Metrics for math.log10 on complex, real part

analyze82.0ms (1.1%)

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%	99.9%	0.1%	0%	0%	0%	4
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	5
34.4%	34.3%	65.6%	0.1%	0%	0%	0%	6
54.7%	54.6%	45.3%	0.1%	0%	0%	0%	7
64.8%	64.8%	35.1%	0.1%	0%	0%	0%	8
76.2%	76.1%	23.8%	0.1%	0%	0%	0%	9
81.8%	81.8%	18.1%	0.1%	0%	0%	0%	10
87.8%	87.7%	12.2%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-log: 16.0ms (33.8% of total)

ival-mult: 15.0ms (31.7% of total)

ival-sqrt: 7.0ms (14.8% of total)

ival-div: 5.0ms (10.6% of total)

ival-add: 4.0ms (8.5% of total)

const: 1.0ms (2.1% of total)

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

sample1.1s (15.3%)

Results

837.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 516.0ms

ival-log: 181.0ms (35% of total)

ival-mult: 138.0ms (26.7% of total)

ival-div: 70.0ms (13.6% of total)

ival-sqrt: 66.0ms (12.8% of total)

ival-add: 46.0ms (8.9% of total)

const: 12.0ms (2.3% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess31.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

184×	`fmsub-define`
160×	`fnmadd-define`
148×	`fnmsub-define`
132×	`sum3-define`
118×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	44
1	65	44
2	120	44
3	247	44
4	464	44
5	635	44
6	720	44
7	738	44
8	773	44
9	775	44
10	776	44
0	10	7
1	15	7
2	17	7
0	17	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

Outputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))

Call 2

Inputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
(/ (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) (log 10))
(/ (log (sqrt (+ (* re re) (* (neg im) (neg im))))) (log 10))
(neg (/ (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) (log 10)))
(neg (/ (log (sqrt (+ (* re re) (* (neg im) (neg im))))) (log 10)))
(/ (log (sqrt (+ (* im im) (* re re)))) (log 10))

Outputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
(/ (log (hypot re im)) (log 10))
(/ (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) (log 10))
(/ (log (hypot re im)) (log 10))
(/ (log (sqrt (+ (* re re) (* (neg im) (neg im))))) (log 10))
(/ (log (hypot re im)) (log 10))
(neg (/ (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) (log 10)))
(/ (log (hypot re im)) (neg (log 10)))
(neg (/ (log (sqrt (+ (* re re) (* (neg im) (neg im))))) (log 10)))
(/ (log (hypot re im)) (neg (log 10)))
(/ (log (sqrt (+ (* im im) (* re re)))) (log 10))
(/ (log (hypot re im)) (log 10))

Symmetry

(abs re)

(abs im)

(sort re im)

explain116.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
122	-	1	(5.09442194161399e-197 1.0835935177552712e-158)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
0	-	0	-	`#s(literal 10 binary64)`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`re`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`im`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
0	-	0	-	`(log.f64 #s(literal 10 binary64))`

Results

60.0ms

512×

valid

Compiler

Compiled 114 to 32 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-log: 12.0ms (37.5% of total)

ival-mult: 8.0ms (25% of total)

ival-div: 4.0ms (12.5% of total)

ival-sqrt: 4.0ms (12.5% of total)

ival-add: 3.0ms (9.4% of total)

const: 1.0ms (3.1% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(log.f64 #s(literal 10 binary64))
✓	cost-diff	(hypot.f64 re im)
✓	cost-diff	(log.f64 (hypot.f64 re im))
✓	cost-diff	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))

Rules

4×	`fma-lowering-fma.f32`
4×	`fma-define`
4×	`+-lowering-+.f64`
4×	`hypot-lowering-hypot.f64`
4×	`log-lowering-log.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	15	19
2	17	19
0	17	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
re
im
(log 10)
10

Outputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(log (sqrt (+ (* re re) (* im im))))
(log.f64 (hypot.f64 re im))
(sqrt (+ (* re re) (* im im)))
(hypot.f64 re im)
re
im
(log 10)
(log.f64 #s(literal 10 binary64))
10
#s(literal 10 binary64)

localize40.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(hypot.f64 re im)
✓	accuracy	100.0%	(log.f64 (hypot.f64 re im))
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))

Results

27.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

compiled-spec: 8.0ms (33.6% of total)

ival-log: 5.0ms (21% of total)

ival-mult: 4.0ms (16.8% of total)

ival-div: 2.0ms (8.4% of total)

ival-sqrt: 2.0ms (8.4% of total)

ival-add: 1.0ms (4.2% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (/ (log (sqrt (+ (* re re) (* im im)))) (log 10))>
#<alt (log (sqrt (+ (* re re) (* im im))))>
#<alt (sqrt (+ (* re re) (* im im)))>
#<alt (log 10)>

Outputs
#<alt (/ (log im) (log 10))>
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))>
#<alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))>
#<alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))>
#<alt (* -1 (/ (log (/ 1 re)) (log 10)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (log 10)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))>
#<alt (/ (log re) (log 10))>
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10)))>
#<alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10)))>
#<alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (log 10)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))>
#<alt (log im)>
#<alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (* -1 (log (/ 1 re)))>
#<alt (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (log (/ -1 re)))>
#<alt (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (log re)>
#<alt (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (log (/ -1 im)))>
#<alt (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt im>
#<alt (+ im (* 1/2 (/ (pow re 2) im)))>
#<alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))>
#<alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))>
#<alt re>
#<alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 re)>
#<alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))>
#<alt re>
#<alt (+ re (* 1/2 (/ (pow im 2) re)))>
#<alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))>
#<alt (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))>
#<alt im>
#<alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 im)>
#<alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))>

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	re	@	0	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
1.0ms	re	@	inf	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
1.0ms	im	@	0	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
1.0ms	re	@	inf	(log (sqrt (+ (* re re) (* im im))))
1.0ms	im	@	inf	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

rewrite305.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2618×	`-lowering-.f32`
2618×	`-lowering-.f64`
2306×	`fma-lowering-fma.f32`
2306×	`fma-lowering-fma.f64`
1736×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	41	16
2	273	16
3	2542	16
0	8695	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 127

Calls

Call 1

Inputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
(log 10)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))))
(neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))
(pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 #s(literal 10 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))
(.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))
(log.f64 (hypot.f64 re im))
(+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))))) (log.f64 (pow.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im)))) #s(literal -1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) (log.f64 (pow.f64 (-.f64 (.f64 re re) (*.f64 im im)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im))))) (hypot.f64 (.f64 im (.f64 im im)) (.f64 re (*.f64 re re))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im))))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))))) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im)))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (.f64 re re) (.f64 im im)))))
(-.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))))) (log.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im))))))))
(-.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im))))))) (log.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 re re) (.f64 im im))))))
(-.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 re (.f64 re (.f64 re re)))))) (log.f64 (sqrt.f64 (-.f64 (.f64 im im) (.f64 re re)))))
(-.f64 (log.f64 (neg.f64 (hypot.f64 (.f64 im (.f64 im im)) (.f64 re (.f64 re re))))) (log.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im))))))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im))))))) (log.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))))
(neg.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(neg.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im))))) (hypot.f64 (.f64 im (.f64 im im)) (.f64 re (*.f64 re re))))))
(neg.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im))))))))
(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(.f64 #s(literal 1/4 binary64) (log.f64 (.f64 (+.f64 (.f64 re re) (.f64 im im)) (+.f64 (.f64 re re) (.f64 im im)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (.f64 re re) (.f64 im im)) (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/4 binary64)) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/4 binary64))))
(hypot.f64 re im)
(hypot.f64 re (exp.f64 (log.f64 im)))
(hypot.f64 im re)
(hypot.f64 im (exp.f64 (log.f64 re)))
(hypot.f64 (exp.f64 (log.f64 re)) im)
(hypot.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 im)))
(hypot.f64 (exp.f64 (log.f64 im)) re)
(hypot.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 re)))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(sqrt.f64 (exp.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 re im)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im))))) (hypot.f64 (.f64 im (.f64 im im)) (.f64 re (*.f64 re re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))))
(/.f64 (hypot.f64 (.f64 im (.f64 im im)) (.f64 re (.f64 re re))) (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im))))) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 re (.f64 re (.f64 re re))))) (sqrt.f64 (-.f64 (.f64 im im) (.f64 re re))))
(/.f64 (neg.f64 (hypot.f64 (.f64 im (.f64 im im)) (.f64 re (.f64 re re)))) (neg.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) (neg.f64 (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im)))))
(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (.f64 re re) (.f64 im im)) (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im))))) (hypot.f64 (.f64 im (.f64 im im)) (.f64 re (*.f64 re re)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) #s(literal -1 binary64))
(.f64 (hypot.f64 re im) (pow.f64 (.f64 (-.f64 (.f64 re re) (.f64 im im)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 im im)))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 re im) (pow.f64 (/.f64 (-.f64 (.f64 re re) (.f64 im im)) (-.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (.f64 im (.f64 im im)) (.f64 re (.f64 re re))) (pow.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im)))) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im))))) (pow.f64 (.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im)))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im))))) (pow.f64 (/.f64 (+.f64 (.f64 re re) (.f64 im im)) (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im))))) (pow.f64 (-.f64 (.f64 re re) (*.f64 im im)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (.f64 re re) (*.f64 im im)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im)))) #s(literal -1/2 binary64)) (hypot.f64 (.f64 im (.f64 im im)) (.f64 re (.f64 re re))))
(.f64 (pow.f64 (-.f64 (.f64 re re) (.f64 im im)) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (*.f64 im im))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im)))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 re re) (*.f64 im im)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 re (.f64 re (.f64 re re))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (*.f64 im im))))) #s(literal 1/2 binary64)) (hypot.f64 re im))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 re re) (*.f64 im im)) (+.f64 re im)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 re im) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) (+.f64 (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)))) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) (.f64 (.f64 (-.f64 (.f64 im im) (.f64 re re)) (-.f64 (.f64 im im) (.f64 re re))) (-.f64 (.f64 im im) (.f64 re re)))))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (.f64 (.f64 re re) (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)))) (.f64 (.f64 (.f64 im im) (-.f64 (.f64 im im) (.f64 re re))) (-.f64 (.f64 (.f64 im im) (-.f64 (.f64 im im) (.f64 re re))) (.f64 re (.f64 re (*.f64 re re))))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) (-.f64 (.f64 (.f64 re re) (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (-.f64 (.f64 im im) (.f64 re re)) (-.f64 (.f64 im im) (.f64 re re)))))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 (.f64 im im) (-.f64 (.f64 im im) (.f64 re re))))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))) (-.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 (.f64 im im) (+.f64 (.f64 re re) (.f64 im im))))))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im)))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 re re) (*.f64 im im)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(log.f64 #s(literal 10 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64))
(*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))

simplify284.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

5914×	`-lowering-.f32`
5914×	`-lowering-.f64`
2228×	`+-lowering-+.f64`
2228×	`+-lowering-+.f32`
1508×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	1436
1	794	1252
2	2676	1188
0	8383	1188

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* -1 (/ (log (/ -1 re)) (log 10)))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(/ (log re) (log 10))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(* -1 (/ (log (/ -1 im)) (log 10)))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(log re)
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))
(* -1 (log (/ 1 im)))
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))

