Metrics for math.log10 on complex, imaginary part

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
100%	99.9%	0%	0.1%	0%	0%	0%	3

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.2s (27%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess17.0ms (0.4%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

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

Accurracy

98.7%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 16 to 12 computations (25% saved)

localize45.0ms (1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 17 to 10 computations (41.2% saved)

series80.0ms (1.8%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
70.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
8.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	re	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	im	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite59.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1712×	`pow1`
1578×	`add-exp-log`
1578×	`log1p-expm1-u`
1578×	`expm1-log1p-u`
1540×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	178	17
2	2135	17

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.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))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1364×	`log-prod`
962×	`fma-def`
942×	`associate-r`
856×	`associate-l`
572×	`log-div`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	929
1	198	749
2	637	581
3	4195	581

Stop Event

1×	node limit

Counts

31 → 36

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.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))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

Outputs
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.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))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))

eval9.0ms (0.2%)

Compiler: Compiled 411 to 258 computations (37.2% saved)

prune47.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	28	8	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	9	37

Accurracy

100.0%

Counts

37 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
	97.5%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
	96.7%	(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
▶	96.8%	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
▶	53.3%	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
	98.7%	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
▶	89.0%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
▶	98.3%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
	97.5%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
	96.7%	(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
▶	96.8%	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
▶	53.3%	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
	98.7%	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
▶	89.0%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))

Compiler

Compiled 472 to 360 computations (23.7% saved)

localize408.0ms (9.4%)

Local Accuracy

Found 15 expressions with local accuracy:

New	Accuracy	Program
✓	99.2%	(cbrt.f64 (log.f64 10))
✓	98.8%	(pow.f64 (cbrt.f64 (log.f64 10)) 2)
✓	98.1%	(cbrt.f64 (atan2.f64 im re))
✓	98.0%	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
✓	99.9%	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
✓	99.7%	(/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))
✓	98.2%	(sqrt.f64 (atan2.f64 im re))
✓	99.4%	(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
✓	99.4%	(pow.f64 (atan2.f64 im re) 3)
✓	98.8%	(pow.f64 (log.f64 10) 3)
✓	93.5%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
✓	99.6%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	99.3%	(/.f64 (log.f64 10) (atan2.f64 im re))
✓	99.3%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	99.2%	(log.f64 1/10)

Compiler

Compiled 196 to 107 computations (45.4% saved)

series81.0ms (1.9%)

Counts

15 → 168

Calls

66 calls:

Time	Variable		Point	Expression
19.0ms	re	@	inf	(cbrt.f64 (atan2.f64 im re))
17.0ms	im	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
7.0ms	re	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
3.0ms	im	@	inf	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
2.0ms	im	@	inf	(pow.f64 (atan2.f64 im re) 3)

rewrite224.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`expm1-udef`
740×	`log1p-udef`
514×	`add-sqr-sqrt`
494×	`pow1`
486×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	247
1	651	225
2	6919	225

Stop Event

1×	node limit

Counts

15 → 657

Calls

Call 1

Inputs
(log.f64 1/10)
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (log.f64 10) (atan2.f64 im re))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(pow.f64 (log.f64 10) 3)
(pow.f64 (atan2.f64 im re) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(sqrt.f64 (atan2.f64 im re))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(cbrt.f64 (atan2.f64 im re))
(pow.f64 (cbrt.f64 (log.f64 10)) 2)
(cbrt.f64 (log.f64 10))

