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

analyze224.0ms (2.4%)

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 21 computations (34.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-mult: 50.0ms (35.6% of total)

ival-log: 36.0ms (25.6% of total)

ival-atan2: 18.0ms (12.8% of total)

ival-add: 18.0ms (12.8% of total)

ival-sqrt: 10.0ms (7.1% of total)

ival-div: 6.0ms (4.3% of total)

const: 3.0ms (2.1% of total)

backward-pass: 1.0ms (0.7% of total)

sample2.2s (23.8%)

Results

1.8s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-log: 512.0ms (37.8% of total)

ival-mult: 483.0ms (35.7% of total)

ival-add: 136.0ms (10% of total)

ival-atan2: 77.0ms (5.7% of total)

ival-sqrt: 69.0ms (5.1% of total)

ival-div: 54.0ms (4% of total)

const: 20.0ms (1.5% of total)

backward-pass: 4.0ms (0.3% of total)

Bogosity

preprocess103.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

584×	`times-frac`
512×	`fma-neg`
490×	`associate-*r/`
437×	`distribute-rgt-neg-out`
435×	`associate-*l/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	674
1	185	652
2	306	652
3	568	398
4	1055	350
5	1803	350
6	5717	350

Stop Event

1×	node limit

Calls

Call 1

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

Symmetry

(abs re)

(abs im)

(sort re im)

explain307.0ms (3.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
129	-	2	(2.8729468534033585e-180 1.5395630490320745e-156 1.856155874738462e-48)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	0	-	`base`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	0	-	`(*.f64 (atan2.f64 im re) #s(literal 0 binary64))`
0	-	0	-	`#s(literal 0 binary64)`
0	-	0	-	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #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 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #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	-	`(log.f64 base)`

Results

124.0ms

512×

valid

Compiler

Compiled 277 to 88 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 31.0ms (43% of total)

ival-log: 13.0ms (18% of total)

ival-add: 12.0ms (16.7% of total)

ival-atan2: 5.0ms (6.9% of total)

ival-sqrt: 4.0ms (5.6% of total)

ival-div: 3.0ms (4.2% of total)

const: 3.0ms (4.2% of total)

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

eval1.0ms (0%)

Compiler: Compiled 59 to 18 computations (69.5% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	99.1%	(.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
▶	99.4%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))

Compiler

Compiled 54 to 34 computations (37% saved)

localize86.0ms (0.9%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	99.4%	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.4%	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.1%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.4%	(.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
✓	99.3%	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
✓	99.1%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.6%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	99.4%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))

Results

57.0ms

256×

valid

Compiler

Compiled 124 to 19 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 8.0ms (28% of total)

ival-log: 8.0ms (28% of total)

ival-mult: 6.0ms (21% of total)

ival-hypot: 6.0ms (21% of total)

const: 1.0ms (3.5% of total)

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

series118.0ms (1.3%)

Counts

9 → 224

Calls

Call 1

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

Outputs
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))>
#<alt (/.f64 (log.f64 re) (log.f64 base))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 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 #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 (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 (log.f64 im) (log.f64 base))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))>
#<alt (/.f64 (log.f64 re) (log.f64 base))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
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#<alt (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>

Calls

57 calls:

Time	Variable		Point	Expression
51.0ms	base	@	0	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
15.0ms	base	@	-inf	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
7.0ms	im	@	inf	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
7.0ms	base	@	inf	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
4.0ms	re	@	0	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))

rewrite286.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1037×	`log1p-expm1-u`
1037×	`expm1-log1p-u`
181×	`expm1-undefine`
181×	`log1p-undefine`
135×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	206
1	312	206
2	3458	206

Stop Event

1×	node limit

Counts

9 → 339

Calls

Call 1

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

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

simplify430.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

354×	`cube-prod`
339×	`exp-prod`
322×	`associate-r`
278×	`associate-l`
262×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	531	24696
1	1317	24268
2	4884	24030