Outputs
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re re) im)) im) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) (.f64 re (.f64 re (+.f64 (/.f64 (/.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 im (.f64 im (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im (log.f64 #s(literal 10 binary64)))))))))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+.f64 (.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im (log.f64 #s(literal 10 binary64))))) (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (.f64 im (.f64 im (.f64 im im)))))))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(* -1 (/ (log (/ 1 re)) (log 10)))
(/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))) (/.f64 (/.f64 (.f64 im (.f64 im #s(literal 1/2 binary64))) (*.f64 re re)) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))) (.f64 (.f64 im im) (+.f64 (/.f64 (/.f64 (.f64 im (.f64 im #s(literal -1/4 binary64))) (.f64 re (.f64 re (.f64 re re)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 re (*.f64 (log.f64 #s(literal 10 binary64)) re))))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(+.f64 (.f64 (.f64 im im) (+.f64 (/.f64 (/.f64 (.f64 im (.f64 im #s(literal -1/4 binary64))) (.f64 re (.f64 re (.f64 re re)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 re (.f64 (log.f64 #s(literal 10 binary64)) re))))) (+.f64 (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 re #s(literal 6 binary64))))))
(* -1 (/ (log (/ -1 re)) (log 10)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(-.f64 (/.f64 (/.f64 (.f64 im (.f64 im #s(literal 1/2 binary64))) (*.f64 re re)) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(-.f64 (.f64 (.f64 im im) (+.f64 (/.f64 (/.f64 (.f64 im (.f64 im #s(literal -1/4 binary64))) (.f64 re (.f64 re (.f64 re re)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 re (*.f64 (log.f64 #s(literal 10 binary64)) re))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(+.f64 (.f64 (.f64 im im) (+.f64 (/.f64 (/.f64 (.f64 im (.f64 im #s(literal -1/4 binary64))) (.f64 re (.f64 re (.f64 re re)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 re (.f64 (log.f64 #s(literal 10 binary64)) re))))) (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64)))))
(/ (log re) (log 10))
(/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10)))
(+.f64 (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))) (/.f64 (/.f64 (.f64 im (.f64 im #s(literal 1/2 binary64))) (*.f64 re re)) (log.f64 #s(literal 10 binary64))))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10)))
(+.f64 (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))) (.f64 (.f64 im im) (+.f64 (/.f64 (/.f64 (.f64 im (.f64 im #s(literal -1/4 binary64))) (.f64 re (.f64 re (.f64 re re)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 re (*.f64 (log.f64 #s(literal 10 binary64)) re))))))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10)))
(+.f64 (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))) (.f64 (.f64 im im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re (.f64 (log.f64 #s(literal 10 binary64)) re))) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 im (/.f64 im (pow.f64 re #s(literal 6 binary64))))) (log.f64 #s(literal 10 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (.f64 re (.f64 re (*.f64 re re)))) (log.f64 #s(literal 10 binary64))))))))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re re) im)) im) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) (.f64 re (.f64 re (+.f64 (/.f64 (/.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 im (.f64 im (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im (log.f64 #s(literal 10 binary64)))))))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(+.f64 (.f64 re (.f64 re (+.f64 (/.f64 (/.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 im (.f64 im (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im (log.f64 #s(literal 10 binary64)))))))) (+.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) (/.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) (log.f64 #s(literal 10 binary64)))))
(* -1 (/ (log (/ -1 im)) (log 10)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re re) im)) im) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(-.f64 (.f64 re (.f64 re (+.f64 (/.f64 (/.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 im (.f64 im (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im (log.f64 #s(literal 10 binary64)))))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(+.f64 (.f64 re (.f64 re (+.f64 (/.f64 (/.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 im (.f64 im (.f64 im im)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im (log.f64 #s(literal 10 binary64)))))))) (-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))))
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+.f64 (log.f64 im) (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re re) im)) im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+.f64 (log.f64 im) (.f64 re (.f64 re (+.f64 (/.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (.f64 im im))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(+.f64 (log.f64 im) (.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (.f64 im (.f64 im (.f64 im im)))))))))
(* -1 (log (/ 1 re)))
(log.f64 re)
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+.f64 (log.f64 re) (/.f64 (.f64 im (.f64 im #s(literal 1/2 binary64))) (*.f64 re re)))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+.f64 (log.f64 re) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 im (.f64 im #s(literal -1/4 binary64))) (.f64 re (.f64 re (.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (.f64 re re)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(+.f64 (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 im (.f64 im #s(literal -1/4 binary64))) (.f64 re (.f64 re (.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (.f64 re re)))) (+.f64 (log.f64 re) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64)))))
(* -1 (log (/ -1 re)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(-.f64 (/.f64 (.f64 im (.f64 im #s(literal 1/2 binary64))) (*.f64 re re)) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(-.f64 (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 im (.f64 im #s(literal -1/4 binary64))) (.f64 re (.f64 re (.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (.f64 re re)))) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(+.f64 (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 im (.f64 im #s(literal -1/4 binary64))) (.f64 re (.f64 re (.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (.f64 re re)))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(log re)
(log.f64 re)
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))
(+.f64 (log.f64 re) (/.f64 (.f64 im (.f64 im #s(literal 1/2 binary64))) (*.f64 re re)))
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(+.f64 (log.f64 re) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 im (.f64 im #s(literal -1/4 binary64))) (.f64 re (.f64 re (.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (.f64 re re)))))
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))
(+.f64 (log.f64 re) (.f64 im (.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im (.f64 im (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 im (/.f64 im (pow.f64 re #s(literal 6 binary64))))) (/.f64 #s(literal -1/4 binary64) (.f64 re (.f64 re (.f64 re re)))))))))))
(* -1 (log (/ 1 im)))
(log.f64 im)
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+.f64 (log.f64 im) (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re re) im)) im))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+.f64 (log.f64 im) (.f64 re (.f64 re (+.f64 (/.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (.f64 im im))))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(+.f64 (.f64 re (.f64 re (+.f64 (/.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (.f64 im im))))) (+.f64 (log.f64 im) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64)))))
(* -1 (log (/ -1 im)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re re) im)) im) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(-.f64 (.f64 re (.f64 re (+.f64 (/.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (.f64 im im))))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(+.f64 (.f64 re (.f64 re (+.f64 (/.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (.f64 im im))))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+.f64 im (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re re) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+.f64 im (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 (.f64 re re) #s(literal -1/8 binary64)) (.f64 im (.f64 im im))) (/.f64 #s(literal 1/2 binary64) im))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(+.f64 im (.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) im) (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/16 binary64)) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 im (.f64 im im))))))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im (.f64 im #s(literal 1/2 binary64))) (.f64 re re))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 im (.f64 im #s(literal 1/2 binary64))) (.f64 re re)) (/.f64 (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/8 binary64)))) (.f64 re (.f64 re (*.f64 re re)))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/8 binary64)))) (.f64 re (.f64 re (.f64 re re)))) (+.f64 (/.f64 (.f64 im (.f64 im #s(literal 1/2 binary64))) (.f64 re re)) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 re #s(literal 6 binary64)))))))
(* -1 re)
(-.f64 #s(literal 0 binary64) re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(-.f64 (.f64 (/.f64 (.f64 re (.f64 im im)) (.f64 re re)) #s(literal -1/2 binary64)) re)
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(.f64 re (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 im (.f64 im #s(literal 1/2 binary64))) (.f64 re re)) (/.f64 (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/8 binary64)))) (.f64 re (.f64 re (.f64 re re))))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 im im) (.f64 im (.f64 im #s(literal -1/8 binary64)))) (.f64 re (.f64 re (.f64 re re)))) (+.f64 (/.f64 (.f64 im (.f64 im #s(literal 1/2 binary64))) (.f64 re re)) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 re #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) re))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+.f64 re (/.f64 (.f64 im (.f64 im #s(literal 1/2 binary64))) re))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+.f64 re (.f64 im (.f64 im (+.f64 (/.f64 (.f64 im (.f64 im #s(literal -1/8 binary64))) (.f64 re (.f64 re re))) (/.f64 #s(literal 1/2 binary64) re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
(+.f64 re (.f64 (.f64 im im) (+.f64 (/.f64 #s(literal 1/2 binary64) re) (.f64 (.f64 im im) (-.f64 (/.f64 (.f64 (.f64 im im) #s(literal 1/16 binary64)) (pow.f64 re #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 re re)) re))))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(.f64 im (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im)) im)))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(.f64 im (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re re) im)) im)) (/.f64 (.f64 re (.f64 re (.f64 (.f64 re re) #s(literal -1/8 binary64)))) (.f64 im (.f64 im (.f64 im im))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(.f64 im (+.f64 (/.f64 (.f64 re (.f64 re (.f64 (.f64 re re) #s(literal -1/8 binary64)))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re re) im)) im)) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 im #s(literal 6 binary64))))))
(* -1 im)
(-.f64 #s(literal 0 binary64) im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(-.f64 (.f64 (/.f64 (.f64 im (.f64 re re)) (.f64 im im)) #s(literal -1/2 binary64)) im)
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re re) im)) im)) (/.f64 (.f64 re (.f64 re (.f64 (.f64 re re) #s(literal -1/8 binary64)))) (.f64 im (.f64 im (.f64 im im))))) (-.f64 #s(literal 0 binary64) im))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(.f64 (+.f64 (/.f64 (.f64 re (.f64 re (.f64 (.f64 re re) #s(literal -1/8 binary64)))) (.f64 im (.f64 im (.f64 im im)))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re re) im)) im)) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 im #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) im))

eval22.0ms (0.3%)

Compiler: Compiled 4759 to 705 computations (85.2% saved)

prune30.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	191	8	199
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	191	9	200

Accuracy

99.8%

Counts

200 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.6%	(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
	53.7%	(/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
▶	99.0%	(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
▶	98.7%	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
▶	53.6%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
	53.6%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
	53.6%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))
▶	35.5%	(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))) #s(literal -1 binary64)))

Compiler

Compiled 251 to 193 computations (23.1% saved)

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
✓	cost-diff	0	(log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
✓	cost-diff	0	(.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))) #s(literal -1 binary64))
✓	cost-diff	12928	(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))) #s(literal -1 binary64)))
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
✓	cost-diff	0	(log.f64 #s(literal 1/10 binary64))
✓	cost-diff	0	(/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
✓	cost-diff	0	(+.f64 (.f64 re re) (.f64 im im))
✓	cost-diff	0	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	cost-diff	0	(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
✓	cost-diff	0	(log.f64 #s(literal 10 binary64))
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
✓	cost-diff	-64	(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	cost-diff	0	(log.f64 #s(literal 1/10 binary64))
✓	cost-diff	0	(hypot.f64 re im)
✓	cost-diff	0	(log.f64 (hypot.f64 re im))

Rules

326×	`fma-define`
312×	`sum3-define`
224×	`-lowering-.f32`
224×	`-lowering-.f64`
186×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	206
1	52	205
2	81	203
3	109	203
4	151	203
5	186	203
6	231	203
7	300	203
8	348	203
9	467	203
10	515	203
11	655	203
12	750	203
13	943	203
14	960	203
15	993	203
16	1149	203
17	1152	203
18	1153	203
19	1156	203
20	1159	203
21	1160	203
0	1160	203

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10)))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
re
im
(neg (log 1/10))
(log 1/10)
1/10
(/ (log im) (log 10))
(log im)
im
(log 10)
10
(/ (* (log (+ (* re re) (* im im))) 1/2) (log 10))
(* (log (+ (* re re) (* im im))) 1/2)
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
1/2
(log 10)
10
(/ 1 (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im))))))
1
(/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))
(log 1/10)
1/10
(* -1/2 (log (+ (* re re) (* im im))))
-1/2
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
(exp (* (log (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))) -1))
(* (log (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))) -1)
(log (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im))))))
(/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))
(log 1/10)
1/10
(* -1/2 (log (+ (* re re) (* im im))))
-1/2
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
-1

Outputs
(/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10)))
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(log (sqrt (+ (* re re) (* im im))))
(log.f64 (hypot.f64 re im))
(sqrt (+ (* re re) (* im im)))
(hypot.f64 re im)
re
im
(neg (log 1/10))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(log im)
(log.f64 im)
im
(log 10)
(log.f64 #s(literal 10 binary64))
10
#s(literal 10 binary64)
(/ (* (log (+ (* re re) (* im im))) 1/2) (log 10))
(/.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(* (log (+ (* re re) (* im im))) 1/2)
(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64))
(log (+ (* re re) (* im im)))
(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+ (* re re) (* im im))
(+.f64 (.f64 re re) (.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im
1/2
#s(literal 1/2 binary64)
(log 10)
(log.f64 #s(literal 10 binary64))
10
#s(literal 10 binary64)
(/ 1 (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im))))))
(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))
(/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
(* -1/2 (log (+ (* re re) (* im im))))
(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -2 binary64))
-1/2
#s(literal -1/2 binary64)
(log (+ (* re re) (* im im)))
(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+ (* re re) (* im im))
(+.f64 (.f64 re re) (.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im
(exp (* (log (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))) -1))
(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)))
(* (log (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))) -1)
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))))
(log (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im))))))
(log.f64 (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))
(/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
(* -1/2 (log (+ (* re re) (* im im))))
(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -2 binary64))
-1/2
#s(literal -1/2 binary64)
(log (+ (* re re) (* im im)))
(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+ (* re re) (* im im))
(+.f64 (.f64 re re) (.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im
-1
#s(literal -1 binary64)

localize205.0ms (2.8%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
✓	accuracy	98.8%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	98.8%	(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))) #s(literal -1 binary64)))
✓	accuracy	59.9%	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
✓	accuracy	99.4%	(/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
✓	accuracy	98.8%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	59.9%	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 re re) (.f64 im im))
✓	accuracy	99.3%	(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
✓	accuracy	59.9%	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	100.0%	(log.f64 im)
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.3%	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
✓	accuracy	100.0%	(neg.f64 (log.f64 #s(literal 1/10 binary64)))
✓	accuracy	100.0%	(log.f64 (hypot.f64 re im))
✓	accuracy	99.3%	(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	accuracy	98.8%	(log.f64 #s(literal 1/10 binary64))

Results

118.0ms	195×	0	valid
24.0ms	61×	0	invalid

Compiler

Compiled 251 to 29 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 22.0ms (23.8% of total)

ival-log: 19.0ms (20.5% of total)

...c/correct-round.rkt:119:19: 18.0ms (19.4% of total)

ival-exp: 9.0ms (9.7% of total)

compiled-spec: 9.0ms (9.7% of total)

ival-div: 8.0ms (8.6% of total)

ival-add: 3.0ms (3.2% of total)

ival-sqrt: 2.0ms (2.2% of total)

const: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

series146.0ms (2%)

Counts

18 → 336

Calls

Call 1

Inputs
#<alt (log (sqrt (+ (* re re) (* im im))))>
#<alt (sqrt (+ (* re re) (* im im)))>
#<alt (log 1/10)>
#<alt (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10)))>
#<alt (/ (log im) (log 10))>
#<alt (log im)>
#<alt (log 10)>
#<alt (/ (* (log (+ (* re re) (* im im))) 1/2) (log 10))>
#<alt (* (log (+ (* re re) (* im im))) 1/2)>
#<alt (log (+ (* re re) (* im im)))>
#<alt (+ (* re re) (* im im))>
#<alt (/ 1 (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im))))))>
#<alt (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))>
#<alt (* -1/2 (log (+ (* re re) (* im im))))>
#<alt (exp (* (log (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))) -1))>
#<alt (* (log (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))) -1)>
#<alt (log (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im))))))>
#<alt (neg (log 1/10))>

