Metrics for math.log/2 on complex, imaginary part

analyze238.0ms (1.6%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	49.9%	0.1%	0%	49.9%	0%	4
0%	0%	49.9%	0.1%	0%	49.9%	0%	5
0%	0%	49.9%	0.1%	0%	49.9%	0%	6
9.4%	4.7%	45.2%	0.1%	0%	49.9%	0%	7
17.2%	8.6%	41.3%	0.1%	0%	49.9%	0%	8
27.3%	13.7%	36.3%	0.1%	0%	49.9%	0%	9
41%	20.5%	29.4%	0.1%	0%	49.9%	0%	10
48.6%	24.3%	25.6%	0.1%	0%	49.9%	0%	11
57.1%	28.5%	21.4%	0.1%	0%	49.9%	0%	12

Compiler

Compiled 32 to 19 computations (40.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-mult: 62.0ms (42.1% of total)

ival-log: 33.0ms (22.4% of total)

ival-add: 14.0ms (9.5% of total)

ival-atan2: 14.0ms (9.5% of total)

ival-sqrt: 9.0ms (6.1% of total)

ival-sub: 7.0ms (4.7% of total)

ival-div: 6.0ms (4.1% of total)

const: 2.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

sample2.4s (16%)

Results

1.4s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 975.0ms

ival-mult: 313.0ms (32.1% of total)

ival-log: 210.0ms (21.5% of total)

ival-div: 145.0ms (14.9% of total)

ival-add: 88.0ms (9% of total)

ival-atan2: 81.0ms (8.3% of total)

ival-sqrt: 75.0ms (7.7% of total)

ival-sub: 48.0ms (4.9% of total)

const: 12.0ms (1.2% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess165.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

915×	`fma-neg`
460×	`div-sub`
403×	`neg-mul-1`
323×	`associate-/r*`
317×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	646
1	262	624
2	543	376
3	1056	322
4	1841	322
5	3535	322
6	5223	322
7	6553	322
8	7761	322

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im))))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(neg.f64 (/.f64 (-.f64 (.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(neg.f64 (/.f64 (-.f64 (.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im))))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(neg.f64 (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (atan2.f64 re im) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (atan2.f64 im base) (log.f64 re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 base base) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 re) (log.f64 re)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (atan2.f64 base re) (log.f64 im)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 im) (log.f64 im)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Outputs
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (log.f64 base) (/.f64 (atan2.f64 im (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))))
(*.f64 (atan2.f64 im (neg.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im))))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)))
(*.f64 (atan2.f64 (neg.f64 im) re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 (neg.f64 base)) #s(literal 0 binary64)) (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(.f64 (log.f64 (neg.f64 base)) (/.f64 (atan2.f64 im re) (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base)))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) #s(literal 1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 (neg.f64 base)))
(neg.f64 (/.f64 (-.f64 (.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base) #s(literal 0 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (atan2.f64 im (neg.f64 re))) (.f64 (log.f64 base) (neg.f64 (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)))
(/.f64 (atan2.f64 im (neg.f64 re)) (neg.f64 (log.f64 base)))
(neg.f64 (/.f64 (-.f64 (.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im))))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (fma.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base) #s(literal 0 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (.f64 (log.f64 base) (atan2.f64 (neg.f64 im) re)) (.f64 (log.f64 base) (neg.f64 (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)))
(neg.f64 (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 (neg.f64 base)) #s(literal 0 binary64)) (neg.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base)))))
(/.f64 (.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (.f64 (log.f64 (neg.f64 base)) (neg.f64 (log.f64 (neg.f64 base)))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (neg.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (neg.f64 base)))
(/.f64 (-.f64 (.f64 (atan2.f64 re im) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (atan2.f64 re im) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 re im) (log.f64 base)))
(*.f64 (atan2.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (atan2.f64 re im) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im base) (log.f64 re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 base base) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 re) (log.f64 re)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (atan2.f64 im base) (log.f64 re) #s(literal 0 binary64)) (*.f64 (log.f64 re) (log.f64 re)))
(.f64 (atan2.f64 im base) (/.f64 (log.f64 re) (.f64 (log.f64 re) (log.f64 re))))
(/.f64 (*.f64 (atan2.f64 im base) #s(literal 1 binary64)) (log.f64 re))
(/.f64 (atan2.f64 im base) (log.f64 re))
(/.f64 (-.f64 (.f64 (atan2.f64 base re) (log.f64 im)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 im) (log.f64 im)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (atan2.f64 base re) (log.f64 im) #s(literal 0 binary64)) (*.f64 (log.f64 im) (log.f64 im)))
(.f64 (log.f64 im) (/.f64 (atan2.f64 base re) (.f64 (log.f64 im) (log.f64 im))))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 base re) (log.f64 im)))
(/.f64 (atan2.f64 base re) (log.f64 im))

