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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze297.0ms (3%)

Memory

27.4MiB live, 484.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample2.4s (24%)

Memory

-74.2MiB live, 2 634.8MiB allocated

Samples

1.8s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult: 548.0ms (37% of total)

ival-log: 276.0ms (18.7% of total)

ival-hypot: 243.0ms (16.4% of total)

ival-atan2: 220.0ms (14.9% of total)

ival-add: 126.0ms (8.5% of total)

ival-div: 52.0ms (3.5% of total)

ival-true: 7.0ms (0.5% of total)

exact: 6.0ms (0.4% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain405.0ms (4.1%)

Memory

-21.3MiB live, 507.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
130	-	-	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	-	`(log.f64 base)`
0	-	-	`(*.f64 re re)`
0	-	-	`(atan2.f64 im re)`
0	-	-	`im`
0	-	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	-	`re`
0	-	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	-	`(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))`
0	-	-	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
0	-	-	`#s(literal 0 binary64)`
0	-	-	`(*.f64 (atan2.f64 im re) #s(literal 0 binary64))`
0	-	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))`
0	-	-	`(*.f64 im im)`
0	-	-	`base`
0	-	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	oflow-rescue	108	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	108
↳	`(*.f64 re re)`	overflow	64
↳	`(*.f64 im im)`	overflow	63
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	22	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	22
↳	`(*.f64 re re)`	underflow	72
↳	`(*.f64 im im)`	underflow	55

Confusion

	Predicted +	Predicted -
+	130	0
-	0	126

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	0	0	126

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	126
1	130

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

114.0ms

512×

valid

Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 31.0ms (34.1% of total)

ival-add: 23.0ms (25.3% of total)

ival-log: 20.0ms (22% of total)

ival-hypot: 9.0ms (9.9% of total)

ival-atan2: 4.0ms (4.4% of total)

ival-div: 3.0ms (3.3% of total)

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

ival-assert: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess293.0ms (3%)

Memory

26.2MiB live, 274.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	189
1	214	171
2	625	128
3	1578	113
4	3124	113
5	6399	113
0	18	26
0	34	20
1	64	18
2	169	14
3	403	12
4	768	12
5	1742	12
6	3653	12
7	4449	12
8	4935	12
9	4954	12
10	4961	12
11	6898	12
12	7336	12
13	7354	12
14	7354	12
15	7354	12
16	7674	12
0	8866	7

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs im)

(abs re)

(sort re im)

Compiler

Compiled 28 to 18 computations (35.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

50.4%

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify303.0ms (3.1%)

Memory

-25.7MiB live, 211.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	2	(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
cost-diff	4	(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
cost-diff	4	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
cost-diff	6	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	34	95
1	64	93
2	169	89
3	403	87
4	768	87
5	1742	87
6	3653	87
7	4449	87
8	4935	87
9	4954	87
10	4961	87
11	6898	87
12	7336	87
13	7354	87
14	7354	87
15	7354	87
16	7674	87
0	8866	61

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

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

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

localize75.0ms (0.8%)

Memory

-8.0MiB live, 95.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.33984375	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy	0.3671875	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
accuracy	0.502285009768442	(*.f64 (log.f64 base) (log.f64 base))
accuracy	30.305430425406136	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

62.0ms

256×

valid

Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions

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

ival-atan2: 28.0ms (55.3% of total)

ival-mult: 7.0ms (13.8% of total)

ival-log: 6.0ms (11.8% of total)

ival-hypot: 5.0ms (9.9% of total)

ival-add: 3.0ms (5.9% of total)

ival-div: 1.0ms (2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series181.0ms (1.8%)

Memory

4.8MiB live, 189.5MiB allocated

Counts

6 → 80

Calls

Call 1

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

Outputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
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)))))
0
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
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 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -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))))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ 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)))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* 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 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -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 base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(pow (log base) 2)
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(pow (log (/ 1 base)) 2)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)

Calls

9 calls:

Time	Variable		Point	Expression
86.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
47.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
34.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
3.0ms	im	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
3.0ms	re	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))

simplify474.0ms (4.8%)

Memory

-5.8MiB live, 299.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	1777
1	930	1774
2	3622	1662
0	8312	1538