Stop Event

1×	node limit

Counts

563 → 350

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 re) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 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) (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 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
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(log.f64 (pow.f64 base (log.f64 base)))
(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 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 re im))))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (log.f64 (hypot.f64 re im)) (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)) (log.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (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)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #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 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (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 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #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 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)))

Outputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) (.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64))) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (log.f64 base) (pow.f64 re #s(literal 2 binary64)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (log.f64 base) (pow.f64 re #s(literal 2 binary64))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 2 binary64))))))
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(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))
(log.f64 (pow.f64 (hypot.f64 im re) (log.f64 base)))
(log.f64 (pow.f64 base (log.f64 (hypot.f64 im re))))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) #s(literal 1 binary64))))
(log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))
(log.f64 (pow.f64 (hypot.f64 im re) (log.f64 base)))
(log.f64 (pow.f64 base (log.f64 (hypot.f64 im re))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))
(log.f64 (pow.f64 (hypot.f64 im re) (log.f64 base)))
(log.f64 (pow.f64 base (log.f64 (hypot.f64 im re))))
(exp.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))

eval86.0ms (0.9%)

Compiler: Compiled 8180 to 4071 computations (50.2% saved)

prune73.0ms (0.8%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	348	20	368
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	350	22	372

Accuracy

100.0%

Counts

372 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.6%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
	98.0%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
	98.0%	(/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64)) (.f64 (log.f64 base) (log.f64 base)))
	99.0%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
	98.2%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	98.6%	(/.f64 (log.f64 im) (log.f64 base))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	74.8%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
▶	98.0%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) #s(literal 3 binary64)))
▶	47.6%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
	98.8%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
✓	99.4%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.1%	(.f64 (log.f64 (hypot.f64 re im)) (.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
	98.6%	(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
	98.1%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.1%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	75.2%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
▶	47.7%	(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.1%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
	99.0%	(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))))

Compiler

Compiled 582 to 430 computations (26.1% saved)

localize163.0ms (1.8%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base)))
✓	99.8%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) #s(literal 3 binary64)))
✓	99.7%	(cbrt.f64 (log.f64 base))
✓	99.6%	(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) #s(literal 3 binary64))
✓	99.9%	(sqrt.f64 (log.f64 base))
✓	99.8%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
✓	99.7%	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64))
✓	99.8%	(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.8%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.5%	(log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
✓	99.8%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
✓	99.7%	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

Results

66.0ms	163×	0	invalid
52.0ms	93×	0	valid

Compiler

Compiled 152 to 37 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-pow: 23.0ms (34.8% of total)

ival-log: 14.0ms (21.2% of total)

ival-div: 13.0ms (19.7% of total)

ival-hypot: 5.0ms (7.6% of total)

ival-exp: 3.0ms (4.5% of total)

ival-mult: 3.0ms (4.5% of total)

ival-cbrt: 2.0ms (3% of total)

const: 2.0ms (3% of total)

ival-sqrt: 2.0ms (3% of total)

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

series300.0ms (3.3%)

Counts

12 → 284

Calls

Call 1

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

Outputs
#<alt (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (/.f64 (log.f64 base) (log.f64 im))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (/.f64 (log.f64 base) (log.f64 im)))>
#<alt (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))))) (/.f64 (log.f64 base) (log.f64 im)))>
#<alt (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 im)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))))))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))))) (/.f64 (log.f64 base) (log.f64 im)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64))))) (pow.f64 re #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (pow.f64 re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64))))) (pow.f64 re #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))))))>
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#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (cbrt.f64 (/.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 (cbrt.f64 (/.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 (cbrt.f64 (/.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 (cbrt.f64 (/.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

75 calls:

