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

analyze194.0ms (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 21 computations (34.4% saved)

sample1.8s (18.7%)

Results

1.8s

8256×

256

valid

Bogosity

preprocess555.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1716×	`div-sub`
1306×	`fma-def`
1238×	`times-frac`
934×	`distribute-lft-in`
910×	`distribute-rgt-in`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
121	-	1	(5.2304355268919776e-219 3.86975542379396e-157 1.9780110188889528e-181)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	0	-	`base`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0))`
0	-	0	-	`re`
0	-	0	-	`(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0))`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`(*.f64 (atan2.f64 im re) 0)`
0	-	0	-	`im`
0	-	0	-	`(atan2.f64 im re)`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(log.f64 base)`
0	-	0	-	`(*.f64 0 0)`
0	-	0	-	`0`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	674
1	181	652
2	289	652
3	517	404
4	1028	350
5	1930	350
6	7705	350

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im (neg.f64 re)) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im))))) (log.f64 base)) (.f64 (atan2.f64 (neg.f64 im) re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 (neg.f64 base))) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (.f64 0 0)))
(neg.f64 (/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im (neg.f64 re)) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0))))
(neg.f64 (/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im))))) (log.f64 base)) (.f64 (atan2.f64 (neg.f64 im) re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0))))
(neg.f64 (/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 (neg.f64 base))) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (.f64 0 0))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)) (.f64 (atan2.f64 re im) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 base base) (.f64 im im)))) (log.f64 re)) (.f64 (atan2.f64 im base) 0)) (+.f64 (.f64 (log.f64 re) (log.f64 re)) (.f64 0 0)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) (log.f64 im)) (.f64 (atan2.f64 base re) 0)) (+.f64 (.f64 (log.f64 im) (log.f64 im)) (.f64 0 0)))

Outputs
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im (neg.f64 re)) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im))))) (log.f64 base)) (.f64 (atan2.f64 (neg.f64 im) re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 (neg.f64 base))) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base)) 0) (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base))) (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (log.f64 (neg.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 (neg.f64 base)) 1))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base)))
(neg.f64 (/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im (neg.f64 re)) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0))))
(/.f64 (neg.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (neg.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))
(neg.f64 (/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im))))) (log.f64 base)) (.f64 (atan2.f64 (neg.f64 im) re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0))))
(/.f64 (neg.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (neg.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))
(neg.f64 (/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 (neg.f64 base))) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (.f64 0 0))))
(/.f64 (neg.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base)) 0)) (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(/.f64 (neg.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base)))) (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 (neg.f64 base)))) (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 (neg.f64 base))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)) (.f64 (atan2.f64 re im) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 base base) (.f64 im im)))) (log.f64 re)) (.f64 (atan2.f64 im base) 0)) (+.f64 (.f64 (log.f64 re) (log.f64 re)) (.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 base im)) (log.f64 re) 0) (*.f64 (log.f64 re) (log.f64 re)))
(/.f64 (.f64 (log.f64 (hypot.f64 im base)) (log.f64 re)) (.f64 (log.f64 re) (log.f64 re)))
(/.f64 (log.f64 (hypot.f64 im base)) (/.f64 (*.f64 (log.f64 re) (log.f64 re)) (log.f64 re)))
(/.f64 (log.f64 (hypot.f64 im base)) (/.f64 (log.f64 re) 1))
(/.f64 (log.f64 (hypot.f64 im base)) (log.f64 re))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) (log.f64 im)) (.f64 (atan2.f64 base re) 0)) (+.f64 (.f64 (log.f64 im) (log.f64 im)) (.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re base)) (log.f64 im) 0) (*.f64 (log.f64 im) (log.f64 im)))
(/.f64 (.f64 (log.f64 (hypot.f64 re base)) (log.f64 im)) (.f64 (log.f64 im) (log.f64 im)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im)) (/.f64 (log.f64 im) (log.f64 im)))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im)))
(/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im))

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 277 to 88 computations (68.2% saved)

eval1.0ms (0%)

Compiler: Compiled 59 to 17 computations (71.2% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize86.0ms (0.9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.5%	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.4%	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Compiler