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 78

Calls

Call 1

Inputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
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)))))
0
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
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 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -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))))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ 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)))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* 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 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -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 base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(pow (log base) 2)
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(pow (log (/ 1 base)) 2)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)

Outputs
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64) (log.f64 im)) (log.f64 base))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (/.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (log.f64 base)) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 re re)) (pow.f64 im #s(literal 6 binary64)))) (log.f64 base)) (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64) (log.f64 im)) (log.f64 base)))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im)
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1/2 binary64)) im) (.f64 re re) 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)))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 5 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (.f64 re re) im))
0
#s(literal 0 binary64)
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (.f64 (/.f64 (log.f64 base) im) (/.f64 #s(literal 1/2 binary64) im))) (.f64 re re) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 re re)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (.f64 (log.f64 im) (log.f64 base))))
(* -1 (/ (log (/ 1 re)) (log base)))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (log.f64 re)) (log.f64 base))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (log.f64 base) re)) (/.f64 im re) (/.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re)) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re)) (log.f64 base)) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (/.f64 (.f64 (*.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64)) (pow.f64 re #s(literal 6 binary64)))) (log.f64 base)))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (/.f64 re re) (.f64 (/.f64 (.f64 im im) re) #s(literal 1/2 binary64)) re)
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64)))) 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 (fma.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) #s(literal 1 binary64)))) re)
(* -1 (* (log base) (log (/ 1 re))))
(*.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(fma.f64 (.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (.f64 im im) re) (*.f64 (log.f64 re) (log.f64 base)))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(fma.f64 (.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (.f64 im im) re) (fma.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))) (.f64 (log.f64 re) (log.f64 base))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 (.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (.f64 im im) re) (fma.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))) (.f64 (log.f64 re) (log.f64 base)))))
(* -1 (/ (log (/ -1 re)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(/.f64 (fma.f64 (*.f64 (/.f64 im re) (/.f64 im re)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))) (log.f64 base))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(-.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (log.f64 base)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))) (log.f64 base)) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (/.f64 (.f64 (*.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64)) (pow.f64 re #s(literal 6 binary64)))) (log.f64 base)))
(* -1 re)
(neg.f64 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) re) (/.f64 (.f64 im im) re) #s(literal -1 binary64)) re)
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(.f64 (neg.f64 re) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) #s(literal 1 binary64))))
(* -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 (neg.f64 re) (fma.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) #s(literal 1 binary64)))))
(* -1 (* (log base) (log (/ -1 re))))
(*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(fma.f64 (.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (.f64 im im) re) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(fma.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (.f64 im im) re) (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (.f64 im im) re) (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) re))))))
(/ (log re) (log base))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (log.f64 re)) (log.f64 base))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(fma.f64 (/.f64 (fma.f64 (.f64 im (/.f64 im (pow.f64 re #s(literal 4 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 re re))) (log.f64 base)) (*.f64 im im) (/.f64 (log.f64 re) (log.f64 base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 im im)) (pow.f64 re #s(literal 6 binary64)))) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (log.f64 re)) (log.f64 base)))
(+ re (* 1/2 (/ (pow im 2) re)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 im im) re)
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) re) (/.f64 (.f64 im im) re) #s(literal 1/2 binary64)) re) (.f64 im im) 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)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 im (/.f64 im (pow.f64 re #s(literal 5 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (.f64 im im) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re)
(* (log base) (log re))
(*.f64 (log.f64 re) (log.f64 base))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(fma.f64 (.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (.f64 im im) re) (*.f64 (log.f64 re) (log.f64 base)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 im im)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))) (.f64 (/.f64 (log.f64 base) re) (/.f64 #s(literal 1/2 binary64) re))) (.f64 im im) (*.f64 (log.f64 re) (log.f64 base)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 im im)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (log.f64 base)) (pow.f64 re #s(literal 4 binary64)))) (.f64 im im) (.f64 (/.f64 (log.f64 base) re) (/.f64 #s(literal 1/2 binary64) re))) (.f64 im im) (*.f64 (log.f64 re) (log.f64 base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64) (log.f64 im)) (log.f64 base))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64) (log.f64 im)) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 im)) (log.f64 base)) (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64))) (log.f64 base)))
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(.f64 (fma.f64 (/.f64 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64)) im)
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64))) 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 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) im)
(* -1 (* (log base) (log (/ 1 im))))
(*.f64 (log.f64 im) (log.f64 base))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (fma.f64 (log.f64 im) (log.f64 base) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (fma.f64 (log.f64 im) (log.f64 base) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (.f64 (/.f64 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64))) (log.f64 base)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)) (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64))) (log.f64 base)))
(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal -1 binary64)) im)
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(.f64 (neg.f64 im) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(* -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 (neg.f64 im) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(* -1 (* (log base) (log (/ -1 im))))
(*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (fma.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 im re)))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))

rewrite197.0ms (2%)