Outputs
#<alt (log im)>
#<alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (* -1 (log (/ 1 re)))>
#<alt (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (log (/ -1 re)))>
#<alt (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (log re)>
#<alt (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (log (/ -1 im)))>
#<alt (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt im>
#<alt (+ im (* 1/2 (/ (pow re 2) im)))>
#<alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))>
#<alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))>
#<alt re>
#<alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 re)>
#<alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))>
#<alt re>
#<alt (+ re (* 1/2 (/ (pow im 2) re)))>
#<alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))>
#<alt (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))>
#<alt im>
#<alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 im)>
#<alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))>
#<alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))>
#<alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))>
#<alt (/ (log (/ 1 re)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))>
#<alt (/ (log (/ -1 re)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))))>
#<alt (* -1 (/ (log re) (log 1/10)))>
#<alt (+ (* -1 (/ (log re) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))>
#<alt (+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))>
#<alt (+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))))>
#<alt (/ (log (/ -1 im)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (* 1/2 (/ (log (pow im 2)) (log 10)))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))))>
#<alt (* -1 (/ (log (/ 1 re)) (log 10)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (log 10)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))>
#<alt (* 1/2 (/ (log (pow re 2)) (log 10)))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (log 10))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (log 10))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (log 10)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))>
#<alt (* 1/2 (log (pow im 2)))>
#<alt (+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (* -1 (log (/ 1 re)))>
#<alt (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (log (/ -1 re)))>
#<alt (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* 1/2 (log (pow re 2)))>
#<alt (+ (* 1/2 (log (pow re 2))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* 1/2 (log (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (+ (* 1/2 (log (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (log (/ -1 im)))>
#<alt (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (log (pow im 2))>
#<alt (+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))>
#<alt (+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))>
#<alt (+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))>
#<alt (* -2 (log (/ 1 re)))>
#<alt (+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))>
#<alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))>
#<alt (* -2 (log (/ -1 re)))>
#<alt (+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))>
#<alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))>
#<alt (log (pow re 2))>
#<alt (+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))>
#<alt (+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))>
#<alt (+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))>
#<alt (* -2 (log (/ 1 im)))>
#<alt (+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))>
#<alt (* -2 (log (/ -1 im)))>
#<alt (+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))>
#<alt (pow im 2)>
#<alt (+ (pow im 2) (pow re 2))>
#<alt (+ (pow im 2) (pow re 2))>
#<alt (+ (pow im 2) (pow re 2))>
#<alt (pow re 2)>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (pow re 2)>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (pow re 2)>
#<alt (+ (pow im 2) (pow re 2))>
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#<alt (+ (* -1 (log (/ (log 1/10) (log (/ -1 re))))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re))))) (* -1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 48 (/ (* (log (/ -1 re)) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 3))))) (log 1/10)))) (pow re 4)))))>
#<alt (+ (* -1 (log (/ (log 1/10) (log (/ -1 re))))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 48 (/ (* (log (/ -1 re)) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 3))))) (log 1/10)))) (pow re 4))) (* -1/720 (/ (+ (* -720 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 3))))) (log 1/10))) (+ (* 30 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (* 1440 (/ (* (log (/ -1 re)) (+ (* -1/16 (/ (* (pow im 6) (log 1/10)) (pow (log (/ -1 re)) 3))) (+ (* 1/12 (/ (* (pow im 6) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 3))))) (log (/ -1 re))))))) (log 1/10))))) (pow re 6))))))>
#<alt (* -1 (log (* -2 (/ (log 1/10) (log (pow re 2))))))>
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#<alt (+ (* -1 (log (* -2 (/ (log 1/10) (log (pow re 2)))))) (* (pow im 2) (+ (* (pow im 2) (+ (* -1/24 (- (* -24 (/ (* (log (pow re 2)) (+ (* -1 (/ (log 1/10) (* (pow re 4) (pow (log (pow re 2)) 3)))) (* -1/2 (/ (log 1/10) (* (pow re 4) (pow (log (pow re 2)) 2)))))) (log 1/10))) (* 12 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2)))))) (* -1/720 (* (pow im 2) (- (+ (* -720 (/ (* (log (pow re 2)) (+ (* -1 (/ (+ (* -1 (/ (log 1/10) (* (pow re 4) (pow (log (pow re 2)) 3)))) (* -1/2 (/ (log 1/10) (* (pow re 4) (pow (log (pow re 2)) 2))))) (* (pow re 2) (log (pow re 2))))) (+ (* 1/3 (/ (log 1/10) (* (pow re 6) (pow (log (pow re 2)) 2)))) (* 1/2 (/ (log 1/10) (* (pow re 6) (pow (log (pow re 2)) 3))))))) (log 1/10))) (* -720 (/ (+ (* -1 (/ (log 1/10) (* (pow re 4) (pow (log (pow re 2)) 3)))) (* -1/2 (/ (log 1/10) (* (pow re 4) (pow (log (pow re 2)) 2))))) (* (pow re 2) (log 1/10))))) (* 240 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 3))))))))) (/ 1 (* (pow re 2) (log (pow re 2)))))))>
#<alt (* -1 (log (/ (log 1/10) (log (/ 1 im)))))>
#<alt (+ (* -1 (log (/ (log 1/10) (log (/ 1 im))))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ 1 im))))))>
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#<alt (* -1 (log (/ (log 1/10) (log (/ -1 im)))))>
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#<alt (+ (* -1 (log (/ (log 1/10) (log (/ -1 im))))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 48 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log 1/10)))) (pow im 4))) (* -1/720 (/ (+ (* -720 (/ (* (pow re 2) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log 1/10))) (+ (* 30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1440 (/ (* (log (/ -1 im)) (+ (* -1/16 (/ (* (pow re 6) (log 1/10)) (pow (log (/ -1 im)) 3))) (+ (* 1/12 (/ (* (pow re 6) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im))))))) (log 1/10))))) (pow im 6))))))>
#<alt (log (* -2 (/ (log 1/10) (log (pow im 2)))))>
#<alt (+ (log (* -2 (/ (log 1/10) (log (pow im 2))))) (* -1 (/ (pow re 2) (* (pow im 2) (log (pow im 2))))))>
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#<alt (+ (log (* -2 (/ (log 1/10) (log (pow im 2))))) (* (pow re 2) (- (* (pow re 2) (+ (* 1/720 (* (pow re 2) (- (+ (* -720 (/ (* (log (pow im 2)) (+ (* -1 (/ (+ (* -1 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 3)))) (* -1/2 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 2))))) (* (pow im 2) (log (pow im 2))))) (+ (* 1/3 (/ (log 1/10) (* (pow im 6) (pow (log (pow im 2)) 2)))) (* 1/2 (/ (log 1/10) (* (pow im 6) (pow (log (pow im 2)) 3))))))) (log 1/10))) (* -720 (/ (+ (* -1 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 3)))) (* -1/2 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 2))))) (* (pow im 2) (log 1/10))))) (* 240 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 3))))))) (* 1/24 (- (* -24 (/ (* (log (pow im 2)) (+ (* -1 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 3)))) (* -1/2 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 2)))))) (log 1/10))) (* 12 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2)))))))) (/ 1 (* (pow im 2) (log (pow im 2)))))))>
#<alt (log (/ (log 1/10) (log (/ 1 re))))>
#<alt (+ (log (/ (log 1/10) (log (/ 1 re)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re))))))>
#<alt (+ (log (/ (log 1/10) (log (/ 1 re)))) (+ (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 48 (/ (* (log (/ 1 re)) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3))))) (log 1/10)))) (pow re 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re)))))))>
#<alt (+ (log (/ (log 1/10) (log (/ 1 re)))) (+ (* 1/720 (/ (+ (* -720 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3))))) (log 1/10))) (+ (* 30 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (* 1440 (/ (* (log (/ 1 re)) (+ (* -1/16 (/ (* (pow im 6) (log 1/10)) (pow (log (/ 1 re)) 3))) (+ (* 1/12 (/ (* (pow im 6) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3))))) (log (/ 1 re))))))) (log 1/10))))) (pow re 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 48 (/ (* (log (/ 1 re)) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3))))) (log 1/10)))) (pow re 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re))))))))>
#<alt (log (/ (log 1/10) (log (/ -1 re))))>
#<alt (+ (log (/ (log 1/10) (log (/ -1 re)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re))))))>
#<alt (+ (log (/ (log 1/10) (log (/ -1 re)))) (+ (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 48 (/ (* (log (/ -1 re)) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 3))))) (log 1/10)))) (pow re 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re)))))))>
#<alt (+ (log (/ (log 1/10) (log (/ -1 re)))) (+ (* 1/720 (/ (+ (* -720 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 3))))) (log 1/10))) (+ (* 30 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (* 1440 (/ (* (log (/ -1 re)) (+ (* -1/16 (/ (* (pow im 6) (log 1/10)) (pow (log (/ -1 re)) 3))) (+ (* 1/12 (/ (* (pow im 6) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 3))))) (log (/ -1 re))))))) (log 1/10))))) (pow re 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 48 (/ (* (log (/ -1 re)) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ -1 re)) 3))))) (log 1/10)))) (pow re 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re))))))))>
#<alt (log (* -2 (/ (log 1/10) (log (pow re 2)))))>
#<alt (+ (log (* -2 (/ (log 1/10) (log (pow re 2))))) (* -1 (/ (pow im 2) (* (pow re 2) (log (pow re 2))))))>
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#<alt (+ (log (* -2 (/ (log 1/10) (log (pow re 2))))) (* (pow im 2) (- (* (pow im 2) (+ (* 1/720 (* (pow im 2) (- (+ (* -720 (/ (* (log (pow re 2)) (+ (* -1 (/ (+ (* -1 (/ (log 1/10) (* (pow re 4) (pow (log (pow re 2)) 3)))) (* -1/2 (/ (log 1/10) (* (pow re 4) (pow (log (pow re 2)) 2))))) (* (pow re 2) (log (pow re 2))))) (+ (* 1/3 (/ (log 1/10) (* (pow re 6) (pow (log (pow re 2)) 2)))) (* 1/2 (/ (log 1/10) (* (pow re 6) (pow (log (pow re 2)) 3))))))) (log 1/10))) (* -720 (/ (+ (* -1 (/ (log 1/10) (* (pow re 4) (pow (log (pow re 2)) 3)))) (* -1/2 (/ (log 1/10) (* (pow re 4) (pow (log (pow re 2)) 2))))) (* (pow re 2) (log 1/10))))) (* 240 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 3))))))) (* 1/24 (- (* -24 (/ (* (log (pow re 2)) (+ (* -1 (/ (log 1/10) (* (pow re 4) (pow (log (pow re 2)) 3)))) (* -1/2 (/ (log 1/10) (* (pow re 4) (pow (log (pow re 2)) 2)))))) (log 1/10))) (* 12 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2)))))))) (/ 1 (* (pow re 2) (log (pow re 2)))))))>
#<alt (log (/ (log 1/10) (log (/ 1 im))))>
#<alt (+ (log (/ (log 1/10) (log (/ 1 im)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ 1 im))))))>
#<alt (+ (log (/ (log 1/10) (log (/ 1 im)))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 48 (/ (* (log (/ 1 im)) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ 1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ 1 im)) 3))))) (log 1/10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ 1 im)))))))>
#<alt (+ (log (/ (log 1/10) (log (/ 1 im)))) (+ (* 1/720 (/ (+ (* -720 (/ (* (pow re 2) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ 1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ 1 im)) 3))))) (log 1/10))) (+ (* 30 (/ (pow re 6) (pow (log (/ 1 im)) 3))) (* 1440 (/ (* (log (/ 1 im)) (+ (* -1/16 (/ (* (pow re 6) (log 1/10)) (pow (log (/ 1 im)) 3))) (+ (* 1/12 (/ (* (pow re 6) (log 1/10)) (pow (log (/ 1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ 1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ 1 im)) 3))))) (log (/ 1 im))))))) (log 1/10))))) (pow im 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 48 (/ (* (log (/ 1 im)) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ 1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ 1 im)) 3))))) (log 1/10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ 1 im))))))))>
#<alt (log (/ (log 1/10) (log (/ -1 im))))>
#<alt (+ (log (/ (log 1/10) (log (/ -1 im)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))>
#<alt (+ (log (/ (log 1/10) (log (/ -1 im)))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 48 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log 1/10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im)))))))>
#<alt (+ (log (/ (log 1/10) (log (/ -1 im)))) (+ (* 1/720 (/ (+ (* -720 (/ (* (pow re 2) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log 1/10))) (+ (* 30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1440 (/ (* (log (/ -1 im)) (+ (* -1/16 (/ (* (pow re 6) (log 1/10)) (pow (log (/ -1 im)) 3))) (+ (* 1/12 (/ (* (pow re 6) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im))))))) (log 1/10))))) (pow im 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 48 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log 1/10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))))>

Calls

84 calls:

Time	Variable		Point	Expression
47.0ms	im	@	0	(/ (log im) (log 10))
19.0ms	im	@	0	(* (log (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))) -1)
14.0ms	re	@	0	(* (log (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))) -1)
13.0ms	im	@	-inf	(/ (log im) (log 10))
9.0ms	im	@	inf	(/ (log im) (log 10))

rewrite398.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2172×	`-lowering-.f32`
2172×	`-lowering-.f64`
1564×	`/-lowering-/.f32`
1564×	`/-lowering-/.f64`
1478×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	108
1	103	92
2	571	91
3	4330	91
0	8240	91

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1038

Calls

Call 1

Inputs
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
(log 1/10)
(/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10)))
(/ (log im) (log 10))
(log im)
(log 10)
(/ (* (log (+ (* re re) (* im im))) 1/2) (log 10))
(* (log (+ (* re re) (* im im))) 1/2)
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(/ 1 (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im))))))
(/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))
(* -1/2 (log (+ (* re re) (* im im))))
(exp (* (log (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))) -1))
(* (log (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))) -1)
(log (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im))))))
(neg (log 1/10))

Outputs
(log.f64 (hypot.f64 re im))
(+.f64 #s(literal 0 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) #s(literal 1/4 binary64))))
(+.f64 (log.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im)))) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im))))) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im)))) (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im))))))))
(+.f64 (log.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im)))) (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im))))))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 im im))))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))))
(-.f64 #s(literal 0 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal -1/2 binary64)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64))) (log.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (log.f64 (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))) (log.f64 (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (log.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))) (log.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))))) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (log.f64 #s(literal 10 binary64)))) (+.f64 (.f64 (log.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64))) (log.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64)))) (.f64 (log.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))) (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (log.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))) (log.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))))) (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (log.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))) (log.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))))) (log.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))))
(/.f64 (-.f64 (.f64 (log.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (log.f64 #s(literal 10 binary64)))) (.f64 (log.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64))) (log.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64))))) (log.f64 (.f64 (log.f64 #s(literal 10 binary64)) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))) (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)))) (.f64 (log.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (log.f64 (.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(.f64 #s(literal -1 binary64) (log.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))))
(.f64 (-.f64 (pow.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64))) (log.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64))))))))
(.f64 (-.f64 (pow.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -1/2 binary64))))))
(log.f64 #s(literal 10 binary64))
(+.f64 (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))

simplify492.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

6400×	`-lowering-.f32`
6400×	`-lowering-.f64`
5512×	`+-lowering-+.f64`
5512×	`+-lowering-+.f32`
1424×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	958	10224
1	3178	9206
0	8555	9206

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

Inputs
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(log re)
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))
(* -1 (log (/ 1 im)))
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(/ (log (/ -1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))))
(* -1 (/ (log re) (log 1/10)))
(+ (* -1 (/ (log re) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))
(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))
(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))
(/ (log (/ 1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))))
(/ (log (/ -1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))
(/ (log im) (log 10))
(/ (log im) (log 10))
(/ (log im) (log 10))
(/ (log im) (log 10))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(* 1/2 (/ (log (pow im 2)) (log 10)))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))))
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
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(log (/ (log 1/10) (log (/ -1 im))))
(+ (log (/ (log 1/10) (log (/ -1 im)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))
(+ (log (/ (log 1/10) (log (/ -1 im)))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 48 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log 1/10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im)))))))
(+ (log (/ (log 1/10) (log (/ -1 im)))) (+ (* 1/720 (/ (+ (* -720 (/ (* (pow re 2) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log 1/10))) (+ (* 30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1440 (/ (* (log (/ -1 im)) (+ (* -1/16 (/ (* (pow re 6) (log 1/10)) (pow (log (/ -1 im)) 3))) (+ (* 1/12 (/ (* (pow re 6) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im))))))) (log 1/10))))) (pow im 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 48 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log 1/10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))))

Outputs
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 im im)) (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+.f64 (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))) (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(+.f64 (.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (*.f64 re re)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))))))) (log.f64 im))
(* -1 (log (/ 1 re)))
(log.f64 re)
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+.f64 (log.f64 re) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (*.f64 re re)))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re re)) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) (log.f64 re)))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re re)) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) (log.f64 re))) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 re #s(literal 6 binary64))))
(* -1 (log (/ -1 re)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (*.f64 re re)) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re re)) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re re)) (log.f64 (/.f64 #s(literal -1 binary64) re)))) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 re #s(literal 6 binary64))))
(log re)
(log.f64 re)
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))
(+.f64 (log.f64 re) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (*.f64 re re)))
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(+.f64 (log.f64 re) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 im im)) (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 re re)))))
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))
(+.f64 (log.f64 re) (.f64 (.f64 im im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (*.f64 im im)) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))))))))
(* -1 (log (/ 1 im)))
(log.f64 im)
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 im im)) (log.f64 im))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (log.f64 im)))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(+.f64 (log.f64 im) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)) (+.f64 (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))))))
(* -1 (log (/ -1 im)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 im im)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64)))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+.f64 im (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) im))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+.f64 im (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 re re)) (.f64 im (.f64 im im))) (/.f64 #s(literal 1/2 binary64) im))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(+.f64 im (.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) im) (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 re re)) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 im (.f64 im im))))))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re re))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(.f64 re (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re re)) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) #s(literal 1 binary64))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re re)) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64)))))))
(* -1 re)
(-.f64 #s(literal 0 binary64) re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re re))) (-.f64 #s(literal 0 binary64) re))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re re)) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) re))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re re)) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) re))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+.f64 re (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+.f64 re (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 im im)) (.f64 re (.f64 re re))) (/.f64 #s(literal 1/2 binary64) re))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
(+.f64 re (.f64 (.f64 im im) (+.f64 (/.f64 #s(literal 1/2 binary64) re) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 im im)) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 re (.f64 re re))))))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(.f64 im (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)) #s(literal 1 binary64)))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(.f64 im (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(.f64 im (+.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64)))))
(* -1 im)
(-.f64 #s(literal 0 binary64) im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) im))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) im))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(.f64 (+.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) im))
(* -1 (/ (log im) (log 1/10)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) (.f64 (.f64 im im) (log.f64 #s(literal 1/10 binary64)))) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(-.f64 (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64)))))) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(-.f64 (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 re re)) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 1/10 binary64)))))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (log.f64 #s(literal 1/10 binary64)))))) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 re)) (log 1/10))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 #s(literal 1/10 binary64)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (.f64 im im) (*.f64 re re))) (/.f64 (log.f64 re) (log.f64 #s(literal 1/10 binary64))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (.f64 im im) (.f64 re re))) (/.f64 (log.f64 re) (log.f64 #s(literal 1/10 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 1/10 binary64)))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 #s(literal 1/10 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 1/10 binary64))))) (-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (.f64 im im) (.f64 re re))) (/.f64 (log.f64 re) (log.f64 #s(literal 1/10 binary64)))))
(/ (log (/ -1 re)) (log 1/10))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 1/10 binary64)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))
(+.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (.f64 im im) (*.f64 re re))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 1/10 binary64))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))))
(+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 1/10 binary64)))) (+.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (.f64 im im) (*.f64 re re))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 1/10 binary64)))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))))
(+.f64 (+.f64 (+.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (.f64 im im) (.f64 re re))) (/.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 #s(literal 1/10 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 1/10 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 1/10 binary64)))))
(* -1 (/ (log re) (log 1/10)))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 #s(literal 1/10 binary64)))
(+ (* -1 (/ (log re) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))
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(+.f64 (+.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 re re) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (/.f64 (.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal 48 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (log.f64 #s(literal 1/10 binary64))))) (pow.f64 im #s(literal 4 binary64))))
(+ (log (/ (log 1/10) (log (/ -1 im)))) (+ (* 1/720 (/ (+ (* -720 (/ (* (pow re 2) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log 1/10))) (+ (* 30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1440 (/ (* (log (/ -1 im)) (+ (* -1/16 (/ (* (pow re 6) (log 1/10)) (pow (log (/ -1 im)) 3))) (+ (* 1/12 (/ (* (pow re 6) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im))))))) (log 1/10))))) (pow im 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 48 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log 1/10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))))
(+.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (+.f64 (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 re re) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (/.f64 (.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal 48 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (log.f64 #s(literal 1/10 binary64))))) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1440 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 6 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))))) (log.f64 #s(literal 1/10 binary64))) (+.f64 (/.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 #s(literal -720 binary64) (.f64 re re)) (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (log.f64 #s(literal 1/10 binary64)))))) (pow.f64 im #s(literal 6 binary64)))))

eval332.0ms (4.5%)

Compiler: Compiled 61037 to 5049 computations (91.7% saved)

prune276.0ms (3.7%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1949	10	1959
Fresh	3	0	3
Picked	3	2	5
Done	0	1	1
Total	1955	13	1968

Accuracy

100.0%

Counts

1968 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 1/10 binary64))) #s(literal -2 binary64))
▶	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
▶	53.6%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
✓	99.0%	(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
	96.0%	(/.f64 (log.f64 im) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
▶	98.7%	(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.7%	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
▶	98.6%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
▶	99.1%	(*.f64 (/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
	98.3%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 im))
	74.7%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) #s(literal -1 binary64)))

Compiler

Compiled 268 to 225 computations (16% saved)

simplify142.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
✓	cost-diff	0	(log.f64 #s(literal 1/10 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 im))
✓	cost-diff	0	(log.f64 #s(literal 10 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(log.f64 #s(literal 1/10 binary64))
✓	cost-diff	0	(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
✓	cost-diff	-64	(neg.f64 (log.f64 #s(literal 1/10 binary64)))
✓	cost-diff	-64	(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	cost-diff	0	(log.f64 #s(literal 1/10 binary64))
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
✓	cost-diff	19456	(*.f64 (/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))

Rules

2254×	`sum3-define`
1970×	`-lowering-.f32`
1970×	`-lowering-.f64`
1666×	`fma-define`
1064×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	155
1	63	150
2	121	148
3	287	130
4	908	130
5	2329	130
6	5159	130
0	8852	130

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (log im) (- 0 (pow (log 1/10) 3))) (pow (log 1/10) 2))
(/ (log im) (- 0 (pow (log 1/10) 3)))
(log im)
im
(- 0 (pow (log 1/10) 3))
0
(pow (log 1/10) 3)
(log 1/10)
1/10
3
(pow (log 1/10) 2)
2
(/ (log im) (neg (log 1/10)))
(log im)
im
(neg (log 1/10))
(log 1/10)
1/10
(/ -1 (/ (log 1/10) (log im)))
-1
(/ (log 1/10) (log im))
(log 1/10)
1/10
(log im)
im
(/ (/ 1 (log 10)) (/ 1 (log im)))
(/ 1 (log 10))
1
(log 10)
10
(/ 1 (log im))
(log im)
im
(/ (/ 1 (log 1/10)) (/ -2 (log (+ (* re re) (* im im)))))
(/ 1 (log 1/10))
1
(log 1/10)
1/10
(/ -2 (log (+ (* re re) (* im im))))
-2
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im

Outputs
(* (/ (log im) (- 0 (pow (log 1/10) 3))) (pow (log 1/10) 2))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log im) (- 0 (pow (log 1/10) 3)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(log im)
(log.f64 im)
im
(- 0 (pow (log 1/10) 3))
(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))
0
#s(literal 0 binary64)
(pow (log 1/10) 3)
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
3
#s(literal 3 binary64)
(pow (log 1/10) 2)
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (log im) (neg (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(log im)
(log.f64 im)
im
(neg (log 1/10))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
(/ -1 (/ (log 1/10) (log im)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
-1
#s(literal -1 binary64)
(/ (log 1/10) (log im))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
(log im)
(log.f64 im)
im
(/ (/ 1 (log 10)) (/ 1 (log im)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ 1 (log 10))
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
1
#s(literal 1 binary64)
(log 10)
(log.f64 #s(literal 10 binary64))
10
#s(literal 10 binary64)
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(log im)
(log.f64 im)
im
(/ (/ 1 (log 1/10)) (/ -2 (log (+ (* re re) (* im im)))))
(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)))
(/ 1 (log 1/10))
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)))
1
#s(literal 1 binary64)
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
(/ -2 (log (+ (* re re) (* im im))))
(/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
-2
#s(literal -2 binary64)
(log (+ (* re re) (* im im)))
(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+ (* re re) (* im im))
(+.f64 (.f64 re re) (.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im

localize153.0ms (2.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	54.1%	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (log.f64 im))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
✓	accuracy	100.0%	(log.f64 im)
✓	accuracy	99.6%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
✓	accuracy	99.2%	(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	100.0%	(neg.f64 (log.f64 #s(literal 1/10 binary64)))
✓	accuracy	100.0%	(log.f64 im)
✓	accuracy	99.1%	(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	99.3%	(*.f64 (/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
✓	accuracy	98.4%	(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	97.5%	(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))

Results

106.0ms

256×

valid

Compiler

Compiled 164 to 33 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 21.0ms (35% of total)

ival-log: 13.0ms (21.7% of total)

ival-pow: 11.0ms (18.3% of total)

ival-mult: 5.0ms (8.3% of total)

...c/correct-round.rkt:119:19: 4.0ms (6.7% of total)

ival-add: 1.0ms (1.7% of total)

ival-sub: 1.0ms (1.7% of total)

const: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

series68.0ms (0.9%)