Outputs
(-.f64 0 (log.f64 10))
(-.f64 (exp.f64 (log1p.f64 (log.f64 1/10))) 1)
(*.f64 (log.f64 1/10) 1)
(*.f64 -1 (log.f64 10))
(*.f64 1 (log.f64 1/10))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (neg.f64 (cbrt.f64 (log.f64 10))))
(*.f64 (cbrt.f64 (log.f64 1/10)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (cbrt.f64 (log.f64 1/10)))
(*.f64 (sqrt.f64 (log.f64 10)) (neg.f64 (sqrt.f64 (log.f64 10))))
(*.f64 (sqrt.f64 (log.f64 1/10)) (sqrt.f64 (log.f64 1/10)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(pow.f64 (log.f64 1/10) 1)
(pow.f64 (cbrt.f64 (log.f64 1/10)) 3)
(pow.f64 (pow.f64 (log.f64 1/10) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 1/10)) 2)
(neg.f64 (log.f64 10))
(sqrt.f64 (pow.f64 (log.f64 1/10) 2))
(cbrt.f64 (pow.f64 (log.f64 1/10) 3))
(expm1.f64 (log1p.f64 (log.f64 1/10)))
(exp.f64 (log.f64 (log.f64 1/10)))
(exp.f64 (*.f64 (log.f64 (log.f64 1/10)) 1))
(log1p.f64 -9/10)
(-.f64 0 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1)
(-.f64 (/.f64 0 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 1/10)))
(*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 10)))
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 10) -3) 1/3))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)))
(.f64 (cbrt.f64 (atan2.f64 im re)) (.f64 (pow.f64 (atan2.f64 im re) 1/6) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 1/10))))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10))))
(.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(.f64 (pow.f64 (atan2.f64 im re) 1/4) (.f64 (pow.f64 (atan2.f64 im re) 1/4) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) (.f64 (sqrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 -1 (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (/.f64 -1 (atan2.f64 im re)) -1))
(*.f64 (/.f64 -1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3)) 1/3))
(*.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))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 1/10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 -1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))))
(.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))) (sqrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))))
(.f64 (.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) (cbrt.f64 (atan2.f64 im re))) (pow.f64 (atan2.f64 im re) 1/6))
(.f64 (.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) (pow.f64 (atan2.f64 im re) 1/4)) (pow.f64 (atan2.f64 im re) 1/4))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)) 1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6))
(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) 3) (pow.f64 (atan2.f64 im re) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 1/10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 1)
(*.f64 (log.f64 1/10) (/.f64 -1 (atan2.f64 im re)))
(*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1)
(*.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (.f64 (cbrt.f64 (log.f64 10)) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(.f64 (sqrt.f64 (log.f64 10)) (.f64 (sqrt.f64 (log.f64 10)) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 10))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) -1) (/.f64 (cbrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) 1) (/.f64 (cbrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 1/10)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) -1) (/.f64 (sqrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) 1) (/.f64 (sqrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (sqrt.f64 (log.f64 1/10)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) 1) (/.f64 (cbrt.f64 (log.f64 10)) (atan2.f64 im re)))
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(.f64 (pow.f64 (log.f64 10) 1/6) (.f64 (pow.f64 (log.f64 10) 1/6) (cbrt.f64 (log.f64 10))))
(*.f64 (sqrt.f64 (log.f64 10)) (pow.f64 (log.f64 10) 1/6))
(.f64 (.f64 (cbrt.f64 (log.f64 10)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 10))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2))))
(cbrt.f64 (pow.f64 (log.f64 10) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 10)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 10)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 10)))) 1)
(*.f64 1 (cbrt.f64 (log.f64 10)))
(*.f64 (cbrt.f64 (log.f64 10)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2) (cbrt.f64 (cbrt.f64 (log.f64 10))))
(*.f64 (pow.f64 (log.f64 10) 1/6) (pow.f64 (log.f64 10) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 10)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 10)) 1/3) (pow.f64 (sqrt.f64 (log.f64 10)) 1/3))
(pow.f64 (log.f64 10) 1/3)
(pow.f64 (cbrt.f64 (log.f64 10)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 3)
(pow.f64 (pow.f64 (log.f64 10) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(fabs.f64 (cbrt.f64 (log.f64 10)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 10))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 10)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 10))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 10))))
(exp.f64 (*.f64 (log.f64 (log.f64 10)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 10))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 10))))

simplify272.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

1056×	`associate-/l*`
962×	`associate-/r*`
884×	`fma-def`
760×	`log-prod`
560×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	800	18605
1	1647	18233
2	6529	18233