Time	Variable		Point	Expression
120.0ms	base	@	inf	(log (/ (log (sqrt (+ (* re re) (* im im)))) (log base)))
40.0ms	im	@	0	(/ (log im) (log base))
19.0ms	base	@	-inf	(log (/ (log (sqrt (+ (* re re) (* im im)))) (log base)))
19.0ms	base	@	0	(log (/ (log (sqrt (+ (* re re) (* im im)))) (log base)))
13.0ms	base	@	0	(/ (log im) (log base))

rewrite204.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`log1p-expm1-u`
902×	`expm1-log1p-u`
165×	`add-exp-log`
162×	`pow1`
160×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	275
1	419	275
2	4811	275

Stop Event

1×	node limit

Counts

12 → 440

Calls

Call 1

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

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

simplify373.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

611×	`fma-define`
585×	`associate-r`
535×	`associate-l`
517×	`times-frac`
297×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1129	4295004012
1	2846	4295003161

Stop Event

1×	node limit

Counts

724 → 577

Calls

Call 1

Inputs
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (log.f64 base) (log.f64 im))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))))) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 im)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))))))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))))) (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64))))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64))))) (pow.f64 re #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64))))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (pow.f64 re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64))))) (pow.f64 re #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64)))))) (log.f64 (/.f64 #s(literal -1 binary64) re)))))) (pow.f64 re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))))))))
(/.f64 (log.f64 base) (log.f64 re))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 re) #s(literal 2 binary64))))) (/.f64 (log.f64 base) (log.f64 re)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 re) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 re) #s(literal 3 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 re) #s(literal 2 binary64))))))) (/.f64 (log.f64 base) (log.f64 re)))
(+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 re) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 re) #s(literal 3 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 re)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 re) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 re) #s(literal 2 binary64))))))))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 re) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 re) #s(literal 3 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 re) #s(literal 2 binary64))))))) (/.f64 (log.f64 base) (log.f64 re)))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/6 binary64)))
(pow.f64 (log.f64 base) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64))
(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 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(fabs.f64 (sqrt.f64 (log.f64 base)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (log.f64 base)))))
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) #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) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (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)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (cbrt.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 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 (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 -1/2 binary64)))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -1/2 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 #s(literal -1 binary64) (pow.f64 (neg.f64 (cbrt.f64 (log.f64 base))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64)) (cbrt.f64 (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64))) (neg.f64 (cbrt.f64 (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)))
(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 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 base)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 base)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) (pow.f64 (log.f64 base) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(/.f64 (cbrt.f64 (log.f64 base)) #s(literal 1 binary64))
(/.f64 (neg.f64 (cbrt.f64 (log.f64 base))) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 1 binary64))
(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 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
(/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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) (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #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 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 (log.f64 base)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 (log.f64 base)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 (log.f64 base) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 (log.f64 base)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base)))))
(exp.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 base)))) #s(literal 1 binary64)))

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

eval169.0ms (1.8%)

Compiler: Compiled 15828 to 8667 computations (45.2% saved)

prune132.0ms (1.4%)

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	614	17	631
Fresh	11	4	15
Picked	1	4	5
Done	1	1	2
Total	627	26	653

Accuracy

100.0%

Counts

653 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.0%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
	97.1%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))
▶	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))))
	99.0%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
	98.2%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.6%	(/.f64 (log.f64 im) (log.f64 base))
▶	97.9%	(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) (log.f64 base)))
	99.0%	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))))))
	98.9%	(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))))
▶	74.2%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
	97.0%	(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
▶	98.5%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
	75.2%	(*.f64 (sqrt.f64 (log.f64 im)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
	47.3%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal -4 binary64)))
✓	98.0%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) #s(literal 3 binary64)))
	99.1%	(.f64 (log.f64 (hypot.f64 re im)) (.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
	98.6%	(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
	97.1%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.2%	(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
▶	74.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	47.7%	(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	98.2%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))