Counts

19 → 168

Calls

Call 1

Inputs
#<alt (* (/ (log im) (- 0 (pow (log 1/10) 3))) (pow (log 1/10) 2))>
#<alt (/ (log im) (- 0 (pow (log 1/10) 3)))>
#<alt (log im)>
#<alt (- 0 (pow (log 1/10) 3))>
#<alt (log 1/10)>
#<alt (/ (log im) (neg (log 1/10)))>
#<alt (neg (log 1/10))>
#<alt (/ -1 (/ (log 1/10) (log im)))>
#<alt (/ (log 1/10) (log im))>
#<alt (/ (/ 1 (log 10)) (/ 1 (log im)))>
#<alt (/ 1 (log 10))>
#<alt (log 10)>
#<alt (/ 1 (log im))>
#<alt (/ (/ 1 (log 1/10)) (/ -2 (log (+ (* re re) (* im im)))))>
#<alt (/ 1 (log 1/10))>
#<alt (/ -2 (log (+ (* re re) (* im im))))>
#<alt (pow (log 1/10) 3)>
#<alt (pow (log 1/10) 2)>
#<alt (log (+ (* re re) (* im im)))>

Outputs
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (log im) (pow (log 1/10) 3)))>
#<alt (* -1 (/ (log im) (pow (log 1/10) 3)))>
#<alt (* -1 (/ (log im) (pow (log 1/10) 3)))>
#<alt (* -1 (/ (log im) (pow (log 1/10) 3)))>
#<alt (/ (log (/ 1 im)) (pow (log 1/10) 3))>
#<alt (/ (log (/ 1 im)) (pow (log 1/10) 3))>
#<alt (/ (log (/ 1 im)) (pow (log 1/10) 3))>
#<alt (/ (log (/ 1 im)) (pow (log 1/10) 3))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (/ (log 1/10) (log im))>
#<alt (/ (log 1/10) (log im))>
#<alt (/ (log 1/10) (log im))>
#<alt (/ (log 1/10) (log im))>
#<alt (* -1 (/ (log 1/10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 1/10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 1/10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 1/10) (log (/ 1 im))))>
#<alt (/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (* -1/2 (/ (log (pow im 2)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))>
#<alt (+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))>
#<alt (+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))>
#<alt (/ (log (/ 1 re)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))>
#<alt (/ (log (/ -1 re)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))))>
#<alt (* -1/2 (/ (log (pow re 2)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))>
#<alt (+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))>
#<alt (+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))))>
#<alt (/ (log (/ -1 im)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))>
#<alt (/ -2 (log (pow im 2)))>
#<alt (- (* 2 (/ (pow re 2) (* (pow im 2) (pow (log (pow im 2)) 2)))) (* 2 (/ 1 (log (pow im 2)))))>
#<alt (- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 2 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 3)))) (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (* (pow im 2) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (log (pow im 2)))))>
#<alt (- (* (pow re 2) (+ (* (pow re 2) (- (* (pow re 2) (- (+ (* 2/3 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 2)))) (/ 1 (* (pow im 6) (pow (log (pow im 2)) 3)))) (* -1 (/ (+ (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2))) (* 2 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 3))))) (* (pow im 2) (log (pow im 2))))))) (+ (* 2 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 3)))) (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (* (pow im 2) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (log (pow im 2)))))>
#<alt (/ 1 (log (/ 1 re)))>
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))>
#<alt (- (+ (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2)))) (pow re 4))) (/ 1 (log (/ 1 re)))) (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* -1/6 (/ (pow im 6) (pow (log (/ 1 re)) 2))) (+ (* 1/8 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))))) (log (/ 1 re)))))) (pow re 6))) (/ 1 (log (/ 1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))))))>
#<alt (/ 1 (log (/ -1 re)))>
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re))))>
#<alt (- (+ (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2)))) (pow re 4))) (/ 1 (log (/ -1 re)))) (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* -1/6 (/ (pow im 6) (pow (log (/ -1 re)) 2))) (+ (* 1/8 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2))))) (log (/ -1 re)))))) (pow re 6))) (/ 1 (log (/ -1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 3)))) (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 2)))))))>
#<alt (/ -2 (log (pow re 2)))>
#<alt (- (* 2 (/ (pow im 2) (* (pow re 2) (pow (log (pow re 2)) 2)))) (* 2 (/ 1 (log (pow re 2)))))>
#<alt (- (* (pow im 2) (+ (* -1 (* (pow im 2) (+ (* 2 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 3)))) (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (* (pow re 2) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (log (pow re 2)))))>
#<alt (- (* (pow im 2) (+ (* (pow im 2) (- (* (pow im 2) (- (+ (* 2/3 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 2)))) (/ 1 (* (pow re 6) (pow (log (pow re 2)) 3)))) (* -1 (/ (+ (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2))) (* 2 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 3))))) (* (pow re 2) (log (pow re 2))))))) (+ (* 2 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 3)))) (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (* (pow re 2) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (log (pow re 2)))))>
#<alt (/ 1 (log (/ 1 im)))>
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im))))>
#<alt (- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2)))) (pow im 4))) (/ 1 (log (/ 1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* -1/6 (/ (pow re 6) (pow (log (/ 1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ 1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2))))) (log (/ 1 im)))))) (pow im 6))) (/ 1 (log (/ 1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 2)))))))>
#<alt (/ 1 (log (/ -1 im)))>
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))>
#<alt (- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2)))) (pow im 4))) (/ 1 (log (/ -1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* -1/6 (/ (pow re 6) (pow (log (/ -1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))))) (log (/ -1 im)))))) (pow im 6))) (/ 1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))))))>
#<alt (log (pow im 2))>
#<alt (+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))>
#<alt (+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))>
#<alt (+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))>
#<alt (* -2 (log (/ 1 re)))>
#<alt (+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))>
#<alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))>
#<alt (* -2 (log (/ -1 re)))>
#<alt (+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))>
#<alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))>
#<alt (log (pow re 2))>
#<alt (+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))>
#<alt (+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))>
#<alt (+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))>
#<alt (* -2 (log (/ 1 im)))>
#<alt (+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))>
#<alt (* -2 (log (/ -1 im)))>
#<alt (+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))>

Calls

42 calls:

Time	Variable		Point	Expression
34.0ms	im	@	-inf	(/ (log 1/10) (log im))
17.0ms	im	@	0	(* (/ (log im) (- 0 (pow (log 1/10) 3))) (pow (log 1/10) 2))
1.0ms	im	@	0	(/ (log im) (- 0 (pow (log 1/10) 3)))
1.0ms	re	@	inf	(/ -2 (log (+ (* re re) (* im im))))
1.0ms	im	@	inf	(/ -2 (log (+ (* re re) (* im im))))

rewrite252.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3528×	`-lowering-.f32`
3528×	`-lowering-.f64`
2312×	`/-lowering-/.f32`
2312×	`/-lowering-/.f64`
1330×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	122
1	162	116
2	977	85
0	9267	85

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1413

Calls

Call 1

Inputs
(* (/ (log im) (- 0 (pow (log 1/10) 3))) (pow (log 1/10) 2))
(/ (log im) (- 0 (pow (log 1/10) 3)))
(log im)
(- 0 (pow (log 1/10) 3))
(log 1/10)
(/ (log im) (neg (log 1/10)))
(neg (log 1/10))
(/ -1 (/ (log 1/10) (log im)))
(/ (log 1/10) (log im))
(/ (/ 1 (log 10)) (/ 1 (log im)))
(/ 1 (log 10))
(log 10)
(/ 1 (log im))
(/ (/ 1 (log 1/10)) (/ -2 (log (+ (* re re) (* im im)))))
(/ 1 (log 1/10))
(/ -2 (log (+ (* re re) (* im im))))
(pow (log 1/10) 3)
(pow (log 1/10) 2)
(log (+ (* re re) (* im im)))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(+.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))) (.f64 (/.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))) (.f64 (/.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))) #s(literal 0 binary64)))
(+.f64 (.f64 (/.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64))) #s(literal 0 binary64)) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(+.f64 (.f64 (/.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))) #s(literal 0 binary64)) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64)))) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)) (/.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64)))))
(+.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)) (/.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64)))) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64)))))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (/.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))))
(+.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (/.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64)) (.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
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(/.f64 (-.f64 (.f64 (log.f64 (+.f64 (.f64 re (.f64 re (.f64 (.f64 re re) (.f64 re re)))) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (log.f64 (+.f64 (.f64 re (.f64 re (.f64 (.f64 re re) (.f64 re re)))) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im)))))) (.f64 (log.f64 (+.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (-.f64 (.f64 im im) (.f64 re re))))) (log.f64 (+.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (-.f64 (.f64 im im) (.f64 re re))))))) (+.f64 (log.f64 (+.f64 (.f64 re (.f64 re (.f64 (.f64 re re) (.f64 re re)))) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (log.f64 (+.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (-.f64 (.f64 im im) (*.f64 re re)))))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im)))) (log.f64 (-.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))))) (.f64 (log.f64 (-.f64 (.f64 re re) (.f64 im im))) (log.f64 (-.f64 (.f64 re re) (.f64 im im))))) (+.f64 (log.f64 (-.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im)))) (log.f64 (-.f64 (.f64 re re) (.f64 im im)))))
(.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 #s(literal 1 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1 binary64))

simplify312.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

5426×	`-lowering-.f32`
5426×	`-lowering-.f64`
2752×	`/-lowering-/.f32`
2752×	`/-lowering-/.f64`
1818×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	2858
1	1325	2584
2	4486	2510
0	8306	2510

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (log im) (pow (log 1/10) 3)))
(* -1 (/ (log im) (pow (log 1/10) 3)))
(* -1 (/ (log im) (pow (log 1/10) 3)))
(* -1 (/ (log im) (pow (log 1/10) 3)))
(/ (log (/ 1 im)) (pow (log 1/10) 3))
(/ (log (/ 1 im)) (pow (log 1/10) 3))
(/ (log (/ 1 im)) (pow (log 1/10) 3))
(/ (log (/ 1 im)) (pow (log 1/10) 3))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/ (log 1/10) (log im))
(/ (log 1/10) (log im))
(/ (log 1/10) (log im))
(/ (log 1/10) (log im))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log im) (log 10))
(/ (log im) (log 10))
(/ (log im) (log 10))
(/ (log im) (log 10))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(* -1/2 (/ (log (pow im 2)) (log 1/10)))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(/ (log (/ -1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))))
(* -1/2 (/ (log (pow re 2)) (log 1/10)))
(+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))
(+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))
(+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))
(/ (log (/ 1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))))
(/ (log (/ -1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))
(/ -2 (log (pow im 2)))
(- (* 2 (/ (pow re 2) (* (pow im 2) (pow (log (pow im 2)) 2)))) (* 2 (/ 1 (log (pow im 2)))))
(- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 2 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 3)))) (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (* (pow im 2) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (log (pow im 2)))))
(- (* (pow re 2) (+ (* (pow re 2) (- (* (pow re 2) (- (+ (* 2/3 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 2)))) (/ 1 (* (pow im 6) (pow (log (pow im 2)) 3)))) (* -1 (/ (+ (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2))) (* 2 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 3))))) (* (pow im 2) (log (pow im 2))))))) (+ (* 2 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 3)))) (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (* (pow im 2) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (log (pow im 2)))))
(/ 1 (log (/ 1 re)))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2)))) (pow re 4))) (/ 1 (log (/ 1 re)))) (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))))
(- (+ (* -1 (/ (+ (* -1/6 (/ (pow im 6) (pow (log (/ 1 re)) 2))) (+ (* 1/8 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))))) (log (/ 1 re)))))) (pow re 6))) (/ 1 (log (/ 1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))))))
(/ 1 (log (/ -1 re)))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2)))) (pow re 4))) (/ 1 (log (/ -1 re)))) (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))))
(- (+ (* -1 (/ (+ (* -1/6 (/ (pow im 6) (pow (log (/ -1 re)) 2))) (+ (* 1/8 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2))))) (log (/ -1 re)))))) (pow re 6))) (/ 1 (log (/ -1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 3)))) (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 2)))))))
(/ -2 (log (pow re 2)))
(- (* 2 (/ (pow im 2) (* (pow re 2) (pow (log (pow re 2)) 2)))) (* 2 (/ 1 (log (pow re 2)))))
(- (* (pow im 2) (+ (* -1 (* (pow im 2) (+ (* 2 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 3)))) (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (* (pow re 2) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (log (pow re 2)))))
(- (* (pow im 2) (+ (* (pow im 2) (- (* (pow im 2) (- (+ (* 2/3 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 2)))) (/ 1 (* (pow re 6) (pow (log (pow re 2)) 3)))) (* -1 (/ (+ (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2))) (* 2 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 3))))) (* (pow re 2) (log (pow re 2))))))) (+ (* 2 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 3)))) (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (* (pow re 2) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (log (pow re 2)))))
(/ 1 (log (/ 1 im)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2)))) (pow im 4))) (/ 1 (log (/ 1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))))
(- (+ (* -1 (/ (+ (* -1/6 (/ (pow re 6) (pow (log (/ 1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ 1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2))))) (log (/ 1 im)))))) (pow im 6))) (/ 1 (log (/ 1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 2)))))))
(/ 1 (log (/ -1 im)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2)))) (pow im 4))) (/ 1 (log (/ -1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (+ (* -1/6 (/ (pow re 6) (pow (log (/ -1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))))) (log (/ -1 im)))))) (pow im 6))) (/ 1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))))))
(log (pow im 2))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(* -2 (log (/ 1 re)))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(* -2 (log (/ -1 re)))
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(log (pow re 2))
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(* -2 (log (/ 1 im)))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(* -2 (log (/ -1 im)))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))