Stop Event

1×	node limit

Counts

825 → 521

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
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(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
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(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
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(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
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(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (atan2.f64 im re) 1/3)
(-.f64 0 (log.f64 10))
(-.f64 (exp.f64 (log1p.f64 (log.f64 1/10))) 1)
(*.f64 (log.f64 1/10) 1)
(*.f64 -1 (log.f64 10))
(*.f64 1 (log.f64 1/10))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (neg.f64 (cbrt.f64 (log.f64 10))))
(*.f64 (cbrt.f64 (log.f64 1/10)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (cbrt.f64 (log.f64 1/10)))
(*.f64 (sqrt.f64 (log.f64 10)) (neg.f64 (sqrt.f64 (log.f64 10))))
(*.f64 (sqrt.f64 (log.f64 1/10)) (sqrt.f64 (log.f64 1/10)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(pow.f64 (log.f64 1/10) 1)
(pow.f64 (cbrt.f64 (log.f64 1/10)) 3)
(pow.f64 (pow.f64 (log.f64 1/10) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 1/10)) 2)
(neg.f64 (log.f64 10))
(sqrt.f64 (pow.f64 (log.f64 1/10) 2))
(cbrt.f64 (pow.f64 (log.f64 1/10) 3))
(expm1.f64 (log1p.f64 (log.f64 1/10)))
(exp.f64 (log.f64 (log.f64 1/10)))
(exp.f64 (*.f64 (log.f64 (log.f64 1/10)) 1))
(log1p.f64 -9/10)
(-.f64 0 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(-.f64 (/.f64 0 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (/.f64 -1 (log.f64 1/10)) 1/3))
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(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2))) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(*.f64 (pow.f64 (atan2.f64 im re) 1/6) (cbrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) (pow.f64 (atan2.f64 im re) 1/6))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (cbrt.f64 (log.f64 10)))))
(*.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/6)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) 1/6)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) 1) (/.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (pow.f64 (log.f64 10) 1/6)) (/.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) (pow.f64 (log.f64 10) 1/6)))
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(/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10)))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10)))
(/.f64 (pow.f64 (atan2.f64 im re) 1/6) (/.f64 (cbrt.f64 (log.f64 10)) (pow.f64 (atan2.f64 im re) 1/6)))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (cbrt.f64 (atan2.f64 im re)))))
(/.f64 (neg.f64 (cbrt.f64 (atan2.f64 im re))) (neg.f64 (cbrt.f64 (log.f64 10))))
(/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) 1/6)) (pow.f64 (log.f64 10) 1/6))
(/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) 1) (cbrt.f64 (log.f64 10)))
(/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 10))))
(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1/3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3) 1/9)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 im re)))) 1)
(*.f64 -1 (cbrt.f64 (atan2.f64 im re)))
(*.f64 1 (cbrt.f64 (atan2.f64 im re)))
(*.f64 (cbrt.f64 (atan2.f64 im re)) 1)
(*.f64 (pow.f64 (atan2.f64 im re) 1/6) (pow.f64 (atan2.f64 im re) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan2.f64 im re))))
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 im re)) 1)
(pow.f64 (pow.f64 (atan2.f64 im re) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 im re)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 im re))))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 im re))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(*.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (log.f64 10)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) (cbrt.f64 (log.f64 10))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2))
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(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2))))
(cbrt.f64 (pow.f64 (log.f64 10) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 10)))))
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(*.f64 1 (cbrt.f64 (log.f64 10)))
(*.f64 (cbrt.f64 (log.f64 10)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2) (cbrt.f64 (cbrt.f64 (log.f64 10))))
(*.f64 (pow.f64 (log.f64 10) 1/6) (pow.f64 (log.f64 10) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2)))
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(log.f64 (exp.f64 (cbrt.f64 (log.f64 10))))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 10))) 1))
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Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
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(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
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(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 im re)))
(cbrt.f64 (atan2.f64 im re))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 im re))))
(pow.f64 (atan2.f64 im re) 1/3)
(cbrt.f64 (atan2.f64 im re))
(pow.f64 (cbrt.f64 (atan2.f64 im re)) 1)
(cbrt.f64 (atan2.f64 im re))
(pow.f64 (pow.f64 (atan2.f64 im re) 1/6) 2)
(cbrt.f64 (atan2.f64 im re))
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 3)
(cbrt.f64 (atan2.f64 im re))
(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))
(fabs.f64 (cbrt.f64 (atan2.f64 im re)))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 im re))))
(cbrt.f64 (atan2.f64 im re))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 im re)))))
(cbrt.f64 (atan2.f64 im re))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 im re))))
(cbrt.f64 (atan2.f64 im re))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 im re))))
(cbrt.f64 (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1/3))
(cbrt.f64 (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 im re))) 1))
(cbrt.f64 (atan2.f64 im re))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 im re))))
(cbrt.f64 (atan2.f64 im re))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2))) 1)
(pow.f64 (cbrt.f64 (log.f64 10)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(pow.f64 (cbrt.f64 (log.f64 10)) 2)
(*.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (log.f64 10)))
(pow.f64 (cbrt.f64 (log.f64 10)) 2)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) 1)
(pow.f64 (cbrt.f64 (log.f64 10)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) (cbrt.f64 (log.f64 10))))
(pow.f64 (cbrt.f64 (log.f64 10)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 4)))
(.f64 (pow.f64 (log.f64 10) 1/6) (.f64 (pow.f64 (log.f64 10) 1/6) (cbrt.f64 (log.f64 10))))
(pow.f64 (cbrt.f64 (log.f64 10)) 2)
(*.f64 (sqrt.f64 (log.f64 10)) (pow.f64 (log.f64 10) 1/6))
(.f64 (.f64 (cbrt.f64 (log.f64 10)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 10))))
(pow.f64 (cbrt.f64 (log.f64 10)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2)))
(pow.f64 (cbrt.f64 (log.f64 10)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2))))
(pow.f64 (cbrt.f64 (log.f64 10)) 2)
(cbrt.f64 (pow.f64 (log.f64 10) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2)))
(pow.f64 (cbrt.f64 (log.f64 10)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 10)))))
(pow.f64 (cbrt.f64 (log.f64 10)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 10)))) 1))
(pow.f64 (cbrt.f64 (log.f64 10)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2)))
(pow.f64 (cbrt.f64 (log.f64 10)) 2)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 10)))) 1)
(cbrt.f64 (log.f64 10))
(*.f64 1 (cbrt.f64 (log.f64 10)))
(cbrt.f64 (log.f64 10))
(*.f64 (cbrt.f64 (log.f64 10)) 1)
(cbrt.f64 (log.f64 10))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2))
(cbrt.f64 (log.f64 10))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2) (cbrt.f64 (cbrt.f64 (log.f64 10))))
(cbrt.f64 (log.f64 10))
(*.f64 (pow.f64 (log.f64 10) 1/6) (pow.f64 (log.f64 10) 1/6))
(cbrt.f64 (log.f64 10))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (log.f64 10)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 10)))
(cbrt.f64 (log.f64 10))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 10)) 1/3) (pow.f64 (sqrt.f64 (log.f64 10)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 10))) (cbrt.f64 (sqrt.f64 (log.f64 10))))
(pow.f64 (log.f64 10) 1/3)
(cbrt.f64 (log.f64 10))
(pow.f64 (cbrt.f64 (log.f64 10)) 1)
(cbrt.f64 (log.f64 10))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) 1/2)
(cbrt.f64 (log.f64 10))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 3)
(cbrt.f64 (log.f64 10))
(pow.f64 (pow.f64 (log.f64 10) 1/6) 2)
(cbrt.f64 (log.f64 10))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(cbrt.f64 (log.f64 10))
(fabs.f64 (cbrt.f64 (log.f64 10)))
(cbrt.f64 (log.f64 10))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 10))))
(cbrt.f64 (log.f64 10))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 10)))))
(cbrt.f64 (log.f64 10))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 10))))
(cbrt.f64 (log.f64 10))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 10))))
(cbrt.f64 (log.f64 10))
(exp.f64 (*.f64 (log.f64 (log.f64 10)) 1/3))
(cbrt.f64 (log.f64 10))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 10))) 1))
(cbrt.f64 (log.f64 10))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 10))))
(cbrt.f64 (log.f64 10))

