Metrics for math.log10 on complex, real part

analyze92.0ms (1.3%)

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: 45.0ms

ival-log: 17.0ms (38% of total)

ival-mult: 11.0ms (24.6% of total)

ival-div: 6.0ms (13.4% of total)

ival-sqrt: 6.0ms (13.4% of total)

ival-add: 4.0ms (9% of total)

const: 1.0ms (2.2% of total)

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

sample1.1s (14.8%)

Results

839.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 545.0ms

ival-log: 195.0ms (35.8% of total)

ival-mult: 157.0ms (28.8% of total)

ival-sqrt: 73.0ms (13.4% of total)

ival-div: 61.0ms (11.2% of total)

ival-add: 43.0ms (7.9% of total)

const: 12.0ms (2.2% of total)

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

Bogosity

preprocess27.0ms (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)

explain114.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
129	-	1	(2.7946381940629988e-185 1.758940846365631e-157)	`(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

76.0ms

512×

valid

Compiler

Compiled 114 to 32 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-log: 12.0ms (38.7% of total)

ival-mult: 8.0ms (25.8% of total)

ival-div: 4.0ms (12.9% of total)

ival-sqrt: 4.0ms (12.9% of total)

ival-add: 2.0ms (6.4% of total)

const: 1.0ms (3.2% 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)

simplify5.0ms (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)

localize46.0ms (0.6%)

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

36.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

compiled-spec: 12.0ms (39.6% of total)

ival-sqrt: 6.0ms (19.8% of total)

ival-log: 5.0ms (16.5% of total)

ival-mult: 4.0ms (13.2% of total)

ival-div: 2.0ms (6.6% of total)

ival-add: 1.0ms (3.3% of total)

const: 0.0ms (0% of total)

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

series10.0ms (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))

rewrite271.0ms (3.7%)

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)))

simplify325.0ms (4.5%)

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))

eval26.0ms (0.4%)

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

prune32.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	189	10	199
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	189	11	200

Accuracy

99.8%

Counts

200 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.0%	(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))
▶	51.0%	(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
	51.0%	(/.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)))
▶	98.0%	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
▶	51.0%	(/.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))))))
	51.0%	(/.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))))))
▶	51.0%	(.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))))
	50.8%	(.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))))
	33.0%	(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 327 to 249 computations (23.9% saved)

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
✓	cost-diff	6592	(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))
✓	cost-diff	6720	(.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))))
✓	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

236×	`fma-define`
220×	`-lowering-.f32`
220×	`-lowering-.f64`
148×	`sum3-define`
148×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	189
1	57	187
2	96	187
3	144	187
4	199	187
5	285	187
6	415	187
7	614	187
8	675	187
9	768	187
10	803	187
11	811	187
12	829	187
13	838	187
14	862	187
15	1014	187
16	1017	187
0	1017	187

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

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

localize241.0ms (3.3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 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	51.5%	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	99.6%	(/.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))))))
✓	accuracy	99.0%	(/.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	51.5%	(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	99.1%	(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
✓	accuracy	51.5%	(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	99.1%	(/.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	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))

Results

178.0ms

256×

valid

Compiler

Compiled 241 to 30 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-log: 54.0ms (52.3% of total)

ival-div: 12.0ms (11.6% of total)

ival-mult: 12.0ms (11.6% of total)

compiled-spec: 8.0ms (7.7% of total)

...c/correct-round.rkt:119:19: 5.0ms (4.8% of total)

ival-pow: 5.0ms (4.8% of total)

ival-add: 3.0ms (2.9% of total)

ival-sqrt: 2.0ms (1.9% of total)

const: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

series107.0ms (1.5%)

Counts

19 → 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 (* (pow (/ 1 (* -1/2 (log (+ (* re re) (* im im))))) -1) (/ 1 (log 1/10)))>
#<alt (pow (/ 1 (* -1/2 (log (+ (* re re) (* im im))))) -1)>
#<alt (/ 1 (* -1/2 (log (+ (* re re) (* im im)))))>
#<alt (neg (log 1/10))>
#<alt (/ 1 (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))>
#<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))))>
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#<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)))))))>

Calls

84 calls:

Time	Variable		Point	Expression
46.0ms	im	@	0	(/ (log im) (log 10))
12.0ms	im	@	-inf	(/ (log im) (log 10))
8.0ms	im	@	0	(/ (* (log (+ (* re re) (* im im))) 1/2) (log 10))
7.0ms	im	@	inf	(/ (log im) (log 10))
3.0ms	re	@	inf	(/ 1 (* -1/2 (log (+ (* re re) (* im im)))))

rewrite347.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2516×	`-lowering-.f32`
2516×	`-lowering-.f64`
1710×	`/-lowering-/.f32`
1710×	`/-lowering-/.f64`
1500×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	101
1	122	89
2	667	89
3	4787	89
0	8821	89

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1021

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

simplify392.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

6752×	`-lowering-.f32`
6752×	`-lowering-.f64`
4740×	`+-lowering-+.f64`
4740×	`+-lowering-+.f32`
1486×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	908	7886
1	2991	7006
0	8360	7006

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

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

eval312.0ms (4.3%)

Compiler: Compiled 56264 to 4425 computations (92.1% saved)

prune308.0ms (4.3%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1855	12	1867
Fresh	4	1	5
Picked	2	3	5
Done	0	1	1
Total	1861	17	1878

Accuracy

100.0%

Counts

1878 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.0%	(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))
▶	51.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 #s(literal 10 binary64)))
	51.0%	(/.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)))))
✓	51.0%	(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 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)))
▶	97.9%	(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.0%	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
▶	97.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
	51.0%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))))
	97.8%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
	97.8%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 im))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))
	51.2%	(.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 (/.f64 #s(literal -1 binary64) (-.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))))
▶	98.2%	(*.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)))
	97.5%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal -1 binary64)))
	97.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 im))
▶	73.4%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) #s(literal -1 binary64)))

Compiler

Compiled 421 to 340 computations (19.2% saved)

simplify149.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

2890×	`fnmadd-define`
1818×	`-lowering-.f32`
1818×	`-lowering-.f64`
1596×	`fma-define`
1446×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	164
1	62	160
2	113	158
3	253	146
4	890	146
5	2034	146
6	4074	146
7	6624	146
0	8164	146

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

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

localize294.0ms (4.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	100.0%	(log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
✓	accuracy	99.2%	(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
✓	accuracy	98.8%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) #s(literal -1 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
✓	accuracy	99.6%	(/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
✓	accuracy	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 #s(literal 10 binary64)))
✓	accuracy	58.4%	(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	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
✓	accuracy	99.2%	(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
✓	accuracy	100.0%	(neg.f64 (log.f64 #s(literal 1/10 binary64)))
✓	accuracy	100.0%	(log.f64 im)
✓	accuracy	99.3%	(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	accuracy	98.8%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	99.4%	(*.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	98.8%	(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

167.0ms	192×	0	valid
35.0ms	64×	0	invalid

Compiler

Compiled 183 to 32 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-exp: 35.0ms (39.5% of total)

ival-log: 16.0ms (18% of total)

ival-div: 12.0ms (13.5% of total)

ival-pow: 9.0ms (10.1% of total)

ival-mult: 7.0ms (7.9% of total)

...c/correct-round.rkt:119:19: 5.0ms (5.6% of total)

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

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

const: 1.0ms (1.1% of total)

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

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

series132.0ms (1.8%)

Counts

19 → 204

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

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

Calls

51 calls:

Time	Variable		Point	Expression
31.0ms	im	@	0	(* (/ (log im) (- 0 (pow (log 1/10) 3))) (pow (log 1/10) 2))
28.0ms	im	@	-inf	(* (log (/ (log 10) (log im))) -1)
22.0ms	re	@	inf	(/ 2 (log (+ (* re re) (* im im))))
21.0ms	im	@	0	(* (log (/ (log 10) (log im))) -1)
16.0ms	im	@	inf	(* (log (/ (log 10) (log im))) -1)

rewrite404.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4510×	`-lowering-.f32`
4510×	`-lowering-.f64`
3320×	`/-lowering-/.f32`
3320×	`/-lowering-/.f64`
944×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	133
1	144	127
2	918	98
0	8689	98