Outputs
(* -1 (/ (log im) (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
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(- (+ (* -1 (/ (+ (* -1/6 (/ (pow re 6) (pow (log (/ 1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ 1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2))))) (log (/ 1 im)))))) (pow im 6))) (/ 1 (log (/ 1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 2)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 im))) (+.f64 (.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) (/.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) (.f64 im im)))))) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 re re) (+.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal -1/4 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal 2 binary64))))) (log.f64 im))) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal 3 binary64))))) (pow.f64 im #s(literal 6 binary64))))
(/ 1 (log (/ -1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))
(+.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (*.f64 im im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2)))) (pow im 4))) (/ 1 (log (/ -1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 im im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal -1/4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (.f64 (.f64 im im) (.f64 im im))))
(- (+ (* -1 (/ (+ (* -1/6 (/ (pow re 6) (pow (log (/ -1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))))) (log (/ -1 im)))))) (pow im 6))) (/ 1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 im im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im)))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (.f64 im im))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))))) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (+.f64 (/.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal -1/4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (pow.f64 im #s(literal 6 binary64))))
(log (pow im 2))
(log.f64 (*.f64 im im))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+.f64 (log.f64 (.f64 im im)) (/.f64 (.f64 re re) (*.f64 im im)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+.f64 (log.f64 (.f64 im im)) (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) (/.f64 #s(literal 1 binary64) (*.f64 im im)))))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(+.f64 (log.f64 (.f64 im im)) (.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (*.f64 im im))))))))
(* -2 (log (/ 1 re)))
(*.f64 #s(literal 2 binary64) (log.f64 re))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(+.f64 (.f64 #s(literal 2 binary64) (log.f64 re)) (/.f64 (.f64 im im) (*.f64 re re)))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 re)) (/.f64 (.f64 im im) (.f64 re re))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 (.f64 re re) (.f64 re re))))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(+.f64 (.f64 #s(literal 2 binary64) (log.f64 re)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 (.f64 re re) (.f64 re re))) (+.f64 (/.f64 (.f64 im im) (.f64 re re)) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 6 binary64))))))
(* -2 (log (/ -1 re)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))
(+.f64 (/.f64 (.f64 im im) (.f64 re re)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64)))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+.f64 (+.f64 (/.f64 (.f64 im im) (.f64 re re)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 (.f64 re re) (.f64 re re)))) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64)))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 (.f64 re re) (.f64 re re))) (+.f64 (+.f64 (/.f64 (.f64 im im) (.f64 re re)) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64))))
(log (pow re 2))
(log.f64 (*.f64 re re))
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))
(+.f64 (log.f64 (.f64 re re)) (/.f64 (.f64 im im) (*.f64 re re)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))
(+.f64 (log.f64 (.f64 re re)) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 im im)) (.f64 (.f64 re re) (.f64 re re))) (/.f64 #s(literal 1 binary64) (*.f64 re re)))))
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(+.f64 (log.f64 (.f64 re re)) (.f64 (.f64 im im) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 im (.f64 im (+.f64 (/.f64 (.f64 (.f64 im im) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 re re) (*.f64 re re)))))))))
(* -2 (log (/ 1 im)))
(*.f64 (log.f64 im) #s(literal 2 binary64))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(+.f64 (/.f64 (.f64 re re) (.f64 im im)) (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+.f64 (+.f64 (/.f64 (.f64 re re) (.f64 im im)) (.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (.f64 im im))))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(+.f64 (+.f64 (+.f64 (/.f64 (.f64 re re) (.f64 im im)) (.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (.f64 im im)))) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 6 binary64))))
(* -2 (log (/ -1 im)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(+.f64 (/.f64 (.f64 re re) (.f64 im im)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+.f64 (/.f64 (.f64 re re) (.f64 im im)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (.f64 im im))) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (.f64 im im))) (+.f64 (+.f64 (/.f64 (.f64 re re) (.f64 im im)) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))))

eval473.0ms (6.4%)

Compiler: Compiled 32162 to 3432 computations (89.3% saved)

prune207.0ms (2.8%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	1831	7	1838
Fresh	0	5	5
Picked	2	3	5
Done	0	3	3
Total	1833	18	1851

Accuracy

100.0%

Counts

1851 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
▶	53.7%	(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 1/10 binary64))) #s(literal -2 binary64))
	74.9%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
▶	74.6%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64))))
	98.6%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
▶	99.1%	(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im)))
✓	99.0%	(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
	96.0%	(/.f64 (log.f64 im) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
✓	98.7%	(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.7%	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
✓	98.6%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
▶	98.6%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
	99.1%	(*.f64 (/.f64 (log.f64 im) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
▶	98.3%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 im))
	74.7%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) #s(literal -1 binary64)))

Compiler

Compiled 390 to 321 computations (17.7% saved)

simplify186.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 #s(literal 10 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
✓	cost-diff	12800	(exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64)))
✓	cost-diff	13056	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64))))
✓	cost-diff	0	(+.f64 (.f64 re re) (.f64 im im))
✓	cost-diff	0	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	cost-diff	0	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 1/10 binary64)))
✓	cost-diff	0	(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 1/10 binary64))) #s(literal -2 binary64))
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 im))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
✓	cost-diff	128	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(log.f64 #s(literal 10 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 im))
✓	cost-diff	0	(log.f64 #s(literal 1/10 binary64))
✓	cost-diff	0	(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
✓	cost-diff	19456	(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im)))

Rules

2410×	`-lowering-.f32`
2410×	`-lowering-.f64`
2064×	`/-lowering-/.f32`
2064×	`/-lowering-/.f64`
1370×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	160
1	64	149
2	126	137
3	390	137
4	1823	137
5	2816	137
6	4482	137
7	7578	137
0	8056	137

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (pow (log 1/10) 2) -1) (/ (pow (log 1/10) 3) (log im)))
(* (pow (log 1/10) 2) -1)
(pow (log 1/10) 2)
(log 1/10)
1/10
2
-1
(/ (pow (log 1/10) 3) (log im))
(pow (log 1/10) 3)
3
(log im)
im
(* (/ 1 (log 10)) (log im))
(/ 1 (log 10))
1
(log 10)
10
(log im)
im
(/ -1 (* (/ 1 (log im)) (log 1/10)))
-1
(* (/ 1 (log im)) (log 1/10))
(/ 1 (log im))
1
(log im)
im
(log 1/10)
1/10
(/ (/ (log (+ (* re re) (* im im))) (log 1/10)) -2)
(/ (log (+ (* re re) (* im im))) (log 1/10))
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
(log 1/10)
1/10
-2
(/ (/ 1 (log 10)) (exp (* (log (log im)) -1)))
(/ 1 (log 10))
1
(log 10)
10
(exp (* (log (log im)) -1))
(* (log (log im)) -1)
(log (log im))
(log im)
im
-1

Outputs
(/ (* (pow (log 1/10) 2) -1) (/ (pow (log 1/10) 3) (log im)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* (pow (log 1/10) 2) -1)
(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(pow (log 1/10) 2)
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
2
#s(literal 2 binary64)
-1
#s(literal -1 binary64)
(/ (pow (log 1/10) 3) (log im))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im))
(pow (log 1/10) 3)
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(log im)
(log.f64 im)
im
(* (/ 1 (log 10)) (log im))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ 1 (log 10))
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
1
#s(literal 1 binary64)
(log 10)
(log.f64 #s(literal 10 binary64))
10
#s(literal 10 binary64)
(log im)
(log.f64 im)
im
(/ -1 (* (/ 1 (log im)) (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
-1
#s(literal -1 binary64)
(* (/ 1 (log im)) (log 1/10))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
1
#s(literal 1 binary64)
(log im)
(log.f64 im)
im
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
(/ (/ (log (+ (* re re) (* im im))) (log 1/10)) -2)
(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)))
(/ (log (+ (* re re) (* im im))) (log 1/10))
(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 1/10 binary64)))
(log (+ (* re re) (* im im)))
(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+ (* re re) (* im im))
(+.f64 (.f64 re re) (.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
-2
#s(literal -2 binary64)
(/ (/ 1 (log 10)) (exp (* (log (log im)) -1)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ 1 (log 10))
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
1
#s(literal 1 binary64)
(log 10)
(log.f64 #s(literal 10 binary64))
10
#s(literal 10 binary64)
(exp (* (log (log im)) -1))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(* (log (log im)) -1)
(log.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)))
(log (log im))
(log.f64 (log.f64 im))
(log im)
(log.f64 im)
im
-1
#s(literal -1 binary64)

localize162.0ms (2.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(log.f64 (log.f64 im))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64))))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
✓	accuracy	98.7%	(exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 re re) (.f64 im im))
✓	accuracy	99.3%	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 1/10 binary64)))
✓	accuracy	98.8%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	59.9%	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (log.f64 im))
✓	accuracy	99.3%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
✓	accuracy	98.8%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	100.0%	(log.f64 im)
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 im))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
✓	accuracy	99.4%	(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im)))
✓	accuracy	98.8%	(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
✓	accuracy	98.8%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	98.1%	(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))

Results

85.0ms	195×	0	valid
28.0ms	61×	0	invalid

Compiler

Compiled 181 to 33 computations (81.8% saved)

Precisions

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

ival-log: 16.0ms (23.9% of total)

ival-div: 13.0ms (19.4% of total)

ival-mult: 11.0ms (16.4% of total)

...c/correct-round.rkt:119:19: 11.0ms (16.4% of total)

ival-pow: 11.0ms (16.4% of total)

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

ival-add: 1.0ms (1.5% of total)

const: 1.0ms (1.5% of total)

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

series84.0ms (1.1%)

Counts

19 → 204

Calls

Call 1

Inputs
#<alt (/ (* (pow (log 1/10) 2) -1) (/ (pow (log 1/10) 3) (log im)))>
#<alt (* (pow (log 1/10) 2) -1)>
#<alt (pow (log 1/10) 2)>
#<alt (log 1/10)>
#<alt (* (/ 1 (log 10)) (log im))>
#<alt (/ 1 (log 10))>
#<alt (log 10)>
#<alt (log im)>
#<alt (/ -1 (* (/ 1 (log im)) (log 1/10)))>
#<alt (* (/ 1 (log im)) (log 1/10))>
#<alt (/ 1 (log im))>
#<alt (/ (/ (log (+ (* re re) (* im im))) (log 1/10)) -2)>
#<alt (/ (log (+ (* re re) (* im im))) (log 1/10))>
#<alt (log (+ (* re re) (* im im)))>
#<alt (+ (* re re) (* im im))>
#<alt (/ (/ 1 (log 10)) (exp (* (log (log im)) -1)))>
#<alt (exp (* (log (log im)) -1))>
#<alt (pow (log 1/10) 3)>
#<alt (log (log im))>