Memory

-4.2MiB live, 231.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
0	34	56
1	121	54
2	909	51
0	9422	31

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 485

Calls

Call 1

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

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

eval178.0ms (1.8%)

Memory: 23.5MiB live, 220.9MiB allocated
Compiler: Compiled 15 594 to 1 399 computations (91% saved)

prune60.0ms (0.6%)

Memory

-30.0MiB live, 70.2MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	468	21	489
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	469	21	490

Accuracy

100.0%

Counts

490 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.4%	(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base)) (log.f64 base))
	50.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	50.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	50.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	2.7%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (log.f64 (pow.f64 base (log.f64 base))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.1%	(/.f64 (.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.0%	(/.f64 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.0%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))))
	99.1%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
	99.1%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
	99.1%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
▶	99.1%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	99.2%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.6%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.8%	(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.2%	(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.3%	(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.3%	(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
▶	99.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
▶	98.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))

Compiler

Compiled 970 to 672 computations (30.7% saved)

simplify285.0ms (2.9%)

Memory

14.9MiB live, 438.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	2	(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
cost-diff	2	(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
cost-diff	6	(/.f64 (.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
cost-diff	7	(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
cost-diff	0	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
cost-diff	3	(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
cost-diff	2	(+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
cost-diff	2	(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
cost-diff	4	(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
cost-diff	4	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
cost-diff	0	(log.f64 base)
cost-diff	0	(log.f64 im)
cost-diff	0	(/.f64 (log.f64 im) (log.f64 base))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
cost-diff	0	(hypot.f64 im re)
cost-diff	0	(log.f64 (hypot.f64 im re))
cost-diff	0	(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	352
0	87	256
1	144	250
2	312	236
3	803	232
4	3088	232
0	9085	231

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(log.f64 base)
base
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
(atan2.f64 im re)
#s(literal 0 binary64)
(+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log.f64 base)
base
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (log.f64 base) #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 (.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re)))
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
#s(literal 2 binary64)
(log.f64 base)
base
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (log.f64 (hypot.f64 im re)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(log.f64 (hypot.f64 im re))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(hypot.f64 im re)
(+.f64 (.f64 re re) (.f64 im im))
(fma.f64 im im (*.f64 re re))
(*.f64 re re)
re
(*.f64 im im)
im
(log.f64 base)
base
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
#s(literal 0 binary64)
(atan2.f64 im re)
#s(literal 0 binary64)
(+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (log.f64 (hypot.f64 im re)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log.f64 base)
base
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (log.f64 base) #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 (.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re)))
(log.f64 (hypot.f64 im re))
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
#s(literal 2 binary64)
(log.f64 base)
base
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)

localize149.0ms (1.5%)

Memory

8.2MiB live, 295.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3671875	(*.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))
accuracy	0.502285009768442	(*.f64 (log.f64 base) (log.f64 base))
accuracy	0.5234375	(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re)))
accuracy	0.5241012695368841	(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))
accuracy	0.35775375976844204	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
accuracy	0.3671875	(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
accuracy	0.9277843263380797	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	1.2138035023128064	(pow.f64 (log.f64 base) #s(literal 6 binary64))
accuracy	0.33984375	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy	0.3671875	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
accuracy	0.9277843263380797	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	30.305430425406136	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
accuracy	0.0	(log.f64 im)
accuracy	0.0	(log.f64 base)
accuracy	0.338886279305326	(/.f64 (log.f64 im) (log.f64 base))
accuracy	0.3501732682998512	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
accuracy	0.0	(log.f64 (hypot.f64 im re))
accuracy	0.0	(log.f64 base)
accuracy	0.0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
accuracy	0.338886279305326	(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))