Compiler

Compiled 605 to 463 computations (23.5% saved)

localize149.0ms (1.6%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64)))
	99.5%	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
✓	99.4%	(cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
✓	99.1%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64))
✓	99.7%	(exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	99.6%	(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
	99.6%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.3%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
✓	99.6%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	99.6%	(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
	99.6%	(/.f64 (log.f64 im) (log.f64 base))
	99.7%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
	99.7%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	99.6%	(/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
✓	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))))

Results

79.0ms	194×	0	valid
26.0ms	62×	0	invalid

Compiler

Compiled 165 to 41 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-div: 19.0ms (29.7% of total)

ival-pow: 13.0ms (20.3% of total)

ival-log: 11.0ms (17.2% of total)

ival-hypot: 5.0ms (7.8% of total)

ival-expm1: 5.0ms (7.8% of total)

ival-log1p: 3.0ms (4.7% of total)

ival-exp: 2.0ms (3.1% of total)

ival-mult: 2.0ms (3.1% of total)

ival-cbrt: 2.0ms (3.1% of total)

const: 2.0ms (3.1% of total)

ival-sub: 1.0ms (1.6% of total)

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

series372.0ms (4%)

Counts

11 → 312

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))>
#<alt (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))>
#<alt (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))>
#<alt (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))>
#<alt (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64)))>

Outputs
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))>
#<alt (/.f64 (log.f64 re) (log.f64 base))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))>
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#<alt (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))>
#<alt (/.f64 (log.f64 re) (log.f64 base))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))))>

Calls

78 calls:

Time	Variable		Point	Expression
145.0ms	im	@	0	(log (+ 1 (/ (log im) (log base))))
26.0ms	base	@	0	(log (+ 1 (/ (log im) (log base))))
22.0ms	im	@	inf	(log (+ 1 (/ (log im) (log base))))
20.0ms	base	@	-inf	(log (+ 1 (/ (log im) (log base))))
18.0ms	im	@	-inf	(log (+ 1 (/ (log im) (log base))))

rewrite218.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`log1p-expm1-u`
562×	`prod-diff`
280×	`expm1-log1p-u`
155×	`add-exp-log`
152×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	313
1	414	287
2	4871	287

Stop Event

1×	node limit

Counts

11 → 506

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64))
(cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64)))

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

simplify431.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

901×	`fma-define`
625×	`times-frac`
431×	`*-commutative`
302×	`distribute-lft-in`
215×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1441	48889
1	4008	47284

Stop Event

1×	node limit

Counts

818 → 691

Calls

Call 1

Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))
(/.f64 (log.f64 re) (log.f64 base))
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(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (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)) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (log.f64 (hypot.f64 re im)) (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)) (log.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) #s(literal 2 binary64)) #s(literal -3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) #s(literal -3 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal 1/6 binary64)) #s(literal -3 binary64)) (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal 1/6 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 (hypot.f64 re im))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -2 binary64)))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 (hypot.f64 re im))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)) (neg.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal -3 binary64))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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 (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 base))))

Outputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (log.f64 base)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) (.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 re)) (neg.f64 (log.f64 base)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))) (.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
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(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -2 binary64)))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 (hypot.f64 re im))))))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 re im))))) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -2 binary64))))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 im re))))) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) (sqrt.f64 (log.f64 base))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)) (neg.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal -3 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal -3 binary64))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.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 (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) #s(literal -3 binary64)))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal -3 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal -3 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (-.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))

eval727.0ms (7.9%)

Compiler: Compiled 35253 to 21235 computations (39.8% saved)

prune337.0ms (3.7%)

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	1230	8	1238
Fresh	4	12	16
Picked	3	2	5
Done	1	4	5
Total	1238	26	1264