Compiled 60 to 11 computations (81.7% saved)

series94.0ms (1%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
49.0ms	base	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
14.0ms	base	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
12.0ms	base	@	-inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
2.0ms	base	@	-inf	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
2.0ms	re	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

rewrite352.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`log-prod`
947×	`log1p-expm1-u`
947×	`expm1-log1p-u`
334×	`expm1-udef`
334×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	104
1	216	104
2	2908	104

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 base))
(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

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

simplify169.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

784×	`distribute-lft-in`
748×	`distribute-rgt-in`
624×	`associate-+r+`
536×	`associate-+l+`
500×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	392	16419
1	1010	13724
2	3448	13385

Stop Event

1×	node limit

Counts

273 → 268

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 im 6) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (.f64 (pow.f64 re 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
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(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 1))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) 1))

Outputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 im 6) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))) (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (/.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 (log.f64 base) (pow.f64 re 2))))
(-.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (.f64 1/2 (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (.f64 (pow.f64 re 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
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(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))) (.f64 1/720 (.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 120 (log.f64 base)))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(+.f64 (/.f64 (.f64 1/720 (.f64 (pow.f64 im 6) 120)) (.f64 (log.f64 base) (pow.f64 re 6))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (/.f64 (log.f64 re) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (/.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 (log.f64 base) (pow.f64 re 2))))
(-.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (.f64 1/2 (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))) (.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (.f64 (pow.f64 re 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (.f64 (log.f64 base) (pow.f64 re 6))) (/.f64 (.f64 1/2 (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))) (.f64 1/720 (.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 120 (log.f64 base)))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))) (/.f64 (.f64 1/720 (.f64 (pow.f64 im 6) 120)) (*.f64 (log.f64 base) (pow.f64 re 6))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (log.f64 re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (/.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 (log.f64 base) (pow.f64 re 2))))
(-.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (.f64 1/2 (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (pow.f64 re 6) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (/.f64 (log.f64 re) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))
(fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))) (/.f64 (log.f64 im) (log.f64 base)))
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(fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2))) (/.f64 (log.f64 im) (log.f64 base))))
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(fma.f64 -1 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/720 (/.f64 (.f64 (pow.f64 re 6) 120) (.f64 (log.f64 base) (pow.f64 im 6))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
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(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 3))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 1))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) 1))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))

eval127.0ms (1.3%)

Compiler: Compiled 6552 to 3351 computations (48.9% saved)

prune64.0ms (0.6%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	244	24	268
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	245	25	270

Accuracy

100.0%

Counts

270 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.0%	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
	99.2%	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
	47.9%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
	97.9%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
▶	97.0%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3))
	49.1%	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (exp.f64 (.f64 (log.f64 (log.f64 base)) 2)))
	98.6%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	98.8%	(/.f64 (log.f64 im) (log.f64 base))
	98.9%	(/.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))) (.f64 (log.f64 base) (log.f64 base)))
	74.4%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
	98.6%	(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
	98.0%	(.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
	73.9%	(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
	99.2%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
	99.3%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
	49.9%	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
▶	99.3%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
▶	99.2%	(.f64 (log.f64 (hypot.f64 re im)) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
	98.8%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
▶	97.7%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.0%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	74.7%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	98.9%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
	98.9%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 730 to 517 computations (29.2% saved)

localize368.0ms (3.7%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	99.4%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3))
✓	99.2%	(cbrt.f64 (log.f64 base))
✓	99.2%	(pow.f64 (cbrt.f64 (log.f64 base)) 2)
✓	98.8%	(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
✓	99.5%	(.f64 (log.f64 (hypot.f64 re im)) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
✓	99.4%	(*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))
✓	99.1%	(pow.f64 (log.f64 base) -2)
✓	99.4%	(expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.0%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
✓	99.3%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.5%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
✓	99.5%	(/.f64 1 (log.f64 base))

Compiler

Compiled 164 to 43 computations (73.8% saved)

series111.0ms (1.1%)

Counts

12 → 264

Calls

69 calls:

Time	Variable		Point	Expression
37.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 base))
13.0ms	base	@	0	(/.f64 (log.f64 im) (log.f64 base))
8.0ms	im	@	inf	(/.f64 (log.f64 im) (log.f64 base))
8.0ms	base	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
7.0ms	im	@	-inf	(/.f64 (log.f64 im) (log.f64 base))

rewrite223.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

992×	`log1p-expm1-u`
534×	`expm1-udef`
534×	`log1p-udef`
352×	`prod-diff`
322×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	265
1	438	261
2	5042	261

Stop Event

1×	node limit

Counts

12 → 484

Calls

Call 1

Inputs
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(/.f64 (log.f64 im) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(pow.f64 (log.f64 base) -2)
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))
(.f64 (log.f64 (hypot.f64 re im)) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (cbrt.f64 (log.f64 base)) 2)
(cbrt.f64 (log.f64 base))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3))

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

simplify296.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1554×	`times-frac`
1230×	`associate-/r*`
664×	`associate-/l*`
588×	`associate-*r/`
482×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	891	37054
1	2190	31170

Stop Event

1×	node limit

Counts

748 → 513

Calls

Call 1

Inputs
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 im 6) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (.f64 (pow.f64 re 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (.f64 (pow.f64 re 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (pow.f64 re 6) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (pow.f64 im 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (pow.f64 im 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 im 6) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (.f64 (pow.f64 re 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (.f64 (pow.f64 re 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
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(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2))
(.f64 (.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 12))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) 6))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2))
(*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6))
(.f64 (pow.f64 (log.f64 base) 1/6) (.f64 (pow.f64 (log.f64 base) 1/6) (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))
(cbrt.f64 (pow.f64 (log.f64 base) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 base)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 base)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 base)))) 1)
(*.f64 1 (cbrt.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 base)) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2))
(*.f64 (pow.f64 (log.f64 base) 1/6) (pow.f64 (log.f64 base) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) 1/3) (pow.f64 (sqrt.f64 (log.f64 base)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2)))
(pow.f64 (log.f64 base) 1/3)
(pow.f64 (cbrt.f64 (log.f64 base)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (log.f64 base) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(fabs.f64 (cbrt.f64 (log.f64 base)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 base)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 base))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))
(*.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (pow.f64 (log.f64 base) -2))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) -2)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 (hypot.f64 re im))))
(.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) -2)))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 4)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 1) (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) (log.f64 base))
(.f64 (.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(.f64 (.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (/.f64 1 (log.f64 base))) (/.f64 1 (log.f64 base)))
(.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -4))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) -3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))

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

eval366.0ms (3.7%)

Compiler: Compiled 15030 to 7747 computations (48.5% saved)

prune362.0ms (3.7%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	641	17	658
Fresh	14	5	19
Picked	4	1	5
Done	0	1	1
Total	659	24	683

Accuracy

100.0%

Counts

683 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.9%	(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
	98.6%	(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
	47.8%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	97.3%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	49.4%	(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	49.1%	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (exp.f64 (.f64 (log.f64 (log.f64 base)) 2)))
▶	98.6%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.8%	(/.f64 (log.f64 im) (log.f64 base))
	74.4%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
▶	49.9%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 (hypot.f64 re im)))
	97.9%	(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (log.f64 (hypot.f64 re im)))
	49.5%	(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))
	73.8%	(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
▶	98.8%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.1%	(*.f64 (log.f64 im) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))))
	98.8%	(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 (hypot.f64 re im)))
	98.8%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
▶	97.2%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	99.0%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	98.4%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	74.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.4%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
	98.4%	(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) -3)))

Compiler

Compiled 570 to 433 computations (24% saved)

localize231.0ms (2.4%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	99.9%	(pow.f64 (log.f64 base) -1/2)
✓	99.7%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 (hypot.f64 re im)))
✓	99.6%	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
✓	99.8%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.7%	(*.f64 (log.f64 im) (log.f64 base))
	99.6%	(*.f64 (log.f64 base) (log.f64 base))
	99.6%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.6%	(expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓	99.5%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	99.7%	(/.f64 1 (log.f64 base))
✓	99.7%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	99.7%	(/.f64 1 (log.f64 base))
✓	99.7%	(pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))
✓	99.6%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))

