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

analyze225.0ms (2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	49.9%	0.1%	0%	49.9%	0%	4
0%	0%	49.9%	0.1%	0%	49.9%	0%	5
0%	0%	49.9%	0.1%	0%	49.9%	0%	6
9.4%	4.7%	45.2%	0.1%	0%	49.9%	0%	7
17.2%	8.6%	41.3%	0.1%	0%	49.9%	0%	8
27.3%	13.7%	36.3%	0.1%	0%	49.9%	0%	9
41%	20.5%	29.4%	0.1%	0%	49.9%	0%	10
48.6%	24.3%	25.6%	0.1%	0%	49.9%	0%	11
57.1%	28.5%	21.4%	0.1%	0%	49.9%	0%	12

Compiler

Compiled 32 to 19 computations (40.6% saved)

Precisions

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

ival-mult: 56.0ms (39.9% of total)

ival-log: 29.0ms (20.7% of total)

ival-add: 14.0ms (10% of total)

ival-atan2: 14.0ms (10% of total)

ival-sqrt: 11.0ms (7.8% of total)

ival-div: 7.0ms (5% of total)

ival-sub: 7.0ms (5% of total)

const: 1.0ms (0.7% of total)

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

sample2.1s (18%)

Results

1.5s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 436.0ms (38.9% of total)

ival-log: 227.0ms (20.3% of total)

ival-sqrt: 155.0ms (13.8% of total)

ival-atan2: 91.0ms (8.1% of total)

ival-add: 87.0ms (7.8% of total)

ival-div: 58.0ms (5.2% of total)

ival-sub: 51.0ms (4.6% of total)

const: 12.0ms (1.1% of total)

backward-pass: 4.0ms (0.4% of total)

Bogosity

preprocess160.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

explain641.0ms (5.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
140	-	4	(-1.2109955957537218e-160 -8.365935455665371e-271 1.6597783889498162e-116)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
2	-	2	(9.497325266687181e+189 -6.5896727849396946e-133 7.49598238028052e+173)	`(*.f64 (atan2.f64 im re) (log.f64 base))`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
0	-	0	-	`base`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	0	-	`#s(literal 0 binary64)`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))`
0	-	0	-	`(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))`
0	-	0	-	`re`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`im`
0	-	0	-	`(atan2.f64 im re)`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
0	-	0	-	`(log.f64 base)`

Results

104.0ms

512×

valid

Compiler

Compiled 277 to 56 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 24.0ms (40.5% of total)

ival-log: 13.0ms (21.9% of total)

ival-add: 5.0ms (8.4% of total)

ival-atan2: 5.0ms (8.4% of total)

ival-sqrt: 4.0ms (6.7% of total)

ival-div: 3.0ms (5.1% of total)

ival-sub: 3.0ms (5.1% of total)

const: 1.0ms (1.7% of total)

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.3%	(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
▶	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))

Compiler

Compiled 51 to 31 computations (39.2% saved)

simplify210.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

localize88.0ms (0.8%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.4%	(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
✓	accuracy	99.3%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
✓	accuracy	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.5%	(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
✓	accuracy	99.4%	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
✓	accuracy	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.5%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))

Results

60.0ms

256×

valid

Compiler

Compiled 106 to 16 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 7.0ms (32% of total)

ival-mult: 5.0ms (22.9% of total)

ival-log: 4.0ms (18.3% of total)

ival-atan2: 3.0ms (13.7% of total)

ival-fma: 3.0ms (13.7% of total)

const: 1.0ms (4.6% of total)

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

series151.0ms (1.3%)

Counts

10 → 192

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
45.0ms	re	@	0	(* (atan2 im re) (/ 1 (log base)))
31.0ms	base	@	0	(* (atan2 im re) (/ 1 (log base)))
28.0ms	im	@	0	(* (atan2 im re) (/ 1 (log base)))
14.0ms	base	@	-inf	(* (atan2 im re) (/ 1 (log base)))
7.0ms	base	@	inf	(* (atan2 im re) (/ 1 (log base)))

rewrite546.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

10 → 439

Calls

Call 1

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

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

simplify588.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

904×	`times-frac`
623×	`prod-exp`
493×	`associate-r`
400×	`associate-l`
276×	`div-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	515	17355
1	927	17112
2	6145	17106

Stop Event

1×	node limit

Counts

631 → 310

Calls

Call 1

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

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

eval98.0ms (0.9%)