Samples

98.0ms

256×

valid

Compiler

Compiled 441 to 40 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-log: 15.0ms (20.1% of total)

ival-mult: 14.0ms (18.7% of total)

ival-div: 13.0ms (17.4% of total)

ival-hypot: 12.0ms (16% of total)

ival-add: 7.0ms (9.4% of total)

ival-pow: 7.0ms (9.4% of total)

ival-atan2: 2.0ms (2.7% of total)

ival-sqrt: 2.0ms (2.7% of total)

ival-pow2: 2.0ms (2.7% of total)

exact: 1.0ms (1.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series359.0ms (3.7%)

Memory

4.8MiB live, 506.1MiB allocated

Counts

26 → 168

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
(log.f64 base)
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re)))
(/.f64 (.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (log.f64 base) #s(literal 6 binary64))
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))

Outputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(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))))))
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)))))
0
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* (pow (log base) 5) (log im))
(+ (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2))) (* (pow (log base) 5) (log im)))
(+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 5)) (pow im 4))) (* 1/2 (/ (pow (log base) 5) (pow im 2))))) (* (pow (log base) 5) (log im)))
(+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 5) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 5) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 5)) (pow im 6))))))) (* (pow (log base) 5) (log im)))
(pow (log im) 2)
(+ (/ (* (pow re 2) (log im)) (pow im 2)) (pow (log im) 2))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log im) (pow im 4))) (+ (* 1/4 (/ 1 (pow im 4))) (* (pow re 2) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -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))))))
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 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (pow (log base) 5) (log (/ 1 re))))
(+ (* -1 (* (pow (log base) 5) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 5)) (pow re 2))))
(+ (* -1 (* (pow (log base) 5) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 5)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 5)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 5) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 5)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 5) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 5)) (pow re 2))))))
(pow (log (/ 1 re)) 2)
(+ (* -1 (/ (* (pow im 2) (log (/ 1 re))) (pow re 2))) (pow (log (/ 1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (log (/ 1 re))) (pow re 2))) (+ (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/2 (/ (* (pow im 4) (log (/ 1 re))) (pow re 4))) (pow (log (/ 1 re)) 2))))
(+ (* -1 (/ (* (pow im 2) (log (/ 1 re))) (pow re 2))) (+ (* -1/4 (/ (pow im 6) (pow re 6))) (+ (* -1/360 (/ (* (log (/ 1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (+ (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/2 (/ (* (pow im 4) (log (/ 1 re))) (pow re 4))) (pow (log (/ 1 re)) 2))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -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 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))))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (pow (log base) 5) (log (/ -1 re))))
(+ (* -1 (* (pow (log base) 5) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 5)) (pow re 2))))
(+ (* -1 (* (pow (log base) 5) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 5)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 5)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 5) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 5)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 5) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 5)) (pow re 2))))))
(pow (log (/ -1 re)) 2)
(+ (* -1 (/ (* (pow im 2) (log (/ -1 re))) (pow re 2))) (pow (log (/ -1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (log (/ -1 re))) (pow re 2))) (+ (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/2 (/ (* (pow im 4) (log (/ -1 re))) (pow re 4))) (pow (log (/ -1 re)) 2))))
(+ (* -1 (/ (* (pow im 2) (log (/ -1 re))) (pow re 2))) (+ (* -1/4 (/ (pow im 6) (pow re 6))) (+ (* -1/360 (/ (* (log (/ -1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (+ (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/2 (/ (* (pow im 4) (log (/ -1 re))) (pow re 4))) (pow (log (/ -1 re)) 2))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(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))))))
(+ 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)))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* (pow (log base) 5) (log re))
(+ (* 1/2 (/ (* (pow im 2) (pow (log base) 5)) (pow re 2))) (* (pow (log base) 5) (log re)))
(+ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (pow (log base) 5)) (pow re 4))) (* 1/2 (/ (pow (log base) 5) (pow re 2))))) (* (pow (log base) 5) (log re)))
(+ (* (pow im 2) (+ (* 1/2 (/ (pow (log base) 5) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow (log base) 5) (pow re 4))) (* 1/6 (/ (* (pow im 2) (pow (log base) 5)) (pow re 6))))))) (* (pow (log base) 5) (log re)))
(pow (log re) 2)
(+ (/ (* (pow im 2) (log re)) (pow re 2)) (pow (log re) 2))
(+ (* (pow im 2) (+ (* (pow im 2) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4))))) (/ (log re) (pow re 2)))) (pow (log re) 2))
(+ (* (pow im 2) (+ (* (pow im 2) (+ (* -1/2 (/ (log re) (pow re 4))) (+ (* 1/4 (/ 1 (pow re 4))) (* (pow im 2) (- (* 1/3 (/ (log re) (pow re 6))) (* 1/4 (/ 1 (pow re 6)))))))) (/ (log re) (pow re 2)))) (pow (log re) 2))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -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 (+ 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 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (pow (log base) 5) (log (/ 1 im))))
(+ (* -1 (* (pow (log base) 5) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2))))
(+ (* -1 (* (pow (log base) 5) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 5)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 5) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 5)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 5) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2))))))
(pow (log (/ 1 im)) 2)
(+ (* -1 (/ (* (pow re 2) (log (/ 1 im))) (pow im 2))) (pow (log (/ 1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (log (/ 1 im))) (pow im 2))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ 1 im))) (pow im 4))) (pow (log (/ 1 im)) 2))))
(+ (* -1 (/ (* (pow re 2) (log (/ 1 im))) (pow im 2))) (+ (* -1/4 (/ (pow re 6) (pow im 6))) (+ (* -1/360 (/ (* (log (/ 1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ 1 im))) (pow im 4))) (pow (log (/ 1 im)) 2))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -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 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))))))))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(+ (log -1) (* -1 (log (/ -1 im))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (pow (log base) 5) (log (/ -1 im))))
(+ (* -1 (* (pow (log base) 5) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2))))
(+ (* -1 (* (pow (log base) 5) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 5)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 5) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 5)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 5) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2))))))
(pow (log (/ -1 im)) 2)
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (pow (log (/ -1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ -1 im))) (pow im 4))) (pow (log (/ -1 im)) 2))))
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* -1/4 (/ (pow re 6) (pow im 6))) (+ (* -1/360 (/ (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ -1 im))) (pow im 4))) (pow (log (/ -1 im)) 2))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(log base)
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(pow (log base) 2)
(* (pow (log base) 5) (log (sqrt (+ (pow im 2) (pow re 2)))))
(pow (log base) 4)
(pow (log base) 6)
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(pow (log (/ 1 base)) 2)
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 5)))
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 6)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)