explain272.0ms (1.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
129	-	2	(3.0962848086361963e-162 1.9997974546108786e-285 1.4575753293173178e+134)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
2	-	2	(2.1684719054639595e+160 1.6166795600081582e-162 3.603289422600856e-274)	`(*.f64 (atan2.f64 im re) (log.f64 base))`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
0	-	0	-	`base`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	0	-	`#s(literal 0 binary64)`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))`
0	-	0	-	`(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))`
0	-	0	-	`re`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`im`
0	-	0	-	`(atan2.f64 im re)`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
0	-	0	-	`(log.f64 base)`

Results

107.0ms

512×

valid

Compiler

Compiled 277 to 56 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 19.0ms (33.3% of total)

ival-log: 13.0ms (22.8% of total)

ival-sqrt: 6.0ms (10.5% of total)

ival-div: 5.0ms (8.8% of total)

ival-add: 5.0ms (8.8% of total)

ival-atan2: 5.0ms (8.8% of total)

ival-sub: 3.0ms (5.3% of total)

const: 1.0ms (1.8% of total)

backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler: Compiled 42 to 15 computations (64.3% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
▶	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.3%	(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
▶	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))

Compiler

Compiled 51 to 31 computations (39.2% saved)

localize369.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	6400	(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
✓	cost-diff	19456	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
✓	cost-diff	-128	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	12928	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
✓	cost-diff	13056	(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	128	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.5%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
✓	accuracy	99.5%	(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
✓	accuracy	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.5%	(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
✓	accuracy	99.4%	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
✓	accuracy	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.5%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))

Rules

1796×	`cube-prod`
977×	`swap-sqr`
594×	`cube-div`
547×	`fma-define`
373×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	360
1	38	334
2	47	334
3	67	334
4	108	334
5	300	334
6	1294	334
7	2192	334
8	2805	334
9	3302	334
10	4121	334
11	5383	334
12	5871	334
13	6241	334
14	6340	334
15	6444	334
16	6551	334

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
(atan2.f64 im re)
im
re
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
(log.f64 base)
base
(*.f64 (log.f64 base) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(literal 0 binary64)
(*.f64 (log.f64 base) (log.f64 base))

Outputs
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
base
(*.f64 (log.f64 base) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(literal 0 binary64)
(*.f64 (log.f64 base) (log.f64 base))

Results

134.0ms

256×

valid

Compiler

Compiled 106 to 16 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 7.0ms (33.1% of total)

ival-mult: 5.0ms (23.6% of total)

ival-atan2: 3.0ms (14.2% of total)

ival-log: 3.0ms (14.2% of total)

ival-fma: 3.0ms (14.2% of total)

const: 1.0ms (4.7% of total)

backward-pass: 0.0ms (0% of total)

series138.0ms (0.9%)

Counts

10 → 192

Calls

Call 1

Inputs
#<alt (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (log.f64 base)>
#<alt (atan2.f64 im re)>
#<alt (*.f64 (log.f64 base) (log.f64 base))>
#<alt (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))>
#<alt (.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))>
#<alt (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))>

Outputs
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (pow.f64 (log.f64 base) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 base) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 base) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 base) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))>
#<alt (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>

Calls

63 calls:

Time	Variable		Point	Expression
65.0ms	im	@	0	(* (atan2 im re) (/ 1 (log base)))
17.0ms	base	@	0	(* (atan2 im re) (/ 1 (log base)))
13.0ms	base	@	-inf	(* (atan2 im re) (/ 1 (log base)))
12.0ms	base	@	inf	(* (atan2 im re) (/ 1 (log base)))
6.0ms	re	@	0	(* (atan2 im re) (/ 1 (log base)))

rewrite300.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

991×	`log1p-expm1-u`
991×	`expm1-log1p-u`
561×	`log-prod`
171×	`expm1-undefine`
171×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	195
1	294	193
2	3525	193

Stop Event

1×	node limit

Counts

10 → 439

Calls

Call 1

Inputs
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
(atan2.f64 im re)
(*.f64 (log.f64 base) (log.f64 base))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(+.f64 (log.f64 base) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 base) #s(literal 2 binary64))) (log.f64 (cbrt.f64 base)))
(+.f64 (log.f64 (cbrt.f64 base)) (log.f64 (pow.f64 (cbrt.f64 base) #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 base))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (sqrt.f64 (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))
(/.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(fabs.f64 (log.f64 base))
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (log.f64 base)))
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (atan2.f64 im re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 im re))) (cbrt.f64 (exp.f64 (atan2.f64 im re))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 im re)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 im re)))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 im re)))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 im re))) #s(literal 1 binary64))
(*.f64 (atan2.f64 im re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan2.f64 im re))
(*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (cbrt.f64 (atan2.f64 im re)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (atan2.f64 im re)))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 1 binary64)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 (atan2.f64 im re) (log.f64 base))
(.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))

simplify423.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

904×	`times-frac`
623×	`prod-exp`
484×	`associate-r`
399×	`associate-l`
276×	`div-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	515	17355
1	927	17112
2	6129	17106

