)	re	-inf
12.0ms	(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)	im	inf
11.0ms	(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)	im	0

rewrite45.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`pow1_binary64`
782×	`log1p-expm1-u_binary64`
782×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
85×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	183	18
2	2154	18

Stop Event

1×	node limit

Counts

2 → 76

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

prune54.0ms (2.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	91	5	96

Error

Counts

96 → 5

Alt Table

Status	Error	Program
	7.7b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))
✓	0.2b	(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
✓	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))))
	0.9b	(neg.f64 (pow.f64 (*.f64 (log.f64 10) (/.f64 1 (neg.f64 (atan2.f64 im re)))) -1))

Compiler

Compiled 1323 to 940 computations (28.9% saved)

localize19.0ms (1%)

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))))

series110.0ms (5.7%)

Counts

2 → 48

Calls

12 calls:

11.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9)))	re	-inf
10.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9)))	im	inf
10.0ms	(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 9))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))))	re	-inf
10.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9)))	re	0
9.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9)))	im	-inf

rewrite49.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`log-prod_binary64`
258×	`pow2_binary64`
185×	`pow1/3_binary64`
180×	`expm1-udef_binary64`
180×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	225	20
2	2723	20

Stop Event

1×	node limit

Counts

2 → 109

simplify14.0ms (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

157 → 110

prune62.0ms (3.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	110	5	115

Error

Counts

115 → 5

Alt Table

Status	Error	Program
	7.7b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))
✓	0.2b	(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
✓	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))))
	0.9b	(neg.f64 (pow.f64 (*.f64 (log.f64 10) (/.f64 1 (neg.f64 (atan2.f64 im re)))) -1))

Compiler

Compiled 1776 to 1345 computations (24.3% saved)

regimes229.0ms (11.8%)

Accuracy

Total 0.1b remaining (89.7%)

Threshold costs 0.1b (89.7%)

Counts

56 → 1

Compiler

Compiled 2945 to 2337 computations (20.6% saved)

simplify2.0ms (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

Stop Event

1×

saturated

end81.0ms (4.2%)

Stop Event

1×

fuel

Compiler

Compiled 78 to 64 computations (17.9% saved)

Details

analyze4.0ms (0.2%)

sample841.0ms (43.3%)

preprocess18.0ms (0.9%)

simplify6.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

series58.0ms (3%)

rewrite34.0ms (1.7%)

simplify6.0ms (0.3%)

prune33.0ms (1.7%)

localize6.0ms (0.3%)

series52.0ms (2.7%)

rewrite36.0ms (1.8%)

simplify6.0ms (0.3%)

prune30.0ms (1.5%)

localize7.0ms (0.4%)

series128.0ms (6.6%)

rewrite45.0ms (2.3%)

simplify8.0ms (0.4%)

prune54.0ms (2.8%)

localize19.0ms (1%)

series110.0ms (5.7%)

rewrite49.0ms (2.5%)

simplify14.0ms (0.7%)

prune62.0ms (3.2%)

regimes229.0ms (11.8%)

simplify2.0ms (0.1%)

end81.0ms (4.2%)

Profiling