Compiler: Compiled 12627 to 1641 computations (87% saved)

prune133.0ms (1.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	771	10	781
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	773	12	785

Accuracy

100.0%

Counts

785 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	98.0%	(/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
▶	99.4%	(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	51.8%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶	91.7%	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	98.1%	(.f64 (atan2.f64 im re) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)) (.f64 (log.f64 base) (log.f64 base))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	50.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	91.6%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))

Compiler

Compiled 272 to 192 computations (29.4% saved)

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(atan2.f64 im re)
	cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	cost-diff	0	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(pow.f64 (atan2.f64 im re) #s(literal 3 binary64))
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)))
✓	cost-diff	12864	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
✓	cost-diff	0	(log.f64 (log.f64 base))
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	12800	(exp.f64 (log.f64 (log.f64 base)))
✓	cost-diff	12800	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
	cost-diff	0	(atan2.f64 im re)
	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	cost-diff	256	(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))

Rules

14×	`associate-/r*`
10×	`associate-/r/`
10×	`associate-*r/`
8×	`fma-define`
7×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	455
1	43	455
2	59	455
3	82	455
4	129	455
5	150	455
6	176	455
7	187	455
8	196	455
9	197	455

Stop Event

1×

saturated

Calls

Call 1

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

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

localize119.0ms (1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(log.f64 base)
	accuracy	99.9%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	accuracy	99.8%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
✓	accuracy	98.9%	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
✓	accuracy	99.7%	(pow.f64 (atan2.f64 im re) #s(literal 3 binary64))
✓	accuracy	98.5%	(cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)))
	accuracy	100.0%	(log.f64 base)
✓	accuracy	100.0%	(log.f64 (log.f64 base))
✓	accuracy	99.9%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
✓	accuracy	99.6%	(exp.f64 (log.f64 (log.f64 base)))
	accuracy	100.0%	(atan2.f64 im re)
	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	accuracy	99.9%	(/.f64 (log.f64 base) (atan2.f64 im re))
	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.9%	(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))

Results

59.0ms	194×	0	invalid
25.0ms	62×	0	valid

Compiler

Compiled 139 to 23 computations (83.5% saved)

Precisions

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

ival-div: 15.0ms (30.5% of total)

ival-atan2: 10.0ms (20.3% of total)

ival-pow: 10.0ms (20.3% of total)

ival-log: 8.0ms (16.3% of total)

ival-exp: 2.0ms (4.1% of total)

ival-cbrt: 2.0ms (4.1% of total)

ival-sqrt: 2.0ms (4.1% of total)

const: 1.0ms (2% of total)

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

series100.0ms (0.9%)

Counts

12 → 252

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
35.0ms	base	@	0	(log (log base))
19.0ms	base	@	-inf	(log (log base))
17.0ms	base	@	inf	(log (log base))
3.0ms	base	@	-inf	(/ 1 (/ (log base) (atan2 im re)))
1.0ms	im	@	-inf	(pow (atan2 im re) 3)

rewrite235.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`log1p-expm1-u`
1006×	`expm1-log1p-u`
592×	`log-prod`
188×	`expm1-undefine`
188×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	246
1	387	246
2	3234	246

Stop Event

1×	node limit

Counts

12 → 547

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (/.f64 (atan2.f64 im re) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(+.f64 (log.f64 base) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 base) #s(literal 2 binary64))) (log.f64 (cbrt.f64 base)))
(+.f64 (log.f64 (cbrt.f64 base)) (log.f64 (pow.f64 (cbrt.f64 base) #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 base))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 base))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(neg.f64 (neg.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 base)
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 base #s(literal 1 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 base)))))
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 base)))
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
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(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (atan2.f64 im re))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 3 binary64)) (atan2.f64 im re))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 1 binary64)) (atan2.f64 im re))
(.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan2.f64 im re))))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (atan2.f64 im re))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (/.f64 (atan2.f64 im re) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))
(/.f64 (sqrt.f64 (neg.f64 (atan2.f64 im re))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (sqrt.f64 (atan2.f64 im re))) (neg.f64 (sqrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64)))

simplify387.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

469×	`cube-prod`
451×	`exp-prod`
371×	`distribute-lft-neg-out`
310×	`distribute-lft-neg-in`
304×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	558	22305
1	909	21773
2	3948	21715

Stop Event

1×	node limit

Counts

799 → 333

Calls

Call 1

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

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

eval95.0ms (0.8%)