Stop Event

1×	node limit

Counts

631 → 308

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (-.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(log.f64 base)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(log.f64 base)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(log.f64 base)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(log.f64 base)
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))) (cbrt.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval107.0ms (0.7%)

Compiler: Compiled 12600 to 1638 computations (87% saved)

prune181.0ms (1.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	765	14	779
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	767	16	783

Accuracy

100.0%

Counts

783 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.0%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	97.6%	(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 3 binary64)) (log.f64 base))
▶	99.6%	(/.f64 (atan2.f64 im re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
	51.9%	(/.f64 (atan2.f64 im re) (expm1.f64 (log1p.f64 (log.f64 base))))
▶	51.8%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
▶	90.3%	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	52.3%	(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
	98.1%	(.f64 (atan2.f64 im re) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)) (.f64 (log.f64 base) (log.f64 base))))
	99.3%	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
▶	99.3%	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
	78.8%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	51.2%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	90.2%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))

Compiler

Compiled 376 to 266 computations (29.3% saved)

localize213.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	12864	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
✓	cost-diff	12992	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(pow.f64 (atan2.f64 im re) #s(literal 3 binary64))
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)))
✓	cost-diff	12864	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
✓	cost-diff	0	(log.f64 (log.f64 base))
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	12800	(exp.f64 (log.f64 (log.f64 base)))
✓	cost-diff	12800	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
	cost-diff	-128	(log.f64 base)
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	64	(log.f64 (/.f64 #s(literal 1 binary64) base))
✓	cost-diff	256	(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
✓	cost-diff	256	(/.f64 (atan2.f64 im re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.7%	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
✓	accuracy	99.7%	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
✓	accuracy	99.6%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.7%	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
✓	accuracy	99.3%	(pow.f64 (atan2.f64 im re) #s(literal 3 binary64))
✓	accuracy	93.8%	(cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)))
	accuracy	100.0%	(log.f64 base)
✓	accuracy	100.0%	(log.f64 (log.f64 base))
✓	accuracy	99.7%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
✓	accuracy	99.0%	(exp.f64 (log.f64 (log.f64 base)))
	accuracy	100.0%	(atan2.f64 im re)
	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	accuracy	99.7%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) base)
✓	accuracy	100.0%	(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal 1 binary64) base))
✓	accuracy	99.7%	(/.f64 (atan2.f64 im re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))

Rules

376×	`fma-define`
145×	`times-frac`
138×	`associate-l`
136×	`div-sub`
98×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	516
1	53	428
2	74	428
3	150	428
4	488	428
5	913	428
6	1515	428
7	1760	428
8	1876	428
9	1985	428
10	2248	428
11	2310	428

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(atan2.f64 im re)
im
re
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
#s(literal -1 binary64)
(log.f64 (/.f64 #s(literal 1 binary64) base))
(/.f64 #s(literal 1 binary64) base)
#s(literal 1 binary64)
base
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
#s(literal 1 binary64)
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
(atan2.f64 im re)
im
re
(exp.f64 (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(log.f64 base)
base
(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
(cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)))
(pow.f64 (atan2.f64 im re) #s(literal 3 binary64))
(atan2.f64 im re)
im
re
#s(literal 3 binary64)
(log.f64 base)
base
(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
(atan2.f64 im re)
im
re
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)

Outputs
(/.f64 (atan2.f64 im re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(neg.f64 (neg.f64 (log.f64 base)))
(log.f64 base)
#s(literal -1 binary64)
(log.f64 (/.f64 #s(literal 1 binary64) base))
(neg.f64 (log.f64 base))
(/.f64 #s(literal 1 binary64) base)
#s(literal 1 binary64)
base
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
#s(literal 1 binary64)
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
(neg.f64 (neg.f64 (log.f64 base)))
base
(atan2.f64 im re)
im
re
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(exp.f64 (log.f64 (log.f64 base)))
(neg.f64 (neg.f64 (log.f64 base)))
(log.f64 base)
(log.f64 (log.f64 base))
(log.f64 base)
(neg.f64 (neg.f64 (log.f64 base)))
base
(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)))
(atan2.f64 im re)
(pow.f64 (atan2.f64 im re) #s(literal 3 binary64))
(atan2.f64 im re)
im
re
#s(literal 3 binary64)
(log.f64 base)
(neg.f64 (neg.f64 (log.f64 base)))
base
(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
(neg.f64 (neg.f64 (log.f64 base)))
base
#s(literal -2 binary64)