Accuracy

100.0%

Counts

1264 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.0%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
	97.1%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))
	75.8%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	75.8%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal -2 binary64)))
	98.4%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
▶	98.2%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.6%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
▶	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
▶	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) (log.f64 base)))
	99.0%	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))))))
	96.5%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 3 binary64)) #s(literal 1 binary64))
▶	97.7%	(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)) #s(literal 1 binary64))
	98.1%	(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	47.0%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (log.f64 im))
✓	98.5%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
	98.2%	(.f64 (.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (log.f64 im))
	75.2%	(*.f64 (sqrt.f64 (log.f64 im)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
	47.3%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal -4 binary64)))
	98.6%	(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
	97.1%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.2%	(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	74.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	47.7%	(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	98.2%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))

Compiler

Compiled 578 to 455 computations (21.3% saved)

localize162.0ms (1.8%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.8%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.7%	(*.f64 (log.f64 im) (log.f64 base))
	99.6%	(*.f64 (log.f64 base) (log.f64 base))
	99.9%	(sqrt.f64 (log.f64 base))
✓	99.7%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (log.f64 im))
	99.6%	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64))
✓	99.8%	(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))
	99.8%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.7%	(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
✓	99.6%	(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
✓	99.6%	(/.f64 (log.f64 base) (log.f64 im))
✓	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) (log.f64 base)))
	99.8%	(/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) (log.f64 base))

Results

58.0ms	133×	0	invalid
51.0ms	123×	0	valid

Compiler

Compiled 164 to 55 computations (66.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-div: 16.0ms (22.2% of total)

ival-log: 12.0ms (16.7% of total)

ival-pow: 12.0ms (16.7% of total)

ival-mult: 9.0ms (12.5% of total)

ival-add: 8.0ms (11.1% of total)

ival-hypot: 6.0ms (8.3% of total)

ival-sub: 4.0ms (5.6% of total)

const: 3.0ms (4.2% of total)

ival-sqrt: 2.0ms (2.8% of total)

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

series35.0ms (0.4%)

Counts

10 → 248

Calls

Call 1

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

Outputs
#<alt (/.f64 (log.f64 base) (log.f64 im))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (/.f64 (log.f64 base) (log.f64 im)))>
#<alt (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))))) (/.f64 (log.f64 base) (log.f64 im)))>
#<alt (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 im)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))))))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))))) (/.f64 (log.f64 base) (log.f64 im)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))>
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#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 base))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 base))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (+.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 im) (+.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 im) (+.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 im) (+.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 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 base))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 base))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 base))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 base))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (+.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 im) (+.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 im) (+.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 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))>
#<alt (*.f64 (log.f64 base) (log.f64 im))>
#<alt (*.f64 (log.f64 base) (log.f64 im))>
#<alt (*.f64 (log.f64 base) (log.f64 im))>
#<alt (*.f64 (log.f64 base) (log.f64 im))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (.f64 (log.f64 base) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 (log.f64 base) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 (log.f64 base) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (.f64 (log.f64 base) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 (log.f64 base) (log.f64 im))>
#<alt (*.f64 (log.f64 base) (log.f64 im))>
#<alt (*.f64 (log.f64 base) (log.f64 im))>
#<alt (*.f64 (log.f64 base) (log.f64 im))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>

Calls

66 calls:

Time	Variable		Point	Expression
4.0ms	base	@	0	(/ 1 (* (/ 1 (log (sqrt (+ (* re re) (* im im))))) (log base)))
3.0ms	im	@	-inf	(* (log im) (log base))
1.0ms	im	@	-inf	(/ (log base) (log im))
1.0ms	re	@	-inf	(* (/ 1 (log (sqrt (+ (* re re) (* im im))))) (log base))
1.0ms	re	@	inf	(* (/ 1 (log (sqrt (+ (* re re) (* im im))))) (log base))

rewrite249.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

451×	`log1p-expm1-u`
238×	`expm1-log1p-u`
235×	`add-exp-log`
231×	`pow1`
228×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	258
1	548	240
2	7606	240

Stop Event

1×	node limit

Counts

10 → 598

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) (log.f64 base)))
(/.f64 (log.f64 base) (log.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (log.f64 im))
(*.f64 (log.f64 im) (log.f64 base))
(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))