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1614

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) (.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (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 10 binary64))) (.f64 (/.f64 (.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (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 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (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 10 binary64))))
(+.f64 (.f64 (/.f64 (.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (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 10 binary64))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (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 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (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 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64))))) (.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64))))))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (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 (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))))
(-.f64 #s(literal 0 binary64) (/.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))))
(neg.f64 (*.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im)))))
(neg.f64 (*.f64 (/.f64 (log.f64 im) (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 (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im))) (log.f64 #s(literal 10 binary64))))
(neg.f64 (/.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 (log.f64 im) (log.f64 #s(literal 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)) (-.f64 #s(literal 0 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 (log.f64 #s(literal 1/10 binary64)) (/.f64 (log.f64 im) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (log.f64 im) (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 (*.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (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)))
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(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)) (log.f64 #s(literal 1/10 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 5 binary64))))
(*.f64 (/.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 9/2 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 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 9/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9/2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 5 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9/2 binary64)) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9/2 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 9/2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9/2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9/2 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 9/2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9/2 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9/2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/10 binary64))) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/10 binary64))))
(.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64))))
(.f64 (.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 3/4 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/4 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (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)))
(.f64 (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (log.f64 #s(literal 10 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 1/2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (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)))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 12 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 12 binary64)))) (-.f64 #s(literal 0 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 6 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 18 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 12 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 12 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 18 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 12 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 #s(literal 1/10 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 #s(literal 1/10 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))) (log.f64 (log.f64 #s(literal 1/10 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 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 #s(literal 2 binary64)) (log.f64 (log.f64 #s(literal 1/10 binary64))))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 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 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))
(*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 10 binary64)))
(*.f64 #s(literal -1 binary64) (-.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 1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/10 binary64))))
(.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (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)))

simplify340.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

5016×	`-lowering-.f32`
5016×	`-lowering-.f64`
2572×	`/-lowering-/.f32`
2572×	`/-lowering-/.f64`
2126×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	499	3414
1	1545	3058
2	5235	2964
0	8064	2964

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

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

eval326.0ms (4.5%)

Compiler: Compiled 38909 to 4509 computations (88.4% saved)

prune234.0ms (3.2%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	2163	8	2171
Fresh	6	2	8
Picked	3	2	5
Done	0	4	4
Total	2172	16	2188

Accuracy

100.0%

Counts

2188 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.8%	(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	73.2%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))
▶	98.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
	97.8%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 im)))
✓	51.0%	(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 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)))
✓	97.9%	(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.0%	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
	97.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))
✓	97.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
▶	97.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
	97.8%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
▶	97.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 im))
▶	98.3%	(neg.f64 (/.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))))
▶	73.4%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))

Compiler

Compiled 278 to 235 computations (15.5% saved)

simplify256.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
✓	cost-diff	0	(log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
✓	cost-diff	12800	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 im))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im)))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 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 10 binary64)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 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	19392	(neg.f64 (/.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))))
✓	cost-diff	19456	(/.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)))

Rules

2312×	`-lowering-.f32`
2312×	`-lowering-.f64`
1992×	`/-lowering-/.f32`
1992×	`/-lowering-/.f64`
1640×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	123
1	50	119
2	126	107
3	443	107
4	1223	107
5	2187	107
6	3333	107
7	6680	107
0	8415	107

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(neg (/ (pow (log 1/10) 2) (/ (pow (log 1/10) 3) (log im))))
(/ (pow (log 1/10) 2) (/ (pow (log 1/10) 3) (log im)))
(pow (log 1/10) 2)
(log 1/10)
1/10
2
(/ (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 10)))
1
(* (/ 1 (log im)) (log 10))
(/ 1 (log im))
(log im)
im
(log 10)
10
(/ (/ 1 (/ 1 (log im))) (log 10))
(/ 1 (/ 1 (log im)))
1
(/ 1 (log im))
(log im)
im
(log 10)
10
(exp (log (/ (log im) (log 10))))
(log (/ (log im) (log 10)))
(/ (log im) (log 10))
(log im)
im
(log 10)
10

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

localize165.0ms (2.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.9%	(log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
✓	accuracy	99.3%	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
✓	accuracy	98.8%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (log.f64 im))
✓	accuracy	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (log.f64 im))
✓	accuracy	99.2%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 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 (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)))
✓	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