Results

44.0ms	135×	0	valid
44.0ms	121×	0	invalid

Compiler

Compiled 141 to 25 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 14.0ms (28.3% of total)

ival-pow: 13.0ms (26.3% of total)

ival-log: 9.0ms (18.2% of total)

ival-mult: 5.0ms (10.1% of total)

ival-atan2: 3.0ms (6.1% of total)

ival-exp: 2.0ms (4% of total)

ival-cbrt: 2.0ms (4% of total)

const: 1.0ms (2% of total)

backward-pass: 0.0ms (0% of total)

series218.0ms (1.5%)

Counts

15 → 272

Calls

Call 1

Inputs
#<alt (/.f64 (atan2.f64 im re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (log.f64 (/.f64 #s(literal 1 binary64) base))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal 1 binary64) base)>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))>
#<alt (exp.f64 (log.f64 (log.f64 base)))>
#<alt (/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))>
#<alt (log.f64 (log.f64 base))>
#<alt (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)))>
#<alt (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))>
#<alt (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))>
#<alt (pow.f64 (log.f64 base) #s(literal -2 binary64))>
#<alt (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))>
#<alt (.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))>

Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 base))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))>
#<alt (log.f64 base)>
#<alt (log.f64 base)>
#<alt (log.f64 base)>
#<alt (log.f64 base)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (log.f64 base)>
#<alt (log.f64 base)>
#<alt (log.f64 base)>
#<alt (log.f64 base)>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (atan2.f64 im re)>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>

Calls

87 calls:

Time	Variable		Point	Expression
92.0ms	re	@	0	(/ (atan2 im re) (* -1 (log (/ 1 base))))
33.0ms	im	@	0	(/ (atan2 im re) (* -1 (log (/ 1 base))))
20.0ms	base	@	0	(log (log base))
20.0ms	base	@	-inf	(log (log base))
15.0ms	base	@	inf	(log (log base))

rewrite226.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`log1p-expm1-u`
712×	`expm1-log1p-u`
669×	`log-prod`
198×	`expm1-undefine`
198×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	314
1	418	256
2	4791	256

Stop Event

1×	node limit

Counts

15 → 669

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(log.f64 (/.f64 #s(literal 1 binary64) base))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 #s(literal 1 binary64) base)
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (log.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)))
(pow.f64 (atan2.f64 im re) #s(literal 3 binary64))
(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base))
(.f64 (.f64 (atan2.f64 im re) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (log.f64 base)) (/.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (/.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(.f64 (.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64)) (log.f64 base))
(.f64 (.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(.f64 (.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(+.f64 (log.f64 base) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 base))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 base))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 base) #s(literal 2 binary64))) (log.f64 (cbrt.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 base) #s(literal 2 binary64))) (log.f64 (/.f64 (cbrt.f64 base) #s(literal 1 binary64))))
(+.f64 (log.f64 (cbrt.f64 base)) (log.f64 (pow.f64 (cbrt.f64 base) #s(literal 2 binary64))))
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(*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))
(log.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))))
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (log.f64 base))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64))) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))

simplify343.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

558×	`cube-prod`
545×	`exp-prod`
391×	`fma-neg`
380×	`associate-l`
378×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	725	25841
1	1228	25015
2	5103	25015

Stop Event

1×	node limit

Counts

941 → 456

Calls

Call 1

Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(*.f64 #s(literal -1 binary64) (log.f64 base))
(*.f64 #s(literal -1 binary64) (log.f64 base))
(*.f64 #s(literal -1 binary64) (log.f64 base))
(*.f64 #s(literal -1 binary64) (log.f64 base))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(log.f64 base)
(log.f64 base)
(log.f64 base)
(log.f64 base)
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 base)
(log.f64 base)
(log.f64 base)
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))
(log.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))))
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (log.f64 base))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64))) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (neg.f64 (atan2.f64 im re)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 base)))))
(/.f64 (neg.f64 (atan2.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (neg.f64 (atan2.f64 im re)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 base)))))
(/.f64 (neg.f64 (atan2.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
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(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64))) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval98.0ms (0.7%)

Compiler: Compiled 12010 to 2194 computations (81.7% saved)

prune251.0ms (1.7%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	845	6	851
Fresh	3	6	9
Picked	0	5	5
Done	0	2	2
Total	848	19	867