Calls

9 calls:

Time	Variable		Point	Expression
115.0ms	im	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4)) (pow (log base) 6)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log (sqrt (+ (* im im) (* re re))))) (/ (* (/ (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log (sqrt (+ (* im im) (* re re))))) (log base)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log base) (log base)) (* 0 0)) (* 0 0) (pow (log base) 4) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (pow (log base) 6) (pow (log (sqrt (+ (* im im) (* re re)))) 2) (* (log base) (log base)) (* (/ (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log (sqrt (+ (* im im) (* re re))))) (log base)))
98.0ms	im	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4)) (pow (log base) 6)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log (sqrt (+ (* im im) (* re re))))) (/ (* (/ (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log (sqrt (+ (* im im) (* re re))))) (log base)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log base) (log base)) (* 0 0)) (* 0 0) (pow (log base) 4) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (pow (log base) 6) (pow (log (sqrt (+ (* im im) (* re re)))) 2) (* (log base) (log base)) (* (/ (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log (sqrt (+ (* im im) (* re re))))) (log base)))
41.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4)) (pow (log base) 6)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log (sqrt (+ (* im im) (* re re))))) (/ (* (/ (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log (sqrt (+ (* im im) (* re re))))) (log base)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log base) (log base)) (* 0 0)) (* 0 0) (pow (log base) 4) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (pow (log base) 6) (pow (log (sqrt (+ (* im im) (* re re)))) 2) (* (log base) (log base)) (* (/ (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log (sqrt (+ (* im im) (* re re))))) (log base)))
26.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4)) (pow (log base) 6)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log (sqrt (+ (* im im) (* re re))))) (/ (* (/ (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log (sqrt (+ (* im im) (* re re))))) (log base)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log base) (log base)) (* 0 0)) (* 0 0) (pow (log base) 4) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (pow (log base) 6) (pow (log (sqrt (+ (* im im) (* re re)))) 2) (* (log base) (log base)) (* (/ (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log (sqrt (+ (* im im) (* re re))))) (log base)))
24.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4)) (pow (log base) 6)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log (sqrt (+ (* im im) (* re re))))) (/ (* (/ (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log (sqrt (+ (* im im) (* re re))))) (log base)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log base) (log base)) (* 0 0)) (* 0 0) (pow (log base) 4) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (pow (log base) 6) (pow (log (sqrt (+ (* im im) (* re re)))) 2) (* (log base) (log base)) (* (/ (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log (sqrt (+ (* im im) (* re re))))) (log base)))

