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)

sample1.1s (29.2%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess21.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

12×	`sub-neg`
8×	`fma-def`
8×	`+-commutative`
4×	`*-commutative`
4×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	23	76
2	27	76
3	30	76
4	39	76
5	46	76
6	53	76

Stop Event

1×

saturated

Calls

Call 1

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify3.0ms (0.1%)

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

98.6%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	98.6%	(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 16 to 12 computations (25% saved)

localize35.0ms (0.9%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	98.6%	(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 17 to 10 computations (41.2% saved)

series33.0ms (0.9%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
7.0ms	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))

rewrite57.0ms (1.5%)

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))))

simplify53.0ms (1.4%)

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)

prune19.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Accurracy

100.0%

Counts

37 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	51.3%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
▶	97.5%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
✓	98.6%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	87.5%	(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
▶	98.1%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	51.3%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
▶	97.5%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
✓	98.6%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	87.5%	(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

Compiler

Compiled 220 to 176 computations (20% saved)

localize210.0ms (5.4%)

Local Accuracy

Found 12 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
	99.3%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	98.2%	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
	99.3%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.3%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
✓	97.4%	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
✓	99.6%	(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
	99.3%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	100.0%	(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 136 to 72 computations (47.1% saved)

series54.0ms (1.4%)

Counts

9 → 144

Calls

48 calls:

Time	Variable		Point	Expression
19.0ms	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))
4.0ms	im	@	inf	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
3.0ms	im	@	0	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
2.0ms	im	@	-inf	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))

rewrite142.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1496×	`log-prod`
1384×	`prod-diff`
582×	`expm1-udef`
574×	`log1p-udef`
398×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	169
1	486	149
2	5103	149

Stop Event

1×	node limit

Counts

9 → 582

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)
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)

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

simplify285.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

858×	`log-prod`
570×	`cube-prod`
528×	`associate-r`
502×	`associate-l`
484×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	500	4294986162
1	1023	18176
2	4104	18080

Stop Event

1×	node limit

Counts

726 → 307

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

eval247.0ms (6.4%)

Compiler: Compiled 9013 to 6183 computations (31.4% saved)

prune76.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	628	3	631
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	631	6	637

Accurracy

100.0%

Counts

637 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.1%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	99.3%	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
✓	98.6%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	97.7%	(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	99.3%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	98.1%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	99.3%	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
✓	98.6%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	97.7%	(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	99.3%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))

Compiler

Compiled 128 to 104 computations (18.8% saved)

localize206.0ms (5.3%)

Local Accuracy

Found 11 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 -1 (atan2.f64 im re))
✓	99.4%	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
✓	98.6%	(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10))
	98.4%	(log.f64 1/10)
✓	99.8%	(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))
✓	98.7%	(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2)))
✓	98.4%	(pow.f64 (log.f64 10) 2)
✓	98.4%	(cbrt.f64 (log.f64 10))
✓	99.4%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	98.6%	(/.f64 (log.f64 1/10) (atan2.f64 im re))
	98.4%	(log.f64 1/10)

Compiler

Compiled 101 to 66 computations (34.7% saved)

series17.0ms (0.4%)

Counts

9 → 120

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	im	@	0	(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2)))
2.0ms	re	@	0	(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2)))
1.0ms	re	@	-inf	(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2)))
1.0ms	im	@	-inf	(/.f64 (log.f64 1/10) (atan2.f64 im re))
0.0ms	im	@	-inf	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)

rewrite167.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`log-prod`
686×	`expm1-udef`
674×	`log1p-udef`
450×	`add-sqr-sqrt`
436×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	169
1	465	145
2	5997	145

Stop Event

1×	node limit

Counts

9 → 391

Calls

Call 1

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

simplify172.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1526×	`log-prod`
980×	`times-frac`
838×	`exp-prod`
576×	`associate-r`
556×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	571	12909
1	1226	12357
2	5544	12357

Stop Event

1×	node limit

Counts

511 → 343

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

eval161.0ms (4.2%)

Compiler: Compiled 6702 to 5051 computations (24.6% saved)

prune65.0ms (1.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	437	2	439
Fresh	0	0	0
Picked	1	2	3
Done	1	2	3
Total	439	6	445

Accurracy

100.0%

Counts

445 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	97.7%	(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))
▶	99.3%	(/.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))
▶	98.1%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
✓	99.3%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	98.6%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	97.7%	(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))
▶	99.3%	(/.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))
▶	98.1%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
✓	99.3%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))

Compiler

Compiled 128 to 104 computations (18.8% saved)

localize81.0ms (2.1%)

Local Accuracy

Found 6 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)))
✓	99.4%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
	98.6%	(/.f64 (log.f64 10) (atan2.f64 im re))

Compiler

Compiled 55 to 34 computations (38.2% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite84.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1424×	`log-prod`
674×	`pow-prod-up`
652×	`pow-exp`
526×	`expm1-udef`
518×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	351	45
2	4414	45

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

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

simplify80.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1194×	`times-frac`
1136×	`associate-/l*`
1054×	`associate-*r/`
872×	`associate-*l/`
778×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	4900
1	580	4640
2	1747	4524

Stop Event

1×	node limit

Counts

208 → 139

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

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

eval79.0ms (2.1%)

Compiler: Compiled 3695 to 2654 computations (28.2% saved)

prune63.0ms (1.6%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	260	6	266

Accurracy

100.0%

Counts

266 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	97.7%	(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))
✓	99.3%	(/.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))
✓	98.1%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
✓	99.3%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))

Compiler

Compiled 162 to 118 computations (27.2% saved)

regimes26.0ms (0.7%)

Counts

11 → 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 (/.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)
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))

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

Calls

4 calls:

10.0ms	im
6.0ms	re
3.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
3.0ms	(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 117 to 79 computations (32.5% saved)

regimes12.0ms (0.3%)

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:

4.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
3.0ms	im
3.0ms	re
2.0ms	(atan2.f64 im re)

Results

Accuracy	Segments	Branch
98.6%	1	`re`
98.6%	1	`im`
98.6%	1	`(/.f64 (atan2.f64 im re) (log.f64 10))`
98.6%	1	`(atan2.f64 im re)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify5.0ms (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)

soundness238.0ms (6.2%)

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)

end0.0ms (0%)

preprocess29.0ms (0.8%)

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

analyze1.0ms (0%)

sample1.1s (29.2%)

preprocess21.0ms (0.5%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize35.0ms (0.9%)

series33.0ms (0.9%)

rewrite57.0ms (1.5%)

simplify53.0ms (1.4%)

eval9.0ms (0.2%)

prune19.0ms (0.5%)

localize210.0ms (5.4%)

series54.0ms (1.4%)

rewrite142.0ms (3.7%)

simplify285.0ms (7.4%)

eval247.0ms (6.4%)

prune76.0ms (2%)

localize206.0ms (5.3%)

series17.0ms (0.4%)

rewrite167.0ms (4.3%)

simplify172.0ms (4.5%)

eval161.0ms (4.2%)

prune65.0ms (1.7%)

localize81.0ms (2.1%)

series1.0ms (0%)

rewrite84.0ms (2.2%)

simplify80.0ms (2.1%)

eval79.0ms (2.1%)

prune63.0ms (1.6%)

regimes26.0ms (0.7%)

regimes12.0ms (0.3%)

simplify5.0ms (0.1%)

soundness238.0ms (6.2%)

end0.0ms (0%)

preprocess29.0ms (0.8%)

Profiling