Compiler: Compiled 11886 to 2100 computations (82.3% saved)

prune330.0ms (2.9%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	831	4	835
Fresh	2	3	5
Picked	0	5	5
Done	0	2	2
Total	833	14	847

Accuracy

100.0%

Counts

847 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 2 binary64))
✓	51.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
▶	98.0%	(/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
✓	99.4%	(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	51.8%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
▶	99.1%	(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
▶	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	91.7%	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	87.6%	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
▶	50.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 257 to 185 computations (28% saved)

simplify38.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cbrt.f64 (log.f64 base))
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
✓	cost-diff	12864	(/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal 3 binary64))
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	12864	(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
✓	cost-diff	12864	(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	cost-diff	0	(log.f64 base)
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	cost-diff	12800	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	cost-diff	0	(pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	cost-diff	0	(log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
	cost-diff	0	(log.f64 base)
	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))

Rules

55×	`associate-r`
54×	`times-frac`
29×	`associate-l`
25×	`associate-*r/`
23×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	573
1	44	543
2	91	513
3	182	513
4	308	513
5	374	513
6	386	513
7	390	513
8	395	513
9	401	513
10	406	513

Stop Event

1×

saturated

Calls

Call 1

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

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

localize159.0ms (1.4%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
✓	accuracy	99.7%	(cbrt.f64 (log.f64 base))
✓	accuracy	99.6%	(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
✓	accuracy	99.7%	(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
✓	accuracy	99.5%	(pow.f64 (log.f64 base) #s(literal 3 binary64))
	accuracy	100.0%	(log.f64 base)
✓	accuracy	100.0%	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
	accuracy	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	accuracy	99.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	accuracy	100.0%	(log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
✓	accuracy	96.2%	(pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
	accuracy	100.0%	(log.f64 base)
	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))

Results

47.0ms	129×	0	invalid
43.0ms	107×	0	valid
27.0ms	20×	5	exit

Compiler

Compiled 151 to 23 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-pow: 24.0ms (35.7% of total)

ival-div: 20.0ms (29.7% of total)

ival-log: 10.0ms (14.9% of total)

backward-pass: 5.0ms (7.4% of total)

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

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

ival-atan2: 2.0ms (3% of total)

const: 1.0ms (1.5% of total)

series719.0ms (6.3%)

Counts

13 → 300

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
314.0ms	base	@	inf	(log (/ (atan2 im re) (log base)))
74.0ms	base	@	-inf	(/ 1 (log (pow base (/ 1 (atan2 im re)))))
34.0ms	re	@	inf	(log (/ (atan2 im re) (log base)))
23.0ms	base	@	0	(/ 1 (log (pow base (/ 1 (atan2 im re)))))
23.0ms	re	@	-inf	(/ 1 (log (pow base (/ 1 (atan2 im re)))))

rewrite225.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`log1p-expm1-u`
822×	`expm1-log1p-u`
224×	`expm1-undefine`
224×	`log1p-undefine`
145×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	341
1	398	275
2	4180	275

Stop Event

1×	node limit

Counts

13 → 653

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (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) (atan2.f64 im re))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (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) (atan2.f64 im re))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (atan2.f64 im re) #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) (atan2.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (pow.f64 (atan2.f64 im re) #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) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)) (neg.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal -1 binary64)))
(pow.f64 (atan2.f64 im re) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (atan2.f64 im re))) #s(literal 3 binary64))
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(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)) (neg.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 base))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 base #s(literal 2 binary64)))) (log.f64 (cbrt.f64 base)))
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 base))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log.f64 base)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(.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)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/6 binary64))) (pow.f64 (log.f64 base) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 base)
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 base #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 base)))
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 base))) #s(literal 1/3 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 (cbrt.f64 (cbrt.f64 (log.f64 base))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1/3 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 (log.f64 base) #s(literal 1/6 binary64)) (pow.f64 (log.f64 base) #s(literal 1/6 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 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 1/3 binary64)))
(pow.f64 (log.f64 base) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/9 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)))

simplify634.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

764×	`exp-prod`
639×	`fma-neg`
471×	`associate-r`
401×	`times-frac`
375×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	743	4294996535
1	1497	4294995092
2	6007	4294995092