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

simplify500.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

612×	`fma-define`
543×	`times-frac`
461×	`associate-r`
252×	`*-commutative`
186×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1017	36974
1	2617	35821

Stop Event

1×	node limit

Counts

846 → 534

Calls

Call 1

Inputs
(/.f64 (log.f64 base) (log.f64 im))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))))) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 im)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))))))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))))) (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64))))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64))))) (pow.f64 re #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64))))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (pow.f64 re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64))))))))
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(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 im)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(.f64 (.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -2 binary64)))
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) #s(literal -2 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) (sqrt.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) #s(literal -2 binary64))

Outputs
(/.f64 (log.f64 base) (log.f64 im))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (/.f64 (log.f64 base) (log.f64 im)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 im) #s(literal 2 binary64)))) (/.f64 (log.f64 base) (log.f64 im)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (log.f64 base) (pow.f64 im #s(literal 2 binary64))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64)))) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))))) (/.f64 (log.f64 base) (log.f64 im)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (neg.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 3 binary64))))))) (.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64)))))) (/.f64 (log.f64 base) (log.f64 im)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (/.f64 (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 base) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64)))))) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 im)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))))))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64))))))) (/.f64 (log.f64 base) (log.f64 im)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (neg.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 3 binary64))))) (.f64 (log.f64 im) (pow.f64 im #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64))))))))) (.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 3 binary64))))))) (.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64)))))) (/.f64 (log.f64 base) (log.f64 im)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 re #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 3 binary64))))) (.f64 (log.f64 im) (pow.f64 im #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))) (pow.f64 (log.f64 im) #s(literal 3 binary64)))))) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 3 binary64)))))) (.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64)))))) (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))
(/.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 re)))
(/.f64 (log.f64 base) (log.f64 re))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (neg.f64 (log.f64 re))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (log.f64 base) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 base) (pow.f64 re #s(literal 2 binary64))) (pow.f64 (log.f64 re) #s(literal 2 binary64)))) (/.f64 (log.f64 base) (log.f64 re)))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64))))) (pow.f64 re #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 re))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 3 binary64)))))) (pow.f64 re #s(literal 4 binary64))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (log.f64 base) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64)))))))
(+.f64 (-.f64 (/.f64 (log.f64 base) (log.f64 re)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 re) #s(literal 2 binary64)))) (pow.f64 re #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 base) (pow.f64 im #s(literal 2 binary64))) (pow.f64 (log.f64 re) #s(literal 2 binary64)))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (pow.f64 re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64))))))))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (neg.f64 (log.f64 re))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/720 binary64) (.f64 (log.f64 base) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 3 binary64)))))) (neg.f64 (log.f64 re))))))) (pow.f64 re #s(literal 6 binary64))))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (log.f64 base) (.f64 (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (log.f64 base) (.f64 (pow.f64 (neg.f64 (log.f64 re)) #s(literal 3 binary64)) (pow.f64 re #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (log.f64 base) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 2 binary64)))))))))
(-.f64 (-.f64 (/.f64 (log.f64 base) (log.f64 re)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 re) #s(literal 2 binary64)))) (neg.f64 (log.f64 re)))) (.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 (log.f64 re) #s(literal 2 binary64)))))) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 re) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 base) (pow.f64 re #s(literal 2 binary64))) (pow.f64 (log.f64 re) #s(literal 2 binary64)))) (.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) #s(literal 3 binary64)))))))
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal -1 binary64))
(/.f64 (log.f64 im) (log.f64 base))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (log.f64 im) (log.f64 base))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal -1 binary64))
(/.f64 (log.f64 im) (log.f64 base))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) (sqrt.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (log.f64 im) (log.f64 base))

eval220.0ms (2.4%)

Compiler: Compiled 18532 to 11000 computations (40.6% saved)

prune207.0ms (2.2%)