eval358.0ms (8.3%)

Compiler: Compiled 9764 to 6187 computations (36.6% saved)

prune186.0ms (4.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	555	3	558
Fresh	3	0	3
Picked	3	2	5
Done	0	1	1
Total	561	6	567

Accurracy

100.0%

Counts

567 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.3%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	99.4%	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	99.4%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
▶	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))
✓	98.3%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	99.4%	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	99.4%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
▶	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))

Compiler

Compiled 120 to 96 computations (20% saved)

localize143.0ms (3.3%)

Local Accuracy

Found 10 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 -1 (atan2.f64 im re))
✓	99.5%	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
✓	98.7%	(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10))
	98.4%	(log.f64 1/10)
✓	99.5%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	98.7%	(/.f64 (log.f64 1/10) (atan2.f64 im re))
	98.4%	(log.f64 1/10)
✓	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))
✓	98.4%	(pow.f64 (log.f64 10) -3)
✓	98.4%	(cbrt.f64 (pow.f64 (log.f64 10) -3))

Compiler

Compiled 85 to 53 computations (37.6% saved)

series11.0ms (0.3%)

Counts

8 → 96

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	im	@	0	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
1.0ms	im	@	inf	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
0.0ms	im	@	-inf	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
0.0ms	re	@	-inf	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
0.0ms	re	@	inf	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)

rewrite105.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`log-prod`
656×	`expm1-udef`
648×	`log1p-udef`
408×	`add-sqr-sqrt`
390×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	152
1	419	134
2	5070	134

Stop Event

1×	node limit

Counts

8 → 246

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (log.f64 10) -3))
(pow.f64 (log.f64 10) -3)
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10))
(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
(/.f64 -1 (atan2.f64 im re))