94.0ms	192×	0	valid
25.0ms	64×	0	invalid

Compiler

Compiled 146 to 26 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-log: 18.0ms (35% of total)

ival-div: 13.0ms (25.3% of total)

ival-pow: 9.0ms (17.5% of total)

...c/correct-round.rkt:119:19: 4.0ms (7.8% of total)

ival-mult: 3.0ms (5.8% of total)

ival-exp: 2.0ms (3.9% of total)

const: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

series118.0ms (1.6%)

Counts

17 → 144

Calls

Call 1

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

Outputs
#<alt (/ (log im) (log 1/10))>
#<alt (/ (log im) (log 1/10))>
#<alt (/ (log im) (log 1/10))>
#<alt (/ (log im) (log 1/10))>
#<alt (* -1 (/ (log (/ 1 im)) (log 1/10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 1/10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 1/10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 1/10)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))>
#<alt (/ (+ (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 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))>
#<alt (* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))>
#<alt (* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))>
#<alt (* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (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 (/ (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 10) (log im))>
#<alt (/ (log 10) (log im))>
#<alt (/ (log 10) (log im))>
#<alt (/ (log 10) (log im))>
#<alt (* -1 (/ (log 10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 10) (log (/ 1 im))))>
#<alt (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 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 (/ (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 (/ (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 (/ (log im) (log 10)))>
#<alt (log (/ (log im) (log 10)))>
#<alt (log (/ (log im) (log 10)))>
#<alt (log (/ (log im) (log 10)))>
#<alt (log (* -1 (/ (log (/ 1 im)) (log 10))))>
#<alt (log (* -1 (/ (log (/ 1 im)) (log 10))))>
#<alt (log (* -1 (/ (log (/ 1 im)) (log 10))))>
#<alt (log (* -1 (/ (log (/ 1 im)) (log 10))))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 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))>

Calls

36 calls:

Time	Variable		Point	Expression
79.0ms	im	@	0	(log (/ (log im) (log 10)))
18.0ms	im	@	-inf	(log (/ (log im) (log 10)))
16.0ms	im	@	inf	(log (/ (log im) (log 10)))
1.0ms	im	@	-inf	(/ 1 (log im))
0.0ms	im	@	inf	(/ 1 (log im))

rewrite335.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

290×	`-lowering-.f32`
290×	`-lowering-.f64`
288×	`/-lowering-/.f32`
288×	`/-lowering-/.f64`
68×	`frac-2neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	84
1	109	72
0	564	72

Stop Event

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

Counts

17 → 280

Calls

Call 1

Inputs
(/ (pow (log 1/10) 2) (/ (pow (log 1/10) 3) (log im)))
(neg (/ (pow (log 1/10) 2) (/ (pow (log 1/10) 3) (log im))))
(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 10)))
(* (/ 1 (log im)) (log 10))
(/ 1 (log im))
(/ (/ 1 (/ 1 (log im))) (log 10))
(/ 1 (/ 1 (log im)))
(exp (log (/ (log im) (log 10))))
(log (/ (log im) (log 10)))
(/ (log im) (log 10))
(pow (log 1/10) 3)

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

simplify122.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1276×	`fnmadd-define`
898×	`fma-define`
814×	`sum3-define`
776×	`fmsub-define`
766×	`fnmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	948
1	78	900
2	133	888
3	286	888
4	727	884
5	1583	884
6	2868	884
7	4051	884
8	4761	884
9	4801	884
10	4820	884
11	4828	884
0	4828	884