Outputs
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (/ (log 1/10) (log im))>
#<alt (/ (log 1/10) (log im))>
#<alt (/ (log 1/10) (log im))>
#<alt (/ (log 1/10) (log im))>
#<alt (* -1 (/ (log 1/10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 1/10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 1/10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 1/10) (log (/ 1 im))))>
#<alt (/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (* -1/2 (/ (log (pow im 2)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))>
#<alt (+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))>
#<alt (+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))>
#<alt (/ (log (/ 1 re)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))>
#<alt (/ (log (/ -1 re)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))))>
#<alt (* -1/2 (/ (log (pow re 2)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))>
#<alt (+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))>
#<alt (+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))))>
#<alt (/ (log (/ -1 im)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))>
#<alt (/ (log (pow im 2)) (log 1/10))>
#<alt (+ (/ (log (pow im 2)) (log 1/10)) (/ (pow re 2) (* (pow im 2) (log 1/10))))>
#<alt (+ (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (/ 1 (* (pow im 2) (log 1/10))))) (/ (log (pow im 2)) (log 1/10)))>
#<alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 4) (log 1/10)))))) (/ 1 (* (pow im 2) (log 1/10))))) (/ (log (pow im 2)) (log 1/10)))>
#<alt (* -2 (/ (log (/ 1 re)) (log 1/10)))>
#<alt (+ (* -2 (/ (log (/ 1 re)) (log 1/10))) (/ (pow im 2) (* (pow re 2) (log 1/10))))>
#<alt (+ (* -2 (/ (log (/ 1 re)) (log 1/10))) (+ (* -1/2 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (pow im 2) (* (pow re 2) (log 1/10)))))>
#<alt (+ (* -2 (/ (log (/ 1 re)) (log 1/10))) (+ (* -1/2 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (+ (* 1/3 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (/ (pow im 2) (* (pow re 2) (log 1/10))))))>
#<alt (* -2 (/ (log (/ -1 re)) (log 1/10)))>
#<alt (+ (* -2 (/ (log (/ -1 re)) (log 1/10))) (/ (pow im 2) (* (pow re 2) (log 1/10))))>
#<alt (+ (* -2 (/ (log (/ -1 re)) (log 1/10))) (+ (* -1/2 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (pow im 2) (* (pow re 2) (log 1/10)))))>
#<alt (+ (* -2 (/ (log (/ -1 re)) (log 1/10))) (+ (* -1/2 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (+ (* 1/3 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (/ (pow im 2) (* (pow re 2) (log 1/10))))))>
#<alt (/ (log (pow re 2)) (log 1/10))>
#<alt (+ (/ (log (pow re 2)) (log 1/10)) (/ (pow im 2) (* (pow re 2) (log 1/10))))>
#<alt (+ (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (/ 1 (* (pow re 2) (log 1/10))))) (/ (log (pow re 2)) (log 1/10)))>
#<alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 4) (log 1/10)))))) (/ 1 (* (pow re 2) (log 1/10))))) (/ (log (pow re 2)) (log 1/10)))>
#<alt (* -2 (/ (log (/ 1 im)) (log 1/10)))>
#<alt (+ (* -2 (/ (log (/ 1 im)) (log 1/10))) (/ (pow re 2) (* (pow im 2) (log 1/10))))>
#<alt (+ (* -2 (/ (log (/ 1 im)) (log 1/10))) (+ (* -1/2 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (pow re 2) (* (pow im 2) (log 1/10)))))>
#<alt (+ (* -2 (/ (log (/ 1 im)) (log 1/10))) (+ (* -1/2 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (+ (* 1/3 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (/ (pow re 2) (* (pow im 2) (log 1/10))))))>
#<alt (* -2 (/ (log (/ -1 im)) (log 1/10)))>
#<alt (+ (* -2 (/ (log (/ -1 im)) (log 1/10))) (/ (pow re 2) (* (pow im 2) (log 1/10))))>
#<alt (+ (* -2 (/ (log (/ -1 im)) (log 1/10))) (+ (* -1/2 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (pow re 2) (* (pow im 2) (log 1/10)))))>
#<alt (+ (* -2 (/ (log (/ -1 im)) (log 1/10))) (+ (* -1/2 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (+ (* 1/3 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (/ (pow re 2) (* (pow im 2) (log 1/10))))))>
#<alt (log (pow im 2))>
#<alt (+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))>
#<alt (+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))>
#<alt (+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))>
#<alt (* -2 (log (/ 1 re)))>
#<alt (+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))>
#<alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))>
#<alt (* -2 (log (/ -1 re)))>
#<alt (+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))>
#<alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))>
#<alt (log (pow re 2))>
#<alt (+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))>
#<alt (+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))>
#<alt (+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))>
#<alt (* -2 (log (/ 1 im)))>
#<alt (+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))>
#<alt (* -2 (log (/ -1 im)))>
#<alt (+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))>
#<alt (pow im 2)>
#<alt (+ (pow im 2) (pow re 2))>
#<alt (+ (pow im 2) (pow re 2))>
#<alt (+ (pow im 2) (pow re 2))>
#<alt (pow re 2)>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (pow re 2)>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (pow re 2)>
#<alt (+ (pow im 2) (pow re 2))>
#<alt (+ (pow im 2) (pow re 2))>
#<alt (+ (pow im 2) (pow re 2))>
#<alt (pow im 2)>
#<alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))>
#<alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))>
#<alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))>
#<alt (pow im 2)>
#<alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))>
#<alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))>
#<alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log (log im))>
#<alt (log (log im))>
#<alt (log (log im))>
#<alt (log (log im))>
#<alt (log (* -1 (log (/ 1 im))))>
#<alt (log (* -1 (log (/ 1 im))))>
#<alt (log (* -1 (log (/ 1 im))))>
#<alt (log (* -1 (log (/ 1 im))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 im)))))>

Calls

51 calls:

Time	Variable		Point	Expression
43.0ms	im	@	0	(log (log im))
18.0ms	im	@	inf	(log (log im))
18.0ms	im	@	-inf	(log (log im))
0.0ms	re	@	inf	(/ (log (+ (* re re) (* im im))) (log 1/10))
0.0ms	im	@	inf	(/ (log (+ (* re re) (* im im))) (log 1/10))

rewrite84.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

434×	`-lowering-.f32`
434×	`-lowering-.f64`
418×	`/-lowering-/.f32`
418×	`/-lowering-/.f64`
98×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	101
1	145	92
0	803	92

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

19 → 234

Calls

Call 1

Inputs
(/ (* (pow (log 1/10) 2) -1) (/ (pow (log 1/10) 3) (log im)))
(* (pow (log 1/10) 2) -1)
(pow (log 1/10) 2)
(log 1/10)
(* (/ 1 (log 10)) (log im))
(/ 1 (log 10))
(log 10)
(log im)
(/ -1 (* (/ 1 (log im)) (log 1/10)))
(* (/ 1 (log im)) (log 1/10))
(/ 1 (log im))
(/ (/ (log (+ (* re re) (* im im))) (log 1/10)) -2)
(/ (log (+ (* re re) (* im im))) (log 1/10))
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(/ (/ 1 (log 10)) (exp (* (log (log im)) -1)))
(exp (* (log (log im)) -1))
(pow (log 1/10) 3)
(log (log im))

Outputs
(neg.f64 (/.f64 (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 im)))))
(neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) (log.f64 im)))))
(/.f64 (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) (log.f64 im))) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 im))))
(/.f64 (/.f64 (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im)))
(/.f64 (.f64 (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im)))
(/.f64 (.f64 (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) (log.f64 im))) #s(literal -1 binary64))
(.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im)))))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im))))
(.f64 (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(.f64 (log.f64 im) (/.f64 (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im))))
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im))))
(.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(.f64 (/.f64 (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (log.f64 im))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 im))))
(.f64 (/.f64 (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)) (/.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 #s(literal 1/10 binary64)))))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 #s(literal 1/10 binary64)))) #s(literal 2 binary64))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (exp.f64 (log.f64 (log.f64 #s(literal 1/10 binary64)))) (exp.f64 (log.f64 (log.f64 #s(literal 1/10 binary64)))))
(log.f64 #s(literal 1/10 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(neg.f64 (log.f64 #s(literal 10 binary64)))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))
(*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64)))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 im))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 (log.f64 im) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (log.f64 im) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 im))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(*.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)) (log.f64 im))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))
(log.f64 #s(literal 10 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(log.f64 im)
(exp.f64 (log.f64 (log.f64 im)))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (log.f64 im)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 (log.f64 im) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal -1 binary64))
(pow.f64 (log.f64 im) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(*.f64 (log.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 im))
(neg.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 im))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 (log.f64 im) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (log.f64 im) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 im))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(*.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)) (log.f64 im))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(/.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
(exp.f64 (neg.f64 (log.f64 (log.f64 im))))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 im))))
(pow.f64 (log.f64 im) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) (pow.f64 (log.f64 im) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 1/10 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 10 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 10 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 10 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 1/10 binary64))) #s(literal -2 binary64))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 10 binary64))) #s(literal 2 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))) (*.f64 #s(literal -2 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal -1/2 binary64)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal -1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal -2 binary64)) (log.f64 #s(literal 1/10 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 10 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64))))
(.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64))))
(.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) #s(literal -1/2 binary64)))
(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) #s(literal -2 binary64)))
(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64))
(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 1 binary64)))
(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(pow.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 #s(literal 1/10 binary64))))
(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))
(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
(-.f64 (log.f64 (+.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) (log.f64 (+.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (-.f64 (.f64 im im) (*.f64 re re))))))
(-.f64 (log.f64 (.f64 (+.f64 (.f64 re re) (.f64 im im)) (-.f64 (.f64 re re) (.f64 im im)))) (log.f64 (-.f64 (.f64 re re) (*.f64 im im))))
(+.f64 (.f64 re re) (.f64 im im))
(+.f64 (.f64 im im) (.f64 re re))
(-.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (-.f64 (.f64 re re) (.f64 im im))) (/.f64 (.f64 im (.f64 im (.f64 im im))) (-.f64 (.f64 re re) (.f64 im im))))
(fma.f64 im im (*.f64 re re))
(fma.f64 re re (*.f64 im im))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (-.f64 (.f64 im im) (.f64 re re)))) (+.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (*.f64 im im)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 re re) (.f64 im im)) (.f64 (+.f64 (.f64 re re) (.f64 im im)) (-.f64 (.f64 re re) (*.f64 im im)))))
(/.f64 (+.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) (+.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (-.f64 (.f64 im im) (*.f64 re re)))))
(/.f64 (+.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) (+.f64 (.f64 im (.f64 im (.f64 im im))) (-.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 re (.f64 re (*.f64 im im))))))
(/.f64 (.f64 (+.f64 (.f64 re re) (.f64 im im)) (-.f64 (.f64 re re) (.f64 im im))) (-.f64 (.f64 re re) (*.f64 im im)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) (neg.f64 (+.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (-.f64 (.f64 im im) (*.f64 re re))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 re re) (.f64 im im)) (-.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (-.f64 (.f64 re re) (*.f64 im im))))
(/.f64 (-.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (.f64 re re))) (-.f64 (.f64 im im) (.f64 re re)))
(.f64 (+.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (-.f64 (.f64 im im) (.f64 re re))))))
(.f64 (.f64 (+.f64 (.f64 re re) (.f64 im im)) (-.f64 (.f64 re re) (.f64 im im))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 im im))))
(neg.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 im))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 (log.f64 im) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (log.f64 im) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 im))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(*.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)) (log.f64 im))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(exp.f64 (neg.f64 (log.f64 (log.f64 im))))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 im))))
(pow.f64 (log.f64 im) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) (pow.f64 (log.f64 im) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 #s(literal 1/10 binary64)))))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 #s(literal 1/10 binary64)))) #s(literal 3 binary64))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))
(log.f64 (log.f64 im))

simplify260.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

4666×	`-lowering-.f32`
4666×	`-lowering-.f64`
1816×	`sum3-define`
1752×	`+-lowering-+.f64`
1752×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	255	2506
1	762	2262
2	2304	2198
3	6775	2192
0	8176	2192

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/ (log im) (log 10))
(/ (log im) (log 10))
(/ (log im) (log 10))
(/ (log im) (log 10))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/ (log 1/10) (log im))
(/ (log 1/10) (log im))
(/ (log 1/10) (log im))
(/ (log 1/10) (log im))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(* -1/2 (/ (log (pow im 2)) (log 1/10)))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(/ (log (/ -1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))))
(* -1/2 (/ (log (pow re 2)) (log 1/10)))
(+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))
(+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))
(+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))
(/ (log (/ 1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))))
(/ (log (/ -1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))
(/ (log (pow im 2)) (log 1/10))
(+ (/ (log (pow im 2)) (log 1/10)) (/ (pow re 2) (* (pow im 2) (log 1/10))))
(+ (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (/ 1 (* (pow im 2) (log 1/10))))) (/ (log (pow im 2)) (log 1/10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 4) (log 1/10)))))) (/ 1 (* (pow im 2) (log 1/10))))) (/ (log (pow im 2)) (log 1/10)))
(* -2 (/ (log (/ 1 re)) (log 1/10)))
(+ (* -2 (/ (log (/ 1 re)) (log 1/10))) (/ (pow im 2) (* (pow re 2) (log 1/10))))
(+ (* -2 (/ (log (/ 1 re)) (log 1/10))) (+ (* -1/2 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (pow im 2) (* (pow re 2) (log 1/10)))))
(+ (* -2 (/ (log (/ 1 re)) (log 1/10))) (+ (* -1/2 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (+ (* 1/3 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (/ (pow im 2) (* (pow re 2) (log 1/10))))))
(* -2 (/ (log (/ -1 re)) (log 1/10)))
(+ (* -2 (/ (log (/ -1 re)) (log 1/10))) (/ (pow im 2) (* (pow re 2) (log 1/10))))
(+ (* -2 (/ (log (/ -1 re)) (log 1/10))) (+ (* -1/2 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (pow im 2) (* (pow re 2) (log 1/10)))))
(+ (* -2 (/ (log (/ -1 re)) (log 1/10))) (+ (* -1/2 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (+ (* 1/3 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (/ (pow im 2) (* (pow re 2) (log 1/10))))))
(/ (log (pow re 2)) (log 1/10))
(+ (/ (log (pow re 2)) (log 1/10)) (/ (pow im 2) (* (pow re 2) (log 1/10))))
(+ (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (/ 1 (* (pow re 2) (log 1/10))))) (/ (log (pow re 2)) (log 1/10)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 4) (log 1/10)))))) (/ 1 (* (pow re 2) (log 1/10))))) (/ (log (pow re 2)) (log 1/10)))
(* -2 (/ (log (/ 1 im)) (log 1/10)))
(+ (* -2 (/ (log (/ 1 im)) (log 1/10))) (/ (pow re 2) (* (pow im 2) (log 1/10))))
(+ (* -2 (/ (log (/ 1 im)) (log 1/10))) (+ (* -1/2 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -2 (/ (log (/ 1 im)) (log 1/10))) (+ (* -1/2 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (+ (* 1/3 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (/ (pow re 2) (* (pow im 2) (log 1/10))))))
(* -2 (/ (log (/ -1 im)) (log 1/10)))
(+ (* -2 (/ (log (/ -1 im)) (log 1/10))) (/ (pow re 2) (* (pow im 2) (log 1/10))))
(+ (* -2 (/ (log (/ -1 im)) (log 1/10))) (+ (* -1/2 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -2 (/ (log (/ -1 im)) (log 1/10))) (+ (* -1/2 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (+ (* 1/3 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (/ (pow re 2) (* (pow im 2) (log 1/10))))))
(log (pow im 2))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(* -2 (log (/ 1 re)))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(* -2 (log (/ -1 re)))
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(log (pow re 2))
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(* -2 (log (/ 1 im)))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(* -2 (log (/ -1 im)))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(pow im 2)
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(pow re 2)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(pow re 2)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(pow re 2)
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(pow im 2)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(pow im 2)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(/ (log im) (log 10))
(/ (log im) (log 10))
(/ (log im) (log 10))
(/ (log im) (log 10))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(log (log im))
(log (log im))
(log (log im))
(log (log im))
(log (* -1 (log (/ 1 im))))
(log (* -1 (log (/ 1 im))))
(log (* -1 (log (/ 1 im))))
(log (* -1 (log (/ 1 im))))
(log (+ (log -1) (* -1 (log (/ -1 im)))))
(log (+ (log -1) (* -1 (log (/ -1 im)))))
(log (+ (log -1) (* -1 (log (/ -1 im)))))
(log (+ (log -1) (* -1 (log (/ -1 im)))))