Outputs
(+.f64 0 (pow.f64 (log.f64 10) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 10) -1))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 10) -1))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 10) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 10) -1)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 10) -1)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 10) -1))) 1)
(*.f64 (pow.f64 (log.f64 10) -1) 1)
(*.f64 1 (pow.f64 (log.f64 10) -1))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 10) -1)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6))) (cbrt.f64 (pow.f64 (log.f64 10) -1)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 10) -3/2)) (cbrt.f64 (pow.f64 (log.f64 10) -3/2)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (log.f64 10) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)) 1/3) (cbrt.f64 (pow.f64 (log.f64 10) -1)))
(*.f64 (pow.f64 (pow.f64 (log.f64 10) -3/2) 1/3) (pow.f64 (pow.f64 (log.f64 10) -3/2) 1/3))
(pow.f64 (log.f64 10) -1)
(pow.f64 (pow.f64 (log.f64 10) -3) 1/3)
(pow.f64 (pow.f64 (log.f64 10) -1) 1)
(pow.f64 (cbrt.f64 (pow.f64 (log.f64 10) -1)) 3)
(pow.f64 (cbrt.f64 (pow.f64 (log.f64 10) -3/2)) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)))
(log.f64 (exp.f64 (pow.f64 (log.f64 10) -1)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 10) -1))))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 10) -1)))
(exp.f64 (log.f64 (pow.f64 (log.f64 10) -1)))
(exp.f64 (.f64 (.f64 -3 (log.f64 (log.f64 10))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 10) -1)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 10) -1)))
(+.f64 0 (pow.f64 (log.f64 10) -3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 10) -3))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 10) -3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 10) -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 10) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 10) -3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 10) -3))) 1)
(*.f64 (pow.f64 (log.f64 10) -3) 1)
(*.f64 (pow.f64 (log.f64 10) -1) (cbrt.f64 (pow.f64 (log.f64 10) -6)))
(*.f64 1 (pow.f64 (log.f64 10) -3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)) (pow.f64 (log.f64 10) -1))
(*.f64 (pow.f64 (log.f64 10) -3/2) (pow.f64 (log.f64 10) -3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) -3) (pow.f64 (cbrt.f64 (log.f64 10)) -3))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 10)) -3) (pow.f64 (sqrt.f64 (log.f64 10)) -3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)) 1) (pow.f64 (log.f64 10) -1))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)))) (cbrt.f64 (pow.f64 (log.f64 10) -1)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)) (cbrt.f64 (pow.f64 (log.f64 10) -3/2))) (cbrt.f64 (pow.f64 (log.f64 10) -3/2)))
(sqrt.f64 (pow.f64 (log.f64 10) -6))
(log.f64 (exp.f64 (pow.f64 (log.f64 10) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 10) -3))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 10) -3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 10) -3)))
(exp.f64 (*.f64 -3 (log.f64 (log.f64 10))))
(exp.f64 (.f64 (.f64 -3 (log.f64 (log.f64 10))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 10) -3)))
(+.f64 0 (*.f64 (pow.f64 (log.f64 10) -1) (atan2.f64 im re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1))) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (log.f64 10) -1) (atan2.f64 im re)))) 1)
(pow.f64 (*.f64 (pow.f64 (log.f64 10) -1) (atan2.f64 im re)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 10) -1) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 10) -1) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (log.f64 10) -1) (atan2.f64 im re))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 10) -1) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (log.f64 10) -1) (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 10) -1) (atan2.f64 im re)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 10) -3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) -3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (log.f64 10) -1) (atan2.f64 im re))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (log.f64 10) -1) (atan2.f64 im re))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (log.f64 10) -1) (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (log.f64 10) -1) (atan2.f64 im re))))
(+.f64 0 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re)))) (cbrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 1)
(*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re)))
(*.f64 (log.f64 1/10) (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1)
(*.f64 1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2))
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(log.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))
(log.f64 (/.f64 1 (pow.f64 1/10 (/.f64 -1 (atan2.f64 im re)))))
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(log.f64 (/.f64 1 (/.f64 1 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))))
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(cbrt.f64 (/.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (atan2.f64 im re) 3)))
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(exp.f64 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 1/10 (/.f64 -1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 1/10 (/.f64 -1 (atan2.f64 im re))))))
(-.f64 0 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 1)
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (*.f64 -1 (neg.f64 (atan2.f64 im re))))
(/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re)))
(/.f64 (log.f64 1/10) (*.f64 (atan2.f64 im re) -1))
(/.f64 (log.f64 1/10) (/.f64 -1 (/.f64 1 (atan2.f64 im re))))
(/.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)
(/.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1)
(/.f64 1 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
(/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
(/.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (/.f64 -1 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))
(/.f64 (/.f64 (log.f64 10) 1) (atan2.f64 im re))
(/.f64 (/.f64 (log.f64 10) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(/.f64 (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)
(neg.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 1/10 (/.f64 -1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(log.f64 (/.f64 1 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3) (pow.f64 (log.f64 1/10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(+.f64 0 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))) (cbrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))) 1)
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(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(.f64 (.f64 (/.f64 -1 (log.f64 1/10)) 1) (atan2.f64 im re))
(.f64 (.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
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(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
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(/.f64 (*.f64 (atan2.f64 im re) -1) (log.f64 1/10))
(/.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1/2) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
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(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 3))
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(exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (atan2.f64 im re)))) 1)
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(*.f64 (/.f64 -1 (atan2.f64 im re)) 1)
(*.f64 1 (/.f64 -1 (atan2.f64 im re)))
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(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 2) (/.f64 -1 (cbrt.f64 (atan2.f64 im re))))
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(*.f64 (/.f64 1 (atan2.f64 im re)) -1)
(pow.f64 (/.f64 -1 (atan2.f64 im re)) 1)
(pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1 (atan2.f64 im re))) 2)
(pow.f64 (neg.f64 (atan2.f64 im re)) -1)
(pow.f64 (*.f64 (atan2.f64 im re) -1) -1)
(neg.f64 (/.f64 1 (atan2.f64 im re)))
(sqrt.f64 (/.f64 1 (pow.f64 (atan2.f64 im re) 2)))
(log.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (atan2.f64 im re)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 -1 (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (atan2.f64 im re))))

simplify104.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1146×	`associate-/l*`
582×	`log-prod`
512×	`sqr-pow`
484×	`cube-prod`
376×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	438	7324
1	883	7114
2	3131	6828