Accuracy

100.0%

Counts

867 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.0%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	97.6%	(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 3 binary64)) (log.f64 base))
✓	99.6%	(/.f64 (atan2.f64 im re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
	51.9%	(/.f64 (atan2.f64 im re) (expm1.f64 (log1p.f64 (log.f64 base))))
✓	51.8%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
✓	90.3%	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
▶	99.4%	(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64)))
	59.2%	(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (-.f64 base #s(literal 1 binary64))) (atan2.f64 im re)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
▶	82.7%	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
	52.3%	(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	98.1%	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))))
✓	99.3%	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
▶	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
▶	78.8%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	51.2%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 387 to 278 computations (28.2% saved)

localize433.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -3 binary64))
✓	cost-diff	0	(cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)))
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
	cost-diff	0	(log.f64 base)
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	cost-diff	12800	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	cost-diff	0	(pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	cost-diff	0	(log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	cost-diff	0	(log.f64 base)
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	6464	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64))
✓	cost-diff	6592	(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64)))
	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.6%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
✓	accuracy	99.3%	(cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)))
✓	accuracy	99.2%	(pow.f64 (log.f64 base) #s(literal -3 binary64))
	accuracy	100.0%	(log.f64 base)
✓	accuracy	100.0%	(exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
	accuracy	99.7%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	accuracy	94.4%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
✓	accuracy	99.2%	(log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
✓	accuracy	93.5%	(pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	accuracy	100.0%	(log.f64 base)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64)))
✓	accuracy	99.7%	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64))
	accuracy	99.7%	(/.f64 (atan2.f64 im re) (log.f64 base))

Rules

10×	`exp-prod`
9×	`associate-/r*`
7×	`associate-r`
7×	`times-frac`
7×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	650
1	41	578
2	51	578
3	88	578
4	108	578
5	114	578

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
#s(literal 1 binary64)
(log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
base
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(atan2.f64 im re)
im
re
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(pow.f64 (log.f64 base) #s(literal -3 binary64))
(log.f64 base)
base
#s(literal -3 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
#s(literal 1 binary64)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
#s(literal 1 binary64)
(log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
base
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(atan2.f64 im re)
im
re
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(pow.f64 (log.f64 base) #s(literal -3 binary64))
(log.f64 base)
base
#s(literal -3 binary64)

Results

109.0ms	64×	5	exit
82.0ms	192×	0	valid

Compiler

Compiled 163 to 23 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-pow: 33.0ms (30.1% of total)

ival-log: 26.0ms (23.7% of total)

ival-div: 18.0ms (16.4% of total)

backward-pass: 16.0ms (14.6% of total)

ival-exp: 5.0ms (4.6% of total)

ival-mult: 5.0ms (4.6% of total)

ival-atan2: 4.0ms (3.6% of total)

ival-cbrt: 2.0ms (1.8% of total)

const: 1.0ms (0.9% of total)

series517.0ms (3.5%)

Counts

13 → 356

Calls

Call 1

Inputs
#<alt (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))>
#<alt (/.f64 #s(literal 1 binary64) (atan2.f64 im re))>
#<alt (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))>
#<alt (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))>
#<alt (log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))>
#<alt (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))>
#<alt (pow.f64 (log.f64 base) #s(literal -3 binary64))>
#<alt (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)))>
#<alt (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))>

Outputs
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
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#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
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#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
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#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))>
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#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
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#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
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#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))>
#<alt (exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))>
#<alt (exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))>
#<alt (exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))>
#<alt (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re)))>
#<alt (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re)))>
#<alt (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re)))>
#<alt (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re)))>
#<alt (exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))>
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#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>

Calls

102 calls:

Time	Variable		Point	Expression
153.0ms	base	@	-inf	(log (pow base (/ 1 (atan2 im re))))
105.0ms	base	@	0	(log (pow base (/ 1 (atan2 im re))))
76.0ms	re	@	0	(log (pow base (/ 1 (atan2 im re))))
62.0ms	base	@	inf	(log (pow base (/ 1 (atan2 im re))))
19.0ms	re	@	inf	(log (pow base (/ 1 (atan2 im re))))

rewrite523.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`log1p-expm1-u`
735×	`expm1-log1p-u`
648×	`log-prod`
210×	`expm1-undefine`
210×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	335
1	357	313
2	3785	313

Stop Event

1×	node limit

Counts

13 → 562

Calls

Call 1

Inputs
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal -3 binary64))
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))