Compiler

Compiled 138 to 43 computations (68.8% saved)

series190.0ms (1.9%)

Counts

10 → 252

Calls

63 calls:

Time	Variable		Point	Expression
58.0ms	base	@	0	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
23.0ms	base	@	-inf	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
23.0ms	base	@	-inf	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
20.0ms	base	@	inf	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
19.0ms	base	@	0	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))

rewrite244.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`log1p-expm1-u`
657×	`expm1-log1p-u`
512×	`expm1-udef`
512×	`log1p-udef`
316×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	241
1	384	229
2	4464	229

Stop Event

1×	node limit

Counts

10 → 350

Calls

Call 1

Inputs
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log.f64 im) (log.f64 base))
(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 (hypot.f64 re im)))
(pow.f64 (log.f64 base) -1/2)

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

simplify227.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

942×	`fma-def`
902×	`associate-r`
810×	`associate-l`
714×	`times-frac`
660×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	817	28141
1	2153	25931

Stop Event

1×	node limit

Counts

602 → 464

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (-.f64 (.f64 24 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (log.f64 base)))))) (.f64 3 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (.f64 1/720 (.f64 (pow.f64 re 6) (+.f64 (.f64 -360 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (log.f64 base))))) (.f64 (pow.f64 im 2) (log.f64 base)))) (+.f64 (.f64 30 (/.f64 1 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)))) (.f64 720 (-.f64 (+.f64 (.f64 1/48 (/.f64 1 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 im 6) (log.f64 base))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2)))))))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (-.f64 (.f64 24 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (log.f64 base)))))) (.f64 3 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 24 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))))) (pow.f64 re 4))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 -360 (/.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (log.f64 base))) (+.f64 (.f64 30 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (.f64 720 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (log.f64 base))) (.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)))))))) (pow.f64 re 6))) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 24 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))))) (pow.f64 re 4))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 24 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))))) (pow.f64 re 4))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 -360 (/.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (log.f64 base))) (+.f64 (.f64 30 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (.f64 720 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (log.f64 base))) (.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)))))))) (pow.f64 re 6))) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 24 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))))) (pow.f64 re 4))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))))))
(/.f64 (log.f64 re) (log.f64 base))
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(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) (cbrt.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 3) 1) (+.f64 (.f64 (pow.f64 im (/.f64 1 (log.f64 base))) (pow.f64 im (/.f64 1 (log.f64 base)))) (+.f64 1 (.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1))))
(/.f64 (-.f64 (*.f64 (pow.f64 im (/.f64 1 (log.f64 base))) (pow.f64 im (/.f64 1 (log.f64 base)))) 1) (+.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1))
(pow.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))) 3))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 im)))) 1)
(pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 2))
(log.f64 (pow.f64 im (log.f64 base)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 im (log.f64 base)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 im) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 im))))
(exp.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 im))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 base) (log.f64 im))) 1))
(log1p.f64 (-.f64 (pow.f64 im (log.f64 base)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 im) 1))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(.f64 (.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) -2))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))
(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 im)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (log.f64 im)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 im))) 2) (.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) -2)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(.f64 (sqrt.f64 (log.f64 im)) (.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))
(.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) -2)))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 1 (neg.f64 (log.f64 base))))
(.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 im))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 (log.f64 im) 1) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (.f64 (log.f64 base) (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 im))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 im))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 im))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (log.f64 im)))
(.f64 (.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(.f64 (.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (log.f64 im) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 base)))) 1)
(*.f64 1 (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (.f64 (cbrt.f64 (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(.f64 (pow.f64 (log.f64 base) -1/4) (.f64 (pow.f64 (log.f64 base) -1/4) (pow.f64 (log.f64 base) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))
(.f64 (.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/4)) (pow.f64 (log.f64 base) -1/4))
(.f64 (.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (cbrt.f64 (log.f64 base)))) (cbrt.f64 (pow.f64 (log.f64 base) -1/2)))
(/.f64 1 (log.f64 base))
(/.f64 1 (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(log.f64 (exp.f64 (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) -1) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 -1 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -1/2))) 1)
(*.f64 1 (pow.f64 (log.f64 base) -1/2))
(*.f64 (pow.f64 (log.f64 base) -1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -1/2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -1/2)))
(*.f64 (pow.f64 (log.f64 base) -1/4) (pow.f64 (log.f64 base) -1/4))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (log.f64 base) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1/2) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1/2) (pow.f64 (sqrt.f64 (log.f64 base)) -1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (log.f64 base)))))
(/.f64 1 (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 base))))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(fabs.f64 (pow.f64 (log.f64 base) -1/2))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -1/2))))
(cbrt.f64 (pow.f64 (log.f64 base) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (log.f64 base))))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -1/2)))

Outputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (-.f64 (.f64 24 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (log.f64 base)))))) (.f64 3 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))))
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(/.f64 1 (log.f64 base))
(/.f64 1 (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 1 (log.f64 base))
(/.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(log.f64 (exp.f64 (/.f64 1 (log.f64 base))))
(/.f64 1 (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 base)))))
(/.f64 1 (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
(/.f64 1 (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))
(/.f64 1 (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(/.f64 1 (log.f64 base))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) -1))
(/.f64 1 (log.f64 base))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1))
(/.f64 1 (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))
(/.f64 1 (log.f64 base))
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) -1) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (*.f64 -1 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(fabs.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -1/2))) 1)
(pow.f64 (log.f64 base) -1/2)
(*.f64 1 (pow.f64 (log.f64 base) -1/2))
(pow.f64 (log.f64 base) -1/2)
(*.f64 (pow.f64 (log.f64 base) -1/2) 1)
(pow.f64 (log.f64 base) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -1/2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -1/2)))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -1/2)) (cbrt.f64 (log.f64 base)))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -1/2)))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -1/2)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -1/4) (pow.f64 (log.f64 base) -1/4))
(pow.f64 (log.f64 base) -1/2)
(*.f64 (pow.f64 1 -1/2) (pow.f64 (log.f64 base) -1/2))
(pow.f64 (log.f64 base) -1/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1/2) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1/2) (pow.f64 (sqrt.f64 (log.f64 base)) -1/2))
(/.f64 1 (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (log.f64 base)))))
(/.f64 1 (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 base))))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(fabs.f64 (pow.f64 (log.f64 base) -1/2))
(pow.f64 (log.f64 base) -1/2)
(log.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))
(pow.f64 (log.f64 base) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -1/2))))
(pow.f64 (log.f64 base) -1/2)
(cbrt.f64 (pow.f64 (log.f64 base) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -1/2)))
(pow.f64 (log.f64 base) -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 (log.f64 base))))
(pow.f64 (log.f64 base) -1/2)
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (log.f64 base))) 1))
(pow.f64 (log.f64 base) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -1/2)))
(pow.f64 (log.f64 base) -1/2)

eval477.0ms (4.9%)

Compiler: Compiled 16344 to 9281 computations (43.2% saved)

prune285.0ms (2.9%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	716	13	729
Fresh	11	6	17
Picked	3	2	5
Done	0	2	2
Total	730	23	753

Accuracy

100.0%

Counts

753 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.8%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	97.3%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	49.5%	(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1/2)) (sqrt.f64 (log.f64 base)))
▶	98.6%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	73.8%	(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.8%	(/.f64 (log.f64 im) (log.f64 base))
	98.7%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
	98.6%	(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (log.f64 im)) (log.f64 base)))
▶	98.6%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	74.4%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
	49.5%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 im))
	97.4%	(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (log.f64 im))
	49.4%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
✓	98.8%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.3%	(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 im))
	96.8%	(log1p.f64 (-.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1))
	93.3%	(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))))
✓	99.0%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	98.4%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
▶	99.0%	(log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))
	74.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	98.4%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 496 to 380 computations (23.4% saved)

localize208.0ms (2.1%)

Localize:

Found 15 expressions with local error:

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

Compiler

Compiled 142 to 44 computations (69% saved)

series271.0ms (2.8%)