Stop Event

1×	node limit

Counts

342 → 258

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3) (pow.f64 (log.f64 1/10) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 1/10) 3) (/.f64 -1 (pow.f64 (atan2.f64 im re) 3))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re))) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (log.f64 10) (atan2.f64 im re))
(exp.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (log.f64 10) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 1))
(/.f64 (log.f64 10) (atan2.f64 im re))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (log.f64 10) (atan2.f64 im re))
(+.f64 0 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))) (cbrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))) 1)
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 1)
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 1 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2)))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2)) (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2)))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)))
(.f64 (/.f64 1 (log.f64 1/10)) (.f64 (atan2.f64 im re) -1))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(.f64 (.f64 (atan2.f64 im re) -1) (/.f64 1 (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1/2) (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1/2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 -1 (log.f64 1/10)) (atan2.f64 im re))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (/.f64 -1 (log.f64 1/10)) 1) (atan2.f64 im re))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(.f64 (.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(.f64 (.f64 (/.f64 -1 (log.f64 1/10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 (/.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (atan2.f64 im re) -1) (log.f64 1/10))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1/2) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (/.f64 -1 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 3))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(+.f64 0 (/.f64 -1 (atan2.f64 im re)))
(/.f64 -1 (atan2.f64 im re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re)))) (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (atan2.f64 im re)))) 1)
(/.f64 -1 (atan2.f64 im re))
(*.f64 -1 (/.f64 1 (atan2.f64 im re)))
(/.f64 -1 (atan2.f64 im re))
(*.f64 (/.f64 -1 (atan2.f64 im re)) 1)
(/.f64 -1 (atan2.f64 im re))
(*.f64 1 (/.f64 -1 (atan2.f64 im re)))
(/.f64 -1 (atan2.f64 im re))
(*.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) (pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 2))
(/.f64 -1 (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 2) (/.f64 -1 (cbrt.f64 (atan2.f64 im re))))
(/.f64 -1 (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 -1 (atan2.f64 im re))) (sqrt.f64 (/.f64 -1 (atan2.f64 im re))))
(/.f64 -1 (atan2.f64 im re))
(*.f64 (/.f64 1 (atan2.f64 im re)) -1)
(/.f64 -1 (atan2.f64 im re))
(pow.f64 (/.f64 -1 (atan2.f64 im re)) 1)
(/.f64 -1 (atan2.f64 im re))
(pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 3)
(/.f64 -1 (atan2.f64 im re))
(pow.f64 (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3) 1/3)
(/.f64 -1 (atan2.f64 im re))
(pow.f64 (sqrt.f64 (/.f64 -1 (atan2.f64 im re))) 2)
(/.f64 -1 (atan2.f64 im re))
(pow.f64 (neg.f64 (atan2.f64 im re)) -1)
(/.f64 -1 (atan2.f64 im re))
(pow.f64 (*.f64 (atan2.f64 im re) -1) -1)
(/.f64 -1 (atan2.f64 im re))
(neg.f64 (/.f64 1 (atan2.f64 im re)))
(/.f64 -1 (atan2.f64 im re))
(sqrt.f64 (/.f64 1 (pow.f64 (atan2.f64 im re) 2)))
(sqrt.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))
(/.f64 -1 (atan2.f64 im re))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (atan2.f64 im re)))))
(/.f64 -1 (atan2.f64 im re))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (atan2.f64 im re)))))
(/.f64 -1 (atan2.f64 im re))
(cbrt.f64 (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3))
(/.f64 -1 (atan2.f64 im re))
(expm1.f64 (log1p.f64 (/.f64 -1 (atan2.f64 im re))))
(/.f64 -1 (atan2.f64 im re))
(exp.f64 (log.f64 (/.f64 -1 (atan2.f64 im re))))
(/.f64 -1 (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (atan2.f64 im re))) 1))
(/.f64 -1 (atan2.f64 im re))
(log1p.f64 (expm1.f64 (/.f64 -1 (atan2.f64 im re))))
(/.f64 -1 (atan2.f64 im re))

eval115.0ms (2.7%)

Compiler: Compiled 4737 to 3446 computations (27.3% saved)

prune47.0ms (1.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	355	3	358
Fresh	0	0	0
Picked	1	2	3
Done	1	2	3
Total	357	7	364

Accurracy

100.0%

Counts

364 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.4%	(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	98.3%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
✓	99.4%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
▶	98.3%	(/.f64 -1 (*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re))))
✓	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.4%	(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	98.3%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
✓	99.4%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
▶	98.3%	(/.f64 -1 (*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re))))
✓	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))

Compiler

Compiled 144 to 116 computations (19.4% saved)

localize171.0ms (4%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
	99.9%	(/.f64 -1 (atan2.f64 im re))
✓	98.4%	(/.f64 1 (log.f64 1/10))
	98.4%	(log.f64 1/10)
✓	98.3%	(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
✓	99.5%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
	98.7%	(/.f64 (log.f64 10) (atan2.f64 im re))
	99.9%	(/.f64 -1 (atan2.f64 im re))
✓	99.5%	(/.f64 -1 (*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re))))
✓	98.7%	(*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re)))

Compiler

Compiled 87 to 52 computations (40.2% saved)

series3.0ms (0.1%)

Counts

5 → 96

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	im	@	inf	(*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re)))
0.0ms	re	@	-inf	(*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re)))
0.0ms	im	@	0	(*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re)))
0.0ms	im	@	-inf	(*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re)))
0.0ms	re	@	inf	(*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re)))

rewrite97.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`log-prod`
566×	`expm1-udef`
558×	`log1p-udef`
408×	`log-div`
390×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	121
1	400	79
2	5201	79

Stop Event

1×	node limit

Counts

5 → 241

Calls

Call 1

Inputs
(*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re)))
(/.f64 -1 (*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re))))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
(/.f64 1 (log.f64 1/10))