Outputs
(+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 base #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))) (log.f64 (cbrt.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 base #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))))
(+.f64 (log.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (/.f64 (log.f64 base) (atan2.f64 im re)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (log.f64 (pow.f64 (cbrt.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (log.f64 (pow.f64 (sqrt.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 1 binary64))
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (log.f64 base) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 (log.f64 base) #s(literal 1 binary64)))
(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 base)) (atan2.f64 im re)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (log.f64 base)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 base)) (atan2.f64 im re)))
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(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal -3 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -3 binary64)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 (log.f64 base))))
(exp.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 (log.f64 base))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))

simplify501.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

506×	`distribute-lft-in`
328×	`exp-prod`
315×	`cube-prod`
290×	`distribute-lft-neg-out`
241×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	542	28745
1	928	28411
2	3151	28285

Stop Event

1×	node limit

Counts

918 → 321

Calls

Call 1

Inputs
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(pow.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re))
(pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal -3 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -3 binary64)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 (log.f64 base))))
(exp.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 (log.f64 base))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))

Outputs
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
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(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval215.0ms (1.5%)

Compiler: Compiled 11971 to 2240 computations (81.3% saved)

prune319.0ms (2.2%)

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	798	2	800
Fresh	1	6	7
Picked	1	4	5
Done	0	7	7
Total	800	19	819

Accuracy

100.0%

Counts

819 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.0%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
▶	97.6%	(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 3 binary64)) (log.f64 base))
✓	99.6%	(/.f64 (atan2.f64 im re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
	51.9%	(/.f64 (atan2.f64 im re) (expm1.f64 (log1p.f64 (log.f64 base))))
✓	51.8%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	90.3%	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
▶	59.2%	(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (-.f64 base #s(literal 1 binary64))) (atan2.f64 im re)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
✓	82.7%	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
▶	98.1%	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))))
✓	99.3%	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
✓	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
✓	78.8%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	51.2%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 334 to 239 computations (28.4% saved)

localize4.2s (28.3%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
✓	cost-diff	25728	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
✓	cost-diff	25856	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))))
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(cbrt.f64 (atan2.f64 im re))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 3 binary64))
✓	cost-diff	12864	(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 3 binary64)) (log.f64 base))
	cost-diff	0	(atan2.f64 im re)
	cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	cost-diff	0	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	cost-diff	12800	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	cost-diff	0	(-.f64 base #s(literal 1 binary64))
✓	cost-diff	128	(log1p.f64 (-.f64 base #s(literal 1 binary64)))
✓	cost-diff	128	(/.f64 (log1p.f64 (-.f64 base #s(literal 1 binary64))) (atan2.f64 im re))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (-.f64 base #s(literal 1 binary64))) (atan2.f64 im re)))
	cost-diff	0	(atan2.f64 im re)
	cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	accuracy	99.7%	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))))
	accuracy	99.7%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	99.6%	(cbrt.f64 (log.f64 base))
✓	accuracy	99.5%	(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 3 binary64)) (log.f64 base))
✓	accuracy	99.2%	(pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 3 binary64))
✓	accuracy	96.5%	(cbrt.f64 (atan2.f64 im re))
	accuracy	100.0%	(log.f64 base)
	accuracy	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	accuracy	98.8%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	accuracy	97.1%	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	accuracy	100.0%	(-.f64 base #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (-.f64 base #s(literal 1 binary64))) (atan2.f64 im re)))
✓	accuracy	99.7%	(/.f64 (log1p.f64 (-.f64 base #s(literal 1 binary64))) (atan2.f64 im re))
✓	accuracy	78.9%	(log1p.f64 (-.f64 base #s(literal 1 binary64)))
	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
	accuracy	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))

Rules

787×	`associate-+r-`
775×	`associate-*r/`
671×	`times-frac`
588×	`associate-/r/`
529×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	547
1	60	534
2	146	522
3	453	522
4	1403	522
5	2779	522
6	2924	522
7	3190	522
8	3577	522
9	3723	522
10	3778	522
11	6009	522
12	6046	522
13	6135	522
14	7305	522
15	7759	522
16	7943	522

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (-.f64 base #s(literal 1 binary64))) (atan2.f64 im re)))
#s(literal 1 binary64)
(/.f64 (log1p.f64 (-.f64 base #s(literal 1 binary64))) (atan2.f64 im re))
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
(-.f64 base #s(literal 1 binary64))
base
(atan2.f64 im re)
im
re
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 3 binary64)) (log.f64 base))
(pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 3 binary64))
(cbrt.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
#s(literal 3 binary64)
(log.f64 base)
base
(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))))
(atan2.f64 im re)
im
re
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
(cbrt.f64 (log.f64 base))
#s(literal 3 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (-.f64 base #s(literal 1 binary64))) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
#s(literal 1 binary64)
(/.f64 (log1p.f64 (-.f64 base #s(literal 1 binary64))) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
(log.f64 base)
(-.f64 base #s(literal 1 binary64))
(+.f64 base #s(literal -1 binary64))
base
(atan2.f64 im re)
im
re
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 3 binary64)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 3 binary64))
(atan2.f64 im re)
(cbrt.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
#s(literal 3 binary64)
(log.f64 base)
base
(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
(log.f64 base)
(cbrt.f64 (log.f64 base))
#s(literal 3 binary64)