Outputs
(* -1 (/ (log im) (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(* -1 (/ (log im) (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log 1/10) (log im))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(/ (log 1/10) (log im))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(/ (log 1/10) (log im))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(/ (log 1/10) (log im))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(* -1/2 (/ (log (pow im 2)) (log 1/10)))
(.f64 (log.f64 (.f64 im im)) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (log.f64 (.f64 im im)) (log.f64 #s(literal 1/10 binary64))) (/.f64 (/.f64 (.f64 re re) (.f64 im im)) (log.f64 #s(literal 1/10 binary64)))))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+.f64 (.f64 (log.f64 (.f64 im im)) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64)))) (.f64 re (.f64 re (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (.f64 im im)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re (/.f64 re (log.f64 #s(literal 1/10 binary64))))) (.f64 im (.f64 im (.f64 im im))))))))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+.f64 (.f64 (log.f64 (.f64 im im)) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64)))) (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) (.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/10 binary64))) (.f64 im (.f64 im (.f64 im im)))))) (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 im im)))))
(/ (log (/ 1 re)) (log 1/10))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 re)) (log.f64 #s(literal 1/10 binary64)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(-.f64 (/.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (.f64 re (.f64 (log.f64 #s(literal 1/10 binary64)) re))) (/.f64 (log.f64 re) (log.f64 #s(literal 1/10 binary64))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(-.f64 (.f64 im (.f64 im (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 re (.f64 (log.f64 #s(literal 1/10 binary64)) re))) (/.f64 (.f64 (.f64 im im) #s(literal 1/4 binary64)) (.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 re (.f64 re (.f64 re re)))))))) (/.f64 (log.f64 re) (log.f64 #s(literal 1/10 binary64))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(+.f64 (.f64 im (.f64 im (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 re (.f64 (log.f64 #s(literal 1/10 binary64)) re))) (/.f64 (.f64 (.f64 im im) #s(literal 1/4 binary64)) (.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 re (.f64 re (.f64 re re)))))))) (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (log.f64 re) (log.f64 #s(literal 1/10 binary64)))))
(/ (log (/ -1 re)) (log 1/10))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 1/10 binary64)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))
(+.f64 (/.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (.f64 re (.f64 (log.f64 #s(literal 1/10 binary64)) re))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 1/10 binary64))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))))
(+.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 1/10 binary64))) (.f64 im (.f64 im (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 re (.f64 (log.f64 #s(literal 1/10 binary64)) re))) (/.f64 (.f64 (.f64 im im) #s(literal 1/4 binary64)) (.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 re (.f64 re (.f64 re re)))))))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))))
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(+.f64 (log.f64 (.f64 re re)) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 im (.f64 im #s(literal -1/2 binary64))) (.f64 re (.f64 re (.f64 re re)))) (/.f64 #s(literal 1 binary64) (*.f64 re re)))))
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(+.f64 (log.f64 (.f64 re re)) (.f64 (.f64 im im) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 (.f64 im im) (-.f64 (/.f64 (.f64 im (.f64 im #s(literal 1/3 binary64))) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (*.f64 re re)))))))))
(* -2 (log (/ 1 im)))
(*.f64 (log.f64 im) #s(literal 2 binary64))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(+.f64 (/.f64 (.f64 re re) (.f64 im im)) (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+.f64 (.f64 (log.f64 im) #s(literal 2 binary64)) (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1 binary64) (*.f64 im im)))))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(+.f64 (.f64 (log.f64 im) #s(literal 2 binary64)) (+.f64 (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1 binary64) (.f64 im im)))) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 6 binary64)))))
(* -2 (log (/ -1 im)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(+.f64 (/.f64 (.f64 re re) (.f64 im im)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+.f64 (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1 binary64) (.f64 im im)))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(+.f64 (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1 binary64) (.f64 im im)))) (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64)) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 6 binary64)))))
(pow im 2)
(*.f64 im im)
(+ (pow im 2) (pow re 2))
(+.f64 (.f64 im im) (.f64 re re))
(+ (pow im 2) (pow re 2))
(+.f64 (.f64 im im) (.f64 re re))
(+ (pow im 2) (pow re 2))
(+.f64 (.f64 im im) (.f64 re re))
(pow re 2)
(*.f64 re re)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))))
(pow re 2)
(*.f64 re re)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(.f64 (.f64 re re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))))
(pow re 2)
(*.f64 re re)
(+ (pow im 2) (pow re 2))
(+.f64 (.f64 im im) (.f64 re re))
(+ (pow im 2) (pow re 2))
(+.f64 (.f64 im im) (.f64 re re))
(+ (pow im 2) (pow re 2))
(+.f64 (.f64 im im) (.f64 re re))
(pow im 2)
(*.f64 im im)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 re re) (.f64 im im))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 re re) (.f64 im im))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 re re) (.f64 im im))))
(pow im 2)
(*.f64 im im)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 re re) (.f64 im im))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 re re) (.f64 im im))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 re re) (.f64 im im))))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(log (log im))
(log.f64 (log.f64 im))
(log (log im))
(log.f64 (log.f64 im))
(log (log im))
(log.f64 (log.f64 im))
(log (log im))
(log.f64 (log.f64 im))
(log (* -1 (log (/ 1 im))))
(log.f64 (log.f64 im))
(log (* -1 (log (/ 1 im))))
(log.f64 (log.f64 im))
(log (* -1 (log (/ 1 im))))
(log.f64 (log.f64 im))
(log (* -1 (log (/ 1 im))))
(log.f64 (log.f64 im))
(log (+ (log -1) (* -1 (log (/ -1 im)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(log (+ (log -1) (* -1 (log (/ -1 im)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(log (+ (log -1) (* -1 (log (/ -1 im)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(log (+ (log -1) (* -1 (log (/ -1 im)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))

eval57.0ms (0.8%)

Compiler: Compiled 8083 to 956 computations (88.2% saved)

prune79.0ms (1.1%)

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	552	5	557
Fresh	1	6	7
Picked	2	3	5
Done	0	6	6
Total	555	20	575

Accuracy

100.0%

Counts

575 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
✓	53.7%	(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 1/10 binary64))) #s(literal -2 binary64))
	74.9%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	74.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 im))))
✓	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
	74.6%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (exp.f64 (neg.f64 (log.f64 (log.f64 im)))))
	98.6%	(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
✓	99.0%	(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
	96.0%	(/.f64 (log.f64 im) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
✓	98.7%	(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.7%	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
✓	98.6%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
	98.7%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
✓	98.6%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
✓	98.3%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 im))
	74.6%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (exp.f64 (log.f64 (log.f64 im))))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (log.f64 im))
	74.7%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) #s(literal -1 binary64)))

Compiler

Compiled 613 to 302 computations (50.7% saved)

regimes99.0ms (1.3%)

Counts

32 → 1

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 im))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 1/10 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (exp.f64 (log.f64 (log.f64 im))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (exp.f64 (neg.f64 (log.f64 (log.f64 im)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 im))))
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (log.f64 im))
(*.f64 (/.f64 (log.f64 im) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(/.f64 (log.f64 im) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im)))

Outputs
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (log.f64 im))

Calls

8 calls:

29.0ms	re
11.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
10.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
10.0ms	(*.f64 re re)
9.0ms	im

Results

Accuracy	Segments	Branch
99.2%	1	`re`
99.2%	1	`im`
99.2%	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
99.2%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
99.2%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
99.2%	1	`(+.f64 (.f64 re re) (.f64 im im))`
99.2%	1	`(*.f64 re re)`
99.2%	1	`(*.f64 im im)`

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes99.0ms (1.3%)

Counts

27 → 1

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 im))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 1/10 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (exp.f64 (log.f64 (log.f64 im))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (exp.f64 (neg.f64 (log.f64 (log.f64 im)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 im))))

Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))

Calls

8 calls:

27.0ms	(+.f64 (.f64 re re) (.f64 im im))
20.0ms	(*.f64 re re)
9.0ms	im
9.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
9.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Results

Accuracy	Segments	Branch
99.1%	1	`re`
99.1%	1	`im`
99.1%	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
99.1%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
99.1%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
99.1%	1	`(+.f64 (.f64 re re) (.f64 im im))`
99.1%	1	`(*.f64 re re)`
99.1%	1	`(*.f64 im im)`

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes27.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 im))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 #s(literal 1/10 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))

Calls

5 calls:

7.0ms	(*.f64 im im)
6.0ms	im
5.0ms	re
5.0ms	(+.f64 (.f64 re re) (.f64 im im))
4.0ms	(*.f64 re re)

Results

Accuracy	Segments	Branch
98.8%	1	`re`
98.8%	1	`im`
98.8%	1	`(+.f64 (.f64 re re) (.f64 im im))`
98.8%	1	`(*.f64 re re)`
98.8%	1	`(*.f64 im im)`

Compiler

Compiled 25 to 15 computations (40% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.5b remaining (-66.4%)

Threshold costs -0.5b (-66.4%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 im))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))

Outputs
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))

Calls

2 calls:

2.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
98.7%	1	`im`
98.7%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	20	31

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (log.f64 im))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))

Outputs
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (log.f64 im))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))

soundness649.0ms (8.7%)

Rules

5914×	`-lowering-.f32`
5914×	`-lowering-.f64`
2228×	`+-lowering-+.f64`
2228×	`+-lowering-+.f32`
2172×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	108
1	103	92
2	571	91
3	4330	91
0	8240	91
0	32	101
1	145	92
0	803	92
0	263	1436
1	794	1252
2	2676	1188
0	8383	1188
0	10	7
1	15	7
2	17	7
0	17	7

Stop Event

1×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	node limit

Compiler

Compiled 122 to 87 computations (28.7% saved)

preprocess51.0ms (0.7%)

Compiler: Compiled 262 to 160 computations (38.9% saved)

Iter	Nodes	Cost
0	28	44
1	65	44
2	120	44
3	247	44
4	464	44
5	635	44
6	720	44
7	738	44
8	773	44
9	775	44
10	776	44
0	10	7
1	15	7
2	17	7
0	17	7

Iter	Nodes	Cost
0	28	44
1	65	44
2	120	44
3	247	44
4	464	44
5	635	44
6	720	44
7	738	44
8	773	44
9	775	44
10	776	44
0	10	7
1	15	7
2	17	7
0	17	7

analyze82.0ms (1.1%)

sample1.1s (15.3%)

preprocess31.0ms (0.4%)

explain116.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize40.0ms (0.5%)

series11.0ms (0.1%)

rewrite305.0ms (4.1%)

simplify284.0ms (3.8%)

eval22.0ms (0.3%)

prune30.0ms (0.4%)

simplify55.0ms (0.7%)

localize205.0ms (2.8%)

series146.0ms (2%)

rewrite398.0ms (5.4%)

simplify492.0ms (6.6%)

eval332.0ms (4.5%)

prune276.0ms (3.7%)

simplify142.0ms (1.9%)

localize153.0ms (2.1%)

series68.0ms (0.9%)

rewrite252.0ms (3.4%)

simplify312.0ms (4.2%)

eval473.0ms (6.4%)

prune207.0ms (2.8%)

simplify186.0ms (2.5%)

localize162.0ms (2.2%)

series84.0ms (1.1%)

rewrite84.0ms (1.1%)

simplify260.0ms (3.5%)

eval57.0ms (0.8%)

prune79.0ms (1.1%)

regimes99.0ms (1.3%)

regimes99.0ms (1.3%)

regimes27.0ms (0.4%)

regimes4.0ms (0.1%)

simplify8.0ms (0.1%)

soundness649.0ms (8.7%)

preprocess51.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	28	44
1	65	44
2	120	44
3	247	44
4	464	44
5	635	44
6	720	44
7	738	44
8	773	44
9	775	44
10	776	44
0	10	7
1	15	7
2	17	7
0	17	7