Counts

12 → 276

Calls

75 calls:

Time	Variable		Point	Expression
92.0ms	re	@	inf	(log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))
73.0ms	base	@	inf	(log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))
26.0ms	base	@	-inf	(log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))
22.0ms	base	@	0	(log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))
4.0ms	im	@	inf	(log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))

rewrite225.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1003×	`log1p-expm1-u`
544×	`expm1-udef`
544×	`log1p-udef`
328×	`expm1-log1p-u`
260×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	293
1	439	293
2	4918	293

Stop Event

1×	node limit

Counts

12 → 583

Calls

Call 1

Inputs
(pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))
(log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))
(/.f64 2 (log.f64 base))
(sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))
(/.f64 (log.f64 base) (log.f64 im))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (log.f64 base) 2)
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))

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

simplify814.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

1266×	`times-frac`
936×	`fma-def`
652×	`*-commutative`
466×	`sqr-pow`
358×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1220	51374
1	3215	46539

Stop Event

1×	node limit

Counts

859 → 684

Calls

Call 1

Inputs
(exp.f64 (*.f64 2 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (exp.f64 (.f64 2 (/.f64 (log.f64 im) (log.f64 base)))) (/.f64 (.f64 (pow.f64 re 2) (exp.f64 (.f64 2 (/.f64 (log.f64 im) (log.f64 base))))) (.f64 (pow.f64 im 2) (log.f64 base))))
(+.f64 (exp.f64 (.f64 2 (/.f64 (log.f64 im) (log.f64 base)))) (+.f64 (.f64 (pow.f64 re 4) (.f64 (exp.f64 (.f64 2 (/.f64 (log.f64 im) (log.f64 base)))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 im 4) (log.f64 base))))))) (/.f64 (.f64 (pow.f64 re 2) (exp.f64 (.f64 2 (/.f64 (log.f64 im) (log.f64 base))))) (*.f64 (pow.f64 im 2) (log.f64 base)))))
(+.f64 (exp.f64 (.f64 2 (/.f64 (log.f64 im) (log.f64 base)))) (+.f64 (.f64 (pow.f64 re 4) (.f64 (exp.f64 (.f64 2 (/.f64 (log.f64 im) (log.f64 base)))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 im 4) (log.f64 base))))))) (+.f64 (.f64 (pow.f64 re 6) (.f64 (exp.f64 (.f64 2 (/.f64 (log.f64 im) (log.f64 base)))) (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)))) (.f64 1/3 (/.f64 1 (.f64 (pow.f64 im 6) (log.f64 base))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))))))) (/.f64 (.f64 (pow.f64 re 2) (exp.f64 (.f64 2 (/.f64 (log.f64 im) (log.f64 base))))) (.f64 (pow.f64 im 2) (log.f64 base))))))
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(+.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (.f64 (pow.f64 re 2) (log.f64 base))))
(+.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 4) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (pow.f64 re 4)) (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 4) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (pow.f64 re 4)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))) (+.f64 (.f64 1/360 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (log.f64 base))) (.f64 1/6 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)))))) (pow.f64 re 6)) (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(+.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))) (.f64 (pow.f64 re 2) (log.f64 base))))
(+.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 4) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (pow.f64 re 4)) (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))) (.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 4) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (pow.f64 re 4)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))) (+.f64 (.f64 1/360 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (log.f64 base))) (.f64 1/6 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)))))) (pow.f64 re 6)) (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(exp.f64 (*.f64 2 (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (exp.f64 (.f64 2 (/.f64 (log.f64 re) (log.f64 base)))) (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 2 (/.f64 (log.f64 re) (log.f64 base))))) (.f64 (pow.f64 re 2) (log.f64 base))))
(+.f64 (exp.f64 (.f64 2 (/.f64 (log.f64 re) (log.f64 base)))) (+.f64 (.f64 (pow.f64 im 4) (.f64 (exp.f64 (.f64 2 (/.f64 (log.f64 re) (log.f64 base)))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 re 4) (log.f64 base))))))) (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 2 (/.f64 (log.f64 re) (log.f64 base))))) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (exp.f64 (.f64 2 (/.f64 (log.f64 re) (log.f64 base)))) (+.f64 (.f64 (pow.f64 im 4) (.f64 (exp.f64 (.f64 2 (/.f64 (log.f64 re) (log.f64 base)))) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 re 4) (log.f64 base))))))) (+.f64 (.f64 (pow.f64 im 6) (.f64 (exp.f64 (.f64 2 (/.f64 (log.f64 re) (log.f64 base)))) (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)))) (.f64 1/3 (/.f64 1 (.f64 (pow.f64 re 6) (log.f64 base))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 2))))))) (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 2 (/.f64 (log.f64 re) (log.f64 base))))) (.f64 (pow.f64 re 2) (log.f64 base))))))
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(+.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))) (/.f64 (.f64 (pow.f64 re 2) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))) (.f64 (pow.f64 im 2) (log.f64 base))))
(+.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 4) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2))))) (pow.f64 im 4)) (/.f64 (.f64 (pow.f64 re 2) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))) (.f64 (pow.f64 im 2) (log.f64 base)))))