Outputs
(+.f64 0 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re)))) (cbrt.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re))))))
(-.f64 0 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 1)
(/.f64 (log1p.f64 9) (neg.f64 (atan2.f64 im re)))
(/.f64 -1 (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (/.f64 (log.f64 1/10) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(/.f64 (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2)
(neg.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))
(log.f64 (/.f64 1 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))))
(log.f64 (/.f64 1 (/.f64 1 (pow.f64 10 (/.f64 -1 (atan2.f64 im re))))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 9) 3) (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3)))
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(*.f64 (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 2)) (/.f64 (/.f64 -1 (log1p.f64 9)) (/.f64 -1 (cbrt.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (atan2.f64 im re)))) (/.f64 (/.f64 -1 (log1p.f64 9)) (sqrt.f64 (/.f64 -1 (atan2.f64 im re)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) -2)) -1) (/.f64 (/.f64 -1 (cbrt.f64 (log1p.f64 9))) (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) -2)) 1) (/.f64 (/.f64 -1 (cbrt.f64 (log1p.f64 9))) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) -2)) (pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) -2)) (sqrt.f64 (/.f64 -1 (atan2.f64 im re)))) (/.f64 (/.f64 -1 (cbrt.f64 (log1p.f64 9))) (sqrt.f64 (/.f64 -1 (atan2.f64 im re)))))
(*.f64 (/.f64 (pow.f64 (log.f64 1/10) -1/2) -1) (/.f64 (pow.f64 (log.f64 1/10) -1/2) (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 1/10) -1/2) 1) (/.f64 (pow.f64 (log.f64 1/10) -1/2) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 1/10) -1/2) (pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 2)) (/.f64 (pow.f64 (log.f64 1/10) -1/2) (/.f64 -1 (cbrt.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log1p.f64 9))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log1p.f64 9))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log1p.f64 9)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log1p.f64 9))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log1p.f64 9))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log1p.f64 9))))
(.f64 (.f64 (/.f64 1 (log1p.f64 9)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 1 (log1p.f64 9)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 -1 (log1p.f64 9)) 1) (neg.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2)
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log1p.f64 9)))
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(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log1p.f64 9)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (log1p.f64 9)) 3) (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log1p.f64 9) 3)))
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(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log1p.f64 9)))) (cbrt.f64 (exp.f64 (/.f64 -1 (log1p.f64 9)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log1p.f64 9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log1p.f64 9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log1p.f64 9))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (log1p.f64 9)))) 1)
(*.f64 -1 (/.f64 1 (log1p.f64 9)))
(*.f64 1 (/.f64 -1 (log1p.f64 9)))
(*.f64 (/.f64 -1 (log1p.f64 9)) 1)
(*.f64 (/.f64 -1 (cbrt.f64 (log1p.f64 9))) (cbrt.f64 (pow.f64 (log.f64 1/10) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) -2)) (/.f64 -1 (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (log.f64 1/10) -1/2) (pow.f64 (log.f64 1/10) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) 2)) -1) (pow.f64 (cbrt.f64 (log.f64 1/10)) -1))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 1/10)) -1) (pow.f64 (sqrt.f64 (log.f64 1/10)) -1))
(pow.f64 (log.f64 1/10) -1)
(pow.f64 (/.f64 -1 (log1p.f64 9)) 1)
(pow.f64 (/.f64 -1 (cbrt.f64 (log1p.f64 9))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (log1p.f64 9)) 3) 1/3)
(pow.f64 (pow.f64 (log.f64 1/10) -1/2) 2)
(sqrt.f64 (pow.f64 (log.f64 1/10) -2))
(log.f64 (exp.f64 (/.f64 -1 (log1p.f64 9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (log1p.f64 9)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (log1p.f64 9)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (log1p.f64 9))))
(exp.f64 (neg.f64 (log.f64 (log.f64 1/10))))
(exp.f64 (*.f64 (log.f64 (log.f64 1/10)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 1/10))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (log1p.f64 9))))

simplify102.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1288×	`fma-def`
986×	`unswap-sqr`
756×	`distribute-lft-in`
704×	`distribute-rgt-in`
340×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	8359
1	663	7853
2	2422	7525