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	750	11	761
Fresh	6	9	15
Picked	4	1	5
Done	0	6	6
Total	760	27	787

Accuracy

100.0%

Counts

787 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.0%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
	97.1%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))
	98.4%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
	98.2%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.6%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
✓	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
	98.2%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 im)))))
	98.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
	98.2%	(/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 im)))))
	98.0%	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (log.f64 im)))))
	96.5%	(-.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 3 binary64)) #s(literal 1 binary64))
	97.8%	(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)) #s(literal 2 binary64))
	98.1%	(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
	97.7%	(+.f64 #s(literal 2 binary64) (-.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))
	98.0%	(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64)))
	46.8%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal -4 binary64)) (log.f64 im))
	98.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 im)))
✓	98.5%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
	98.2%	(.f64 (.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (log.f64 im))
	98.6%	(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
	97.1%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.2%	(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	74.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	47.7%	(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	98.1%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -3 binary64)))

Compiler

Compiled 976 to 528 computations (45.9% saved)

regimes86.0ms (0.9%)

Counts

61 → 1

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	base
20.0ms	(log.f64 base)
16.0ms	re
16.0ms	im
9.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

Accuracy	Segments	Branch
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`
99.5%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
99.5%	1	`(log.f64 base)`

Compiler

Compiled 48 to 33 computations (31.3% saved)

regimes29.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64)))
(+.f64 #s(literal 2 binary64) (-.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))

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

Calls

4 calls:

16.0ms	re
5.0ms	(log.f64 base)
4.0ms	base
3.0ms	im

Results

Accuracy	Segments	Branch
98.6%	1	`re`
98.6%	1	`im`
98.6%	1	`base`
98.6%	1	`(log.f64 base)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.3b remaining (-29.3%)

Threshold costs -0.3b (-29.3%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	im
2.0ms	(log.f64 base)
2.0ms	re
2.0ms	base

Results

Accuracy	Segments	Branch
98.6%	1	`re`
98.6%	1	`im`
98.6%	1	`base`
98.6%	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	22	82
1	29	82
2	34	82
3	39	82
4	44	82
5	46	82

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness189.0ms (2.1%)

Rules

584×	`times-frac`
512×	`fma-neg`
490×	`associate-*r/`
437×	`distribute-rgt-neg-out`
435×	`associate-*l/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	674
1	185	652
2	306	652
3	568	398
4	1055	350
5	1803	350
6	5717	350

Stop Event

1×	fuel
1×	node limit

Compiler

Compiled 349 to 142 computations (59.3% saved)

preprocess44.0ms (0.5%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 348 to 236 computations (32.2% saved)

math.log/2 on complex, real part

analyze224.0ms (2.4%)

sample2.2s (23.8%)

preprocess103.0ms (1.1%)

explain307.0ms (3.3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize86.0ms (0.9%)

series118.0ms (1.3%)

rewrite286.0ms (3.1%)

simplify430.0ms (4.7%)

eval86.0ms (0.9%)

prune73.0ms (0.8%)

localize163.0ms (1.8%)

series300.0ms (3.3%)

rewrite204.0ms (2.2%)

simplify373.0ms (4.1%)

eval169.0ms (1.8%)

prune132.0ms (1.4%)

localize149.0ms (1.6%)

series372.0ms (4%)

rewrite218.0ms (2.4%)

simplify431.0ms (4.7%)

eval727.0ms (7.9%)

prune337.0ms (3.7%)

localize162.0ms (1.8%)

series35.0ms (0.4%)

rewrite249.0ms (2.7%)

simplify500.0ms (5.4%)

eval220.0ms (2.4%)

prune207.0ms (2.2%)

regimes86.0ms (0.9%)

regimes29.0ms (0.3%)

regimes7.0ms (0.1%)

simplify3.0ms (0%)

soundness189.0ms (2.1%)

preprocess44.0ms (0.5%)

end0.0ms (0%)

Profiling