Stop Event

1×	node limit

Counts

953 → 437

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
(exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
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(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (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) (atan2.f64 im re))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (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) (atan2.f64 im re))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (atan2.f64 im re) #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) (atan2.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (pow.f64 (atan2.f64 im re) #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) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)) (neg.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 base))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 base #s(literal 2 binary64)))) (log.f64 (cbrt.f64 base)))
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 base))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log.f64 base)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(.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)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/6 binary64))) (pow.f64 (log.f64 base) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 base)
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 base #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 base)))
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 base))) #s(literal 1/3 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 (cbrt.f64 (cbrt.f64 (log.f64 base))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1/3 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 (log.f64 base) #s(literal 1/6 binary64)) (pow.f64 (log.f64 base) #s(literal 1/6 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 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 1/3 binary64)))
(pow.f64 (log.f64 base) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/9 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)))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
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(cbrt.f64 (log.f64 base))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.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))))
(cbrt.f64 (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) (pow.f64 (log.f64 base) #s(literal 1/6 binary64)))
(cbrt.f64 (log.f64 base))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (log.f64 base)))
(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 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(pow.f64 (log.f64 base) #s(literal 1/3 binary64))
(cbrt.f64 (log.f64 base))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 1 binary64))
(cbrt.f64 (log.f64 base))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 3 binary64))
(cbrt.f64 (log.f64 base))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (log.f64 base))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 (log.f64 base)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 base))))
(cbrt.f64 (log.f64 base))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (log.f64 base)))))
(cbrt.f64 (log.f64 base))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 base))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 base))))
(cbrt.f64 (log.f64 base))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 base))))
(cbrt.f64 (log.f64 base))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1/3 binary64)))
(cbrt.f64 (log.f64 base))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) #s(literal 1 binary64)))
(cbrt.f64 (log.f64 base))

eval353.0ms (3.1%)

Compiler: Compiled 14047 to 2486 computations (82.3% saved)

prune255.0ms (2.2%)

Pruning

16 alts after pruning (4 fresh and 12 done)

	Pruned	Kept	Total
New	913	2	915
Fresh	0	2	2
Picked	0	5	5
Done	0	7	7
Total	913	16	929

Accuracy

100.0%

Counts

929 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.0%	(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 2 binary64))
✓	51.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
✓	98.0%	(/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
✓	99.4%	(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	51.8%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
✓	99.1%	(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
✓	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
▶	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	91.7%	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	87.6%	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	50.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 196 to 140 computations (28.6% saved)

simplify306.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
✓	cost-diff	12992	(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 2 binary64))
	cost-diff	0	(log.f64 base)
	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	cost-diff	12992	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	cost-diff	0	(atan2.f64 im re)
	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	cost-diff	0	(atan2.f64 im re)
	cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))

Rules

1053×	`cube-prod`
771×	`cube-div`
719×	`unswap-sqr`
557×	`fabs-mul`
536×	`pow-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	502
1	47	502
2	76	484
3	122	484
4	239	484
5	981	484
6	1659	484
7	1937	484
8	2328	484
9	3001	484
10	4238	484
11	4759	484
12	5376	484
13	5874	484
14	6346	484
15	6733	484
16	7402	484
17	7826	484

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
base
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
#s(literal 2 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
base
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 2 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(log.f64 base)
base
(atan2.f64 im re)
im
re
#s(literal 2 binary64)

localize248.0ms (2.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
	accuracy	99.7%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	accuracy	99.6%	(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 2 binary64))
✓	accuracy	98.1%	(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.7%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	accuracy	99.7%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	accuracy	99.6%	(pow.f64 (log.f64 base) #s(literal 2 binary64))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
	accuracy	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))

Results

156.0ms	127×	0	valid
59.0ms	129×	0	invalid

Compiler

Compiled 150 to 22 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-div: 164.0ms (90.9% of total)

ival-pow: 6.0ms (3.3% of total)

ival-log: 4.0ms (2.2% of total)

ival-atan2: 3.0ms (1.7% of total)

ival-mult: 2.0ms (1.1% of total)

ival-sqrt: 2.0ms (1.1% of total)

const: 1.0ms (0.6% of total)

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

series75.0ms (0.7%)

Counts

10 → 304

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
55.0ms	im	@	inf	(sqrt (/ (log base) (atan2 im re)))
0.0ms	base	@	inf	(sqrt (/ (log base) (atan2 im re)))
0.0ms	base	@	-inf	(sqrt (/ (log base) (atan2 im re)))
0.0ms	im	@	-inf	(sqrt (/ (log base) (atan2 im re)))
0.0ms	base	@	0	(sqrt (/ (log base) (atan2 im re)))

rewrite452.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`log1p-expm1-u`
731×	`expm1-log1p-u`
153×	`pow1`
152×	`add-exp-log`
148×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	262
1	447	256
2	5200	256