Stop Event

1×	node limit

Counts

337 → 166

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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Outputs
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(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))) (pow.f64 (cbrt.f64 (log1p.f64 9)) 2))
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(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log1p.f64 9)))
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(/.f64 (atan2.f64 im re) (log1p.f64 9))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log1p.f64 9)))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))
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(/.f64 (atan2.f64 im re) (log1p.f64 9))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) -1))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1))
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(/.f64 (atan2.f64 im re) (log1p.f64 9))
(+.f64 0 (/.f64 -1 (log1p.f64 9)))
(/.f64 -1 (log1p.f64 9))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log1p.f64 9)))) (cbrt.f64 (exp.f64 (/.f64 -1 (log1p.f64 9)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log1p.f64 9))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log1p.f64 9)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log1p.f64 9))))))
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(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log1p.f64 9))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (log1p.f64 9)))) 1)
(/.f64 -1 (log1p.f64 9))
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(*.f64 1 (/.f64 -1 (log1p.f64 9)))
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(*.f64 (/.f64 -1 (log1p.f64 9)) 1)
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) 2)) -1) (pow.f64 (cbrt.f64 (log.f64 1/10)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 1 (cbrt.f64 (log.f64 1/10))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (log.f64 1/10))) 1) (cbrt.f64 (pow.f64 (log.f64 1/10) 2)))
(/.f64 (/.f64 1 (cbrt.f64 (log.f64 1/10))) (cbrt.f64 (pow.f64 (log.f64 1/10) 2)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 1/10)) -1) (pow.f64 (sqrt.f64 (log.f64 1/10)) -1))
(pow.f64 (sqrt.f64 (log.f64 1/10)) -2)
(pow.f64 (log.f64 1/10) -1)
(/.f64 1 (log.f64 1/10))
(pow.f64 (/.f64 -1 (log1p.f64 9)) 1)
(/.f64 -1 (log1p.f64 9))
(pow.f64 (/.f64 -1 (cbrt.f64 (log1p.f64 9))) 3)
(/.f64 -1 (log1p.f64 9))
(pow.f64 (pow.f64 (/.f64 -1 (log1p.f64 9)) 3) 1/3)
(/.f64 -1 (log1p.f64 9))
(pow.f64 (pow.f64 (log.f64 1/10) -1/2) 2)
(/.f64 1 (log.f64 1/10))
(sqrt.f64 (pow.f64 (log.f64 1/10) -2))
(/.f64 1 (log.f64 1/10))
(log.f64 (exp.f64 (/.f64 -1 (log1p.f64 9))))
(/.f64 -1 (log1p.f64 9))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (log1p.f64 9)))))
(/.f64 -1 (log1p.f64 9))
(cbrt.f64 (pow.f64 (/.f64 -1 (log1p.f64 9)) 3))
(/.f64 -1 (log1p.f64 9))
(expm1.f64 (log1p.f64 (/.f64 -1 (log1p.f64 9))))
(/.f64 -1 (log1p.f64 9))
(exp.f64 (neg.f64 (log.f64 (log.f64 1/10))))
(/.f64 1 (log.f64 1/10))
(exp.f64 (*.f64 (log.f64 (log.f64 1/10)) -1))
(/.f64 1 (log.f64 1/10))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 1/10))) 1))
(/.f64 1 (log.f64 1/10))
(log1p.f64 (expm1.f64 (/.f64 -1 (log1p.f64 9))))
(/.f64 -1 (log1p.f64 9))

eval122.0ms (2.8%)

Compiler: Compiled 5330 to 3827 computations (28.2% saved)

prune52.0ms (1.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	379	0	379
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	379	7	386

Accurracy

100.0%

Counts

386 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.4%	(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	98.3%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
✓	99.4%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	98.3%	(/.f64 -1 (*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re))))
✓	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))

Compiler

Compiled 233 to 163 computations (30% saved)

regimes29.0ms (0.7%)

Counts

15 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 -1 (*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re))))
(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

Outputs
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))

Calls

4 calls:

8.0ms	re
8.0ms	im
5.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
4.0ms	(atan2.f64 im re)

Results

Accuracy	Segments	Branch
99.8%	1	`re`
99.8%	1	`im`
99.8%	1	`(/.f64 (atan2.f64 im re) (log.f64 10))`
99.8%	1	`(atan2.f64 im re)`

Compiler

Compiled 180 to 118 computations (34.4% saved)

regimes10.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
3.0ms	re
2.0ms	im
2.0ms	(atan2.f64 im re)

Results

Accuracy	Segments	Branch
98.7%	1	`re`
98.7%	1	`im`
98.7%	1	`(/.f64 (atan2.f64 im re) (log.f64 10))`
98.7%	1	`(atan2.f64 im re)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg`
4×	`neg-mul-1`
4×	`+-commutative`
4×	`*-commutative`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	19	38
2	23	38
3	26	38
4	27	38

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (log.f64 10))

Outputs
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 17 to 13 computations (23.5% saved)

soundness164.0ms (3.8%)

Rules

1712×	`pow1`
1578×	`add-exp-log`
1578×	`log1p-expm1-u`
1578×	`expm1-log1p-u`
1540×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	178	17
2	2135	17
0	86	929
1	198	749
2	637	581
3	4195	581

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 73 to 46 computations (37% saved)

end27.0ms (0.6%)

Compiler: Compiled 46 to 32 computations (30.4% saved)

analyze1.0ms (0%)

sample1.2s (27%)

preprocess17.0ms (0.4%)

simplify14.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize45.0ms (1%)

series80.0ms (1.8%)

rewrite59.0ms (1.4%)

simplify51.0ms (1.2%)

eval9.0ms (0.2%)

prune47.0ms (1.1%)

localize408.0ms (9.4%)

series81.0ms (1.9%)

rewrite224.0ms (5.2%)

simplify272.0ms (6.3%)

eval358.0ms (8.3%)

prune186.0ms (4.3%)

localize143.0ms (3.3%)

series11.0ms (0.3%)

rewrite105.0ms (2.4%)

simplify104.0ms (2.4%)

eval115.0ms (2.7%)

prune47.0ms (1.1%)

localize171.0ms (4%)

series3.0ms (0.1%)

rewrite97.0ms (2.2%)

simplify102.0ms (2.4%)

eval122.0ms (2.8%)

prune52.0ms (1.2%)

regimes29.0ms (0.7%)

regimes10.0ms (0.2%)

simplify6.0ms (0.1%)

soundness164.0ms (3.8%)

end27.0ms (0.6%)

Profiling