Results

3.7s	134×	0	invalid
139.0ms	66×	0	valid
52.0ms	23×	2	valid
43.0ms	33×	1	valid

Compiler

Compiled 172 to 26 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.7s

ival-mult: 3.6s (97.7% of total)

ival-pow: 25.0ms (0.7% of total)

ival-log: 25.0ms (0.7% of total)

ival-div: 13.0ms (0.3% of total)

backward-pass: 4.0ms (0.1% of total)

ival-log1p: 4.0ms (0.1% of total)

ival-cbrt: 4.0ms (0.1% of total)

ival-exp: 3.0ms (0.1% of total)

ival-atan2: 3.0ms (0.1% of total)

ival-sub: 2.0ms (0.1% of total)

const: 1.0ms (0% of total)

series527.0ms (3.6%)

Counts

15 → 337

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))>
#<alt (log1p.f64 (-.f64 base #s(literal 1 binary64)))>
#<alt (/.f64 (log1p.f64 (-.f64 base #s(literal 1 binary64))) (atan2.f64 im re))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (-.f64 base #s(literal 1 binary64))) (atan2.f64 im re)))>
#<alt (-.f64 base #s(literal 1 binary64))>
#<alt (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))>
#<alt (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))>
#<alt (cbrt.f64 (atan2.f64 im re))>
#<alt (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 3 binary64))>
#<alt (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 3 binary64)) (log.f64 base))>
#<alt (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))>
#<alt (cbrt.f64 (log.f64 base))>
#<alt (.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))>

Outputs
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
#<alt (/.f64 (log.f64 base) (atan2.f64 im re))>
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#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (/.f64 (atan2.f64 im re) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>

Calls

99 calls:

Time	Variable		Point	Expression
173.0ms	re	@	-inf	(log (/ (atan2 im re) (log base)))
157.0ms	base	@	-inf	(log (+ 1 (- base 1)))
25.0ms	base	@	inf	(* (atan2 im re) (* (pow (log base) -2) (pow (cbrt (log base)) 3)))
21.0ms	base	@	-inf	(log (/ (atan2 im re) (log base)))
19.0ms	re	@	inf	(log (/ (atan2 im re) (log base)))

rewrite264.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`log1p-expm1-u`
643×	`expm1-log1p-u`
186×	`prod-diff`
168×	`pow1`
166×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	331
1	468	294
2	5486	294

Stop Event

1×	node limit

Counts

15 → 687

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
(/.f64 (log1p.f64 (-.f64 base #s(literal 1 binary64))) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (-.f64 base #s(literal 1 binary64))) (atan2.f64 im re)))
(-.f64 base #s(literal 1 binary64))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (atan2.f64 im re))
(pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 3 binary64))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 3 binary64)) (log.f64 base))
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
(cbrt.f64 (log.f64 base))
(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64)))
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base)))
(.f64 (cbrt.f64 (atan2.f64 im re)) (.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(*.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(.f64 (.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (cbrt.f64 (atan2.f64 im re))) (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64)) (log.f64 base))
(.f64 (.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(.f64 (.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (log.f64 base) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 1 binary64)))
(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 base)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 base)) (atan2.f64 im re)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))) (/.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 (log.f64 base) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
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(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(fabs.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))

simplify563.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

822×	`cube-prod`
757×	`exp-prod`
689×	`times-frac`
457×	`fma-neg`
426×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	699	29584
1	1297	28999
2	5637	28690

Stop Event

1×	node limit

Counts

1024 → 448

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(log.f64 base)
(log.f64 base)
(log.f64 base)
(log.f64 base)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
#s(literal -1 binary64)
base
(*.f64 base (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))
(*.f64 base (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))
(*.f64 base (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))
base
(.f64 #s(literal -1 binary64) (.f64 base (-.f64 (/.f64 #s(literal 1 binary64) base) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 base (-.f64 (/.f64 #s(literal 1 binary64) base) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 base (-.f64 (/.f64 #s(literal 1 binary64) base) #s(literal 1 binary64))))
(log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
(log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
(log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
(log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
(log.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))
(log.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))
(log.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))
(log.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
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(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (log.f64 base)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 base))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 base))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(fabs.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(log.f64 base)
(log.f64 base)
(log.f64 base)
(log.f64 base)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(log.f64 base)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(log.f64 base)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(log.f64 base)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(log.f64 base)
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) #s(literal -1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(fabs.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))

eval118.0ms (0.8%)