Stop Event

1×	node limit

Counts

10 → 665

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))

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

simplify1.0s (8.8%)

Algorithm

1×	egg-herbie

Rules

518×	`cube-prod`
483×	`exp-prod`
346×	`div-sub`
339×	`associate-r`
307×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	644	33948
1	1299	32746
2	5097	32746

Stop Event

1×	node limit

Counts

969 → 383

Calls

Call 1

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

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

eval160.0ms (1.4%)

Compiler: Compiled 15440 to 2710 computations (82.4% saved)

prune200.0ms (1.7%)

Pruning

16 alts after pruning (0 fresh and 16 done)

	Pruned	Kept	Total
New	941	0	941
Fresh	0	0	0
Picked	0	4	4
Done	0	12	12
Total	941	16	957

Accuracy

100.0%

Counts

957 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.0%	(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 2 binary64))
✓	51.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
✓	98.0%	(/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
✓	99.4%	(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	51.8%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
✓	99.1%	(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
✓	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	91.7%	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (log.f64 base))
✓	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	87.6%	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	50.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 424 to 206 computations (51.4% saved)

regimes163.0ms (1.4%)

Accuracy

Total -57.1b remaining (-19610.4%)

Threshold costs -57.1b (-19610.4%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

5 calls:

138.0ms	base
6.0ms	im
6.0ms	(log.f64 base)
6.0ms	re
6.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

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

Compiler

Compiled 48 to 31 computations (35.4% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness203.0ms (1.8%)

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	done
1×	node limit

Compiler

Compiled 126 to 35 computations (72.2% saved)

preprocess20.0ms (0.2%)

Compiler: Compiled 80 to 48 computations (40% saved)

Iter	Nodes	Cost
0	29	455
1	43	455
2	59	455
3	82	455
4	129	455
5	150	455
6	176	455
7	187	455
8	196	455
9	197	455

Iter	Nodes	Cost
0	29	573
1	44	543
2	91	513
3	182	513
4	308	513
5	374	513
6	386	513
7	390	513
8	395	513
9	401	513
10	406	513

Iter	Nodes	Cost
0	29	455
1	43	455
2	59	455
3	82	455
4	129	455
5	150	455
6	176	455
7	187	455
8	196	455
9	197	455

Iter	Nodes	Cost
0	29	573
1	44	543
2	91	513
3	182	513
4	308	513
5	374	513
6	386	513
7	390	513
8	395	513
9	401	513
10	406	513

analyze225.0ms (2%)

sample2.1s (18%)

preprocess160.0ms (1.4%)

explain641.0ms (5.6%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify210.0ms (1.8%)

localize88.0ms (0.8%)

series151.0ms (1.3%)

rewrite546.0ms (4.8%)

simplify588.0ms (5.1%)

eval98.0ms (0.9%)

prune133.0ms (1.2%)

simplify28.0ms (0.2%)

localize119.0ms (1%)

series100.0ms (0.9%)

rewrite235.0ms (2.1%)

simplify387.0ms (3.4%)

eval95.0ms (0.8%)

prune330.0ms (2.9%)

simplify38.0ms (0.3%)

localize159.0ms (1.4%)

series719.0ms (6.3%)

rewrite225.0ms (2%)

simplify634.0ms (5.6%)

eval353.0ms (3.1%)

prune255.0ms (2.2%)

simplify306.0ms (2.7%)

localize248.0ms (2.2%)

series75.0ms (0.7%)

rewrite452.0ms (4%)

simplify1.0s (8.8%)

eval160.0ms (1.4%)

prune200.0ms (1.7%)

regimes163.0ms (1.4%)

simplify5.0ms (0%)

soundness203.0ms (1.8%)

preprocess20.0ms (0.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	29	455
1	43	455
2	59	455
3	82	455
4	129	455
5	150	455
6	176	455
7	187	455
8	196	455
9	197	455

Iter	Nodes	Cost
0	29	573
1	44	543
2	91	513
3	182	513
4	308	513
5	374	513
6	386	513
7	390	513
8	395	513
9	401	513
10	406	513