(+.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 4) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2))))) (pow.f64 im 4)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 2))) (+.f64 (.f64 1/360 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (log.f64 base))) (.f64 1/6 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)))))) (pow.f64 im 6)) (/.f64 (.f64 (pow.f64 re 2) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))) (*.f64 (pow.f64 im 2) (log.f64 base))))))
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(+.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))) (/.f64 (.f64 (pow.f64 re 2) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (.f64 (pow.f64 im 2) (log.f64 base))))
(+.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 4) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2))))) (pow.f64 im 4)) (/.f64 (.f64 (pow.f64 re 2) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (.f64 (pow.f64 im 2) (log.f64 base)))))
(+.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 4) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2))))) (pow.f64 im 4)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 2))) (+.f64 (.f64 1/360 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (log.f64 base))) (.f64 1/6 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)))))) (pow.f64 im 6)) (/.f64 (.f64 (pow.f64 re 2) (exp.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (*.f64 (pow.f64 im 2) (log.f64 base))))))
(exp.f64 (*.f64 2 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))))
(exp.f64 (*.f64 2 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))))
(exp.f64 (*.f64 2 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))))
(exp.f64 (*.f64 2 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))))
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base)))))
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base)))))
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(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 im)))
(.f64 (.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(.f64 (.f64 (/.f64 1 (log.f64 base)) 1) (log.f64 im))
(.f64 (.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (log.f64 im)))
(.f64 (.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 1 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))))
(/.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2))
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(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(/.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (.f64 (log.f64 base) (log.f64 im)))))
(/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(/.f64 (neg.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im)))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) 1) (log.f64 base))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base)) (log.f64 base))
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(/.f64 (*.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) 1) (pow.f64 (log.f64 base) 2))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (/.f64 1 (log.f64 base)) 1/2))
(*.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/4) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/4))
(.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
(*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 1/2) (sqrt.f64 (log.f64 im)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1/2))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (sqrt.f64 (log.f64 im)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 1 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base))
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(/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))))
(/.f64 (sqrt.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im)))) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (neg.f64 (sqrt.f64 (log.f64 im))) (neg.f64 (sqrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1/2)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) 1/6)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/4) 2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3/2) 1/3)
(fabs.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 1 (pow.f64 (log.f64 base) 2))
(*.f64 (pow.f64 (log.f64 base) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(.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)) 2)) (cbrt.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(.f64 (.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) -2))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) 1/3))
(.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 im))) 2) (.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) -2)))
(.f64 (sqrt.f64 (log.f64 im)) (.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))
(.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/4) (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/4) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) -2)))
(.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 im))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 im)) -1))
(.f64 (/.f64 1 (log.f64 base)) (/.f64 (.f64 (log.f64 base) (log.f64 im)) (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (log.f64 im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) 1/3) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(.f64 (.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/4)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/4))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) 1) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 im) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (.f64 (log.f64 base) (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 im))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 im))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 im))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 im)))
(.f64 (.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(.f64 (.f64 (/.f64 1 (log.f64 base)) 1) (log.f64 im))
(.f64 (.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (log.f64 im)))
(.f64 (.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) 1/2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))