Compiler: Compiled 16197 to 2779 computations (82.8% saved)

prune341.0ms (2.3%)

Pruning

20 alts after pruning (4 fresh and 16 done)

	Pruned	Kept	Total
New	988	1	989
Fresh	0	3	3
Picked	0	5	5
Done	0	11	11
Total	988	20	1008

Accuracy

100.0%

Counts

1008 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.0%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
✓	97.6%	(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 3 binary64)) (log.f64 base))
✓	99.6%	(/.f64 (atan2.f64 im re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
	51.9%	(/.f64 (atan2.f64 im re) (expm1.f64 (log1p.f64 (log.f64 base))))
✓	51.8%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	90.3%	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
✓	59.2%	(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (-.f64 base #s(literal 1 binary64))) (atan2.f64 im re)))
	38.2%	(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (fma.f64 base base #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 base #s(literal 1 binary64))))) (atan2.f64 im re)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
✓	82.7%	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	98.1%	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))))
✓	99.3%	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
✓	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
✓	78.8%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	51.2%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 558 to 280 computations (49.8% saved)

regimes45.0ms (0.3%)

Counts

28 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (-.f64 base #s(literal 1 binary64))) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (fma.f64 base base #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 base #s(literal 1 binary64))))) (atan2.f64 im re)))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (expm1.f64 (log1p.f64 (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 3 binary64)) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))))
(.f64 (atan2.f64 im re) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Outputs
(/.f64 (atan2.f64 im re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))

Calls

5 calls:

10.0ms	im
9.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
8.0ms	(log.f64 base)
8.0ms	base
8.0ms	re

Results

Accuracy	Segments	Branch
99.6%	1	`re`
99.6%	1	`im`
99.6%	1	`base`
99.6%	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
99.6%	1	`(log.f64 base)`

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes18.0ms (0.1%)

Accuracy

Total -26.0b remaining (-9100.4%)

Threshold costs -26b (-9100.4%)

Counts

7 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (-.f64 base #s(literal 1 binary64))) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))

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

Calls

4 calls:

9.0ms	im
3.0ms	re
3.0ms	(log.f64 base)
3.0ms	base

Results

Accuracy	Segments	Branch
99.6%	1	`re`
99.6%	1	`im`
99.6%	1	`base`
99.6%	1	`(log.f64 base)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg`
3×	`1-exp`
3×	`*-commutative`
3×	`neg-sub0`
3×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	62
1	26	62
2	29	62
3	34	62
4	39	62
5	42	62
6	43	62

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))

Outputs

(/.f64 (atan2.f64 im re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))

(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))

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

soundness200.0ms (1.4%)

Rules

915×	`fma-neg`
460×	`div-sub`
403×	`neg-mul-1`
323×	`associate-/r*`
317×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	646
1	262	624
2	543	376
3	1056	322
4	1841	322
5	3535	322
6	5223	322
7	6553	322
8	7761	322

Stop Event

1×	fuel
1×	node limit

Compiler

Compiled 135 to 40 computations (70.4% saved)

preprocess39.0ms (0.3%)

Compiler: Compiled 98 to 58 computations (40.8% saved)

math.log/2 on complex, imaginary part

analyze238.0ms (1.6%)

sample2.4s (16%)

preprocess165.0ms (1.1%)

explain272.0ms (1.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize369.0ms (2.5%)

series138.0ms (0.9%)

rewrite300.0ms (2%)

simplify423.0ms (2.9%)

eval107.0ms (0.7%)

prune181.0ms (1.2%)

localize213.0ms (1.4%)

series218.0ms (1.5%)

rewrite226.0ms (1.5%)

simplify343.0ms (2.3%)

eval98.0ms (0.7%)

prune251.0ms (1.7%)

localize433.0ms (3%)

series517.0ms (3.5%)

rewrite523.0ms (3.6%)

simplify501.0ms (3.4%)

eval215.0ms (1.5%)

prune319.0ms (2.2%)

localize4.2s (28.3%)

series527.0ms (3.6%)

rewrite264.0ms (1.8%)

simplify563.0ms (3.8%)

eval118.0ms (0.8%)

prune341.0ms (2.3%)

regimes45.0ms (0.3%)

regimes18.0ms (0.1%)

simplify3.0ms (0%)

soundness200.0ms (1.4%)

preprocess39.0ms (0.3%)

end0.0ms (0%)

Profiling