Stop Event

1×	iter limit
1×	saturated

Counts

144 → 144

Calls

Call 1

Inputs
(/ (log im) (log 1/10))
(/ (log im) (log 1/10))
(/ (log im) (log 1/10))
(/ (log im) (log 1/10))
(* -1 (/ (log (/ 1 im)) (log 1/10)))
(* -1 (/ (log (/ 1 im)) (log 1/10)))
(* -1 (/ (log (/ 1 im)) (log 1/10)))
(* -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 1/10))
(/ (+ (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 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))
(* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))
(* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))
(* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (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))))
(/ (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 10) (log im))
(/ (log 10) (log im))
(/ (log 10) (log im))
(/ (log 10) (log im))
(* -1 (/ (log 10) (log (/ 1 im))))
(* -1 (/ (log 10) (log (/ 1 im))))
(* -1 (/ (log 10) (log (/ 1 im))))
(* -1 (/ (log 10) (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)))))
(/ 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 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))))
(/ (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 (/ (log im) (log 10)))
(log (/ (log im) (log 10)))
(log (/ (log im) (log 10)))
(log (/ (log im) (log 10)))
(log (* -1 (/ (log (/ 1 im)) (log 10))))
(log (* -1 (/ (log (/ 1 im)) (log 10))))
(log (* -1 (/ (log (/ 1 im)) (log 10))))
(log (* -1 (/ (log (/ 1 im)) (log 10))))
(log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)))
(log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)))
(log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)))
(log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 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))

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

eval81.0ms (1.1%)

Compiler: Compiled 5823 to 703 computations (87.9% saved)

prune50.0ms (0.7%)

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	571	2	573
Fresh	0	5	5
Picked	1	4	5
Done	0	6	6
Total	572	17	589

Accuracy

100.0%

Counts

589 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.8%	(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	73.2%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))
✓	98.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
	97.8%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 im)))
✓	51.0%	(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 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)))
✓	97.9%	(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.0%	(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
	97.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))
✓	97.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
✓	97.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
	97.8%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
✓	97.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 im))
	73.2%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 im))) #s(literal -1 binary64))))
	98.4%	(.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))
✓	73.4%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))

Compiler

Compiled 590 to 255 computations (56.8% saved)

regimes77.0ms (1.1%)

Counts

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

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

Calls

8 calls:

10.0ms	(+.f64 (.f64 re re) (.f64 im im))
10.0ms	im
10.0ms	(*.f64 im im)
9.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
9.0ms	re

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)

regimes30.0ms (0.4%)

Accuracy

Total -30.6b remaining (-2363.6%)

Threshold costs -30.6b (-2363.6%)

Counts

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

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

Calls

5 calls:

8.0ms	(+.f64 (.f64 re re) (.f64 im im))
7.0ms	re
5.0ms	im
5.0ms	(*.f64 im im)
4.0ms	(*.f64 re re)

Results

Accuracy	Segments	Branch
98.0%	1	`re`
98.0%	1	`im`
98.0%	1	`(+.f64 (.f64 re re) (.f64 im im))`
98.0%	1	`(*.f64 re re)`
98.0%	1	`(*.f64 im im)`

Compiler

Compiled 25 to 15 computations (40% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness327.0ms (4.5%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	15	7
2	17	7
0	17	7
0	263	1436
1	794	1252
2	2676	1188
0	8383	1188

Stop Event

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

Compiler

Compiled 39 to 29 computations (25.6% saved)

preprocess30.0ms (0.4%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 164 to 122 computations (25.6% 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

analyze92.0ms (1.3%)

sample1.1s (14.8%)

preprocess27.0ms (0.4%)

explain114.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize46.0ms (0.6%)

series10.0ms (0.1%)

rewrite271.0ms (3.7%)

simplify325.0ms (4.5%)

eval26.0ms (0.4%)

prune32.0ms (0.4%)

simplify39.0ms (0.5%)

localize241.0ms (3.3%)

series107.0ms (1.5%)

rewrite347.0ms (4.8%)

simplify392.0ms (5.4%)

eval312.0ms (4.3%)

prune308.0ms (4.3%)

simplify149.0ms (2.1%)

localize294.0ms (4.1%)

series132.0ms (1.8%)

rewrite404.0ms (5.6%)

simplify340.0ms (4.7%)

eval326.0ms (4.5%)

prune234.0ms (3.2%)

simplify256.0ms (3.5%)

localize165.0ms (2.3%)

series118.0ms (1.6%)

rewrite335.0ms (4.6%)

simplify122.0ms (1.7%)

eval81.0ms (1.1%)

prune50.0ms (0.7%)

regimes77.0ms (1.1%)

regimes30.0ms (0.4%)

simplify7.0ms (0.1%)

soundness327.0ms (4.5%)

preprocess30.0ms (0.4%)

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