simplify230.0ms (2.3%)

Memory

61.0MiB live, 334.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	583	3888
1	1837	3721
2	7515	3634
0	8035	3390

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 166

Calls

Call 1

Inputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(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))))))
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)))))
0
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* (pow (log base) 5) (log im))
(+ (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2))) (* (pow (log base) 5) (log im)))
(+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 5)) (pow im 4))) (* 1/2 (/ (pow (log base) 5) (pow im 2))))) (* (pow (log base) 5) (log im)))
(+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 5) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 5) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 5)) (pow im 6))))))) (* (pow (log base) 5) (log im)))
(pow (log im) 2)
(+ (/ (* (pow re 2) (log im)) (pow im 2)) (pow (log im) 2))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log im) (pow im 4))) (+ (* 1/4 (/ 1 (pow im 4))) (* (pow re 2) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -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))))))
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 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (pow (log base) 5) (log (/ 1 re))))
(+ (* -1 (* (pow (log base) 5) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 5)) (pow re 2))))
(+ (* -1 (* (pow (log base) 5) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 5)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 5)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 5) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 5)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 5) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 5)) (pow re 2))))))
(pow (log (/ 1 re)) 2)
(+ (* -1 (/ (* (pow im 2) (log (/ 1 re))) (pow re 2))) (pow (log (/ 1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (log (/ 1 re))) (pow re 2))) (+ (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/2 (/ (* (pow im 4) (log (/ 1 re))) (pow re 4))) (pow (log (/ 1 re)) 2))))
(+ (* -1 (/ (* (pow im 2) (log (/ 1 re))) (pow re 2))) (+ (* -1/4 (/ (pow im 6) (pow re 6))) (+ (* -1/360 (/ (* (log (/ 1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (+ (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/2 (/ (* (pow im 4) (log (/ 1 re))) (pow re 4))) (pow (log (/ 1 re)) 2))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -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 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))))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (pow (log base) 5) (log (/ -1 re))))
(+ (* -1 (* (pow (log base) 5) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 5)) (pow re 2))))
(+ (* -1 (* (pow (log base) 5) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 5)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 5)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 5) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 5)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 5) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 5)) (pow re 2))))))
(pow (log (/ -1 re)) 2)
(+ (* -1 (/ (* (pow im 2) (log (/ -1 re))) (pow re 2))) (pow (log (/ -1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (log (/ -1 re))) (pow re 2))) (+ (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/2 (/ (* (pow im 4) (log (/ -1 re))) (pow re 4))) (pow (log (/ -1 re)) 2))))
(+ (* -1 (/ (* (pow im 2) (log (/ -1 re))) (pow re 2))) (+ (* -1/4 (/ (pow im 6) (pow re 6))) (+ (* -1/360 (/ (* (log (/ -1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (+ (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/2 (/ (* (pow im 4) (log (/ -1 re))) (pow re 4))) (pow (log (/ -1 re)) 2))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(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))))))
(+ 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)))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* (pow (log base) 5) (log re))
(+ (* 1/2 (/ (* (pow im 2) (pow (log base) 5)) (pow re 2))) (* (pow (log base) 5) (log re)))
(+ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (pow (log base) 5)) (pow re 4))) (* 1/2 (/ (pow (log base) 5) (pow re 2))))) (* (pow (log base) 5) (log re)))
(+ (* (pow im 2) (+ (* 1/2 (/ (pow (log base) 5) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow (log base) 5) (pow re 4))) (* 1/6 (/ (* (pow im 2) (pow (log base) 5)) (pow re 6))))))) (* (pow (log base) 5) (log re)))
(pow (log re) 2)
(+ (/ (* (pow im 2) (log re)) (pow re 2)) (pow (log re) 2))
(+ (* (pow im 2) (+ (* (pow im 2) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4))))) (/ (log re) (pow re 2)))) (pow (log re) 2))
(+ (* (pow im 2) (+ (* (pow im 2) (+ (* -1/2 (/ (log re) (pow re 4))) (+ (* 1/4 (/ 1 (pow re 4))) (* (pow im 2) (- (* 1/3 (/ (log re) (pow re 6))) (* 1/4 (/ 1 (pow re 6)))))))) (/ (log re) (pow re 2)))) (pow (log re) 2))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -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 (+ 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 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (pow (log base) 5) (log (/ 1 im))))
(+ (* -1 (* (pow (log base) 5) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2))))
(+ (* -1 (* (pow (log base) 5) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 5)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 5) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 5)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 5) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2))))))
(pow (log (/ 1 im)) 2)
(+ (* -1 (/ (* (pow re 2) (log (/ 1 im))) (pow im 2))) (pow (log (/ 1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (log (/ 1 im))) (pow im 2))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ 1 im))) (pow im 4))) (pow (log (/ 1 im)) 2))))
(+ (* -1 (/ (* (pow re 2) (log (/ 1 im))) (pow im 2))) (+ (* -1/4 (/ (pow re 6) (pow im 6))) (+ (* -1/360 (/ (* (log (/ 1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ 1 im))) (pow im 4))) (pow (log (/ 1 im)) 2))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -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 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))))))))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(+ (log -1) (* -1 (log (/ -1 im))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (pow (log base) 5) (log (/ -1 im))))
(+ (* -1 (* (pow (log base) 5) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2))))
(+ (* -1 (* (pow (log base) 5) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 5)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 5) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 5)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 5) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2))))))
(pow (log (/ -1 im)) 2)
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (pow (log (/ -1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ -1 im))) (pow im 4))) (pow (log (/ -1 im)) 2))))
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* -1/4 (/ (pow re 6) (pow im 6))) (+ (* -1/360 (/ (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ -1 im))) (pow im 4))) (pow (log (/ -1 im)) 2))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(log base)
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(pow (log base) 2)
(* (pow (log base) 5) (log (sqrt (+ (pow im 2) (pow re 2)))))
(pow (log base) 4)
(pow (log base) 6)
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(pow (log (/ 1 base)) 2)
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 5)))
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 6)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)