Outputs
(exp.f64 (*.f64 2 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (exp.f64 2) (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 2)
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(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 im) (log.f64 base)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1/3))
(exp.f64 (.f64 3 (.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1/3)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))

eval687.0ms (7%)

Compiler: Compiled 28467 to 17310 computations (39.2% saved)

prune160.0ms (1.6%)

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	907	5	912
Fresh	5	9	14
Picked	2	3	5
Done	0	4	4
Total	914	21	935

Accuracy

100.0%

Counts

935 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.8%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	97.3%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	98.7%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
✓	98.6%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.8%	(/.f64 (log.f64 im) (log.f64 base))
	98.6%	(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (log.f64 im)) (log.f64 base)))
✓	98.6%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	98.6%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
	98.3%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
	74.4%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
	49.4%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
	98.8%	(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 im)) -1))
✓	98.8%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.3%	(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 im))
	96.8%	(log1p.f64 (-.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1))
	93.3%	(log1p.f64 (log.f64 (exp.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))))
✓	99.0%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	98.4%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	74.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.4%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))

Compiler

Compiled 903 to 456 computations (49.5% saved)

regimes130.0ms (1.3%)

Counts

62 → 1

Calls

Call 1

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

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

Calls

5 calls:

28.0ms	(log.f64 base)
28.0ms	re
28.0ms	base
27.0ms	im
17.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Results

Accuracy	Segments	Branch
99.4%	1	`re`
99.4%	1	`im`
99.4%	1	`base`
99.4%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))`
99.4%	1	`(log.f64 base)`

Compiler

Compiled 48 to 33 computations (31.3% saved)

regimes21.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))

Outputs
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))

Calls

4 calls:

6.0ms	base
5.0ms	(log.f64 base)
5.0ms	im
5.0ms	re

Results

Accuracy	Segments	Branch
98.8%	1	`re`
98.8%	1	`im`
98.8%	1	`base`
98.8%	1	`(log.f64 base)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes13.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	base
3.0ms	(log.f64 base)
2.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
98.8%	1	`re`
98.8%	1	`im`
98.8%	1	`base`
98.8%	1	`(log.f64 base)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	78
1	25	78

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 (log.f64 im) (log.f64 base))

Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 (log.f64 im) (log.f64 base))

Compiler

Compiled 28 to 21 computations (25% saved)

soundness385.0ms (3.9%)

Rules

1716×	`div-sub`
1306×	`fma-def`
1238×	`times-frac`
992×	`log1p-expm1-u`
934×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	674
1	181	652
2	289	652
3	517	404
4	1028	350
5	1930	350
6	7705	350
0	32	265
1	438	261
2	5042	261

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 210 to 62 computations (70.5% saved)

end0.0ms (0%)

preprocess52.0ms (0.5%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 346 to 232 computations (32.9% saved)

analyze194.0ms (2%)

sample1.8s (18.7%)

preprocess555.0ms (5.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize86.0ms (0.9%)

series94.0ms (1%)

rewrite352.0ms (3.6%)

simplify169.0ms (1.7%)

eval127.0ms (1.3%)

prune64.0ms (0.6%)

localize368.0ms (3.7%)

series111.0ms (1.1%)

rewrite223.0ms (2.3%)

simplify296.0ms (3%)

eval366.0ms (3.7%)

prune362.0ms (3.7%)

localize231.0ms (2.4%)

series190.0ms (1.9%)

rewrite244.0ms (2.5%)

simplify227.0ms (2.3%)

eval477.0ms (4.9%)

prune285.0ms (2.9%)

localize208.0ms (2.1%)

series271.0ms (2.8%)

rewrite225.0ms (2.3%)

simplify814.0ms (8.3%)

eval687.0ms (7%)

prune160.0ms (1.6%)

regimes130.0ms (1.3%)

regimes21.0ms (0.2%)

regimes13.0ms (0.1%)

simplify3.0ms (0%)

soundness385.0ms (3.9%)

end0.0ms (0%)

preprocess52.0ms (0.5%)

Profiling