Outputs
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im)) (log.f64 base))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (/.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (log.f64 base)) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (log.f64 base)) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (log.f64 im)) (log.f64 base)))
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(fma.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (*.f64 re re) (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))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (log.f64 im)))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im)
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(fma.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) im)) (.f64 re re) 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)))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 5 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (.f64 re re) im))
0
#s(literal 0 binary64)
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) im) im) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (log.f64 base) im))) (.f64 re re) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 re re)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (log.f64 base) im))) (.f64 re re) (*.f64 (log.f64 im) (log.f64 base)))
(* (pow (log base) 5) (log im))
(*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (log.f64 im))
(+ (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2))) (* (pow (log base) 5) (log im)))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) im) im) (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (log.f64 im)))
(+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 5)) (pow im 4))) (* 1/2 (/ (pow (log base) 5) (pow im 2))))) (* (pow (log base) 5) (log im)))
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(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (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 (fma.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/720 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(.f64 (neg.f64 im) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64)))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(.f64 (neg.f64 im) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64))))
(* -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))))))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 im #s(literal 4 binary64))))) im im))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(* -1 (* (log base) (log (/ -1 im))))
(*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) im) im) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(fma.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) im) im) (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(fma.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) im) im) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))))))
(* -1 (* (pow (log base) 5) (log (/ -1 im))))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (* (pow (log base) 5) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2))))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) im) im) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (* (pow (log base) 5) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 5)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2)))))
(fma.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) im) im) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(+ (* -1 (* (pow (log base) 5) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 5)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 5) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 5)) (pow im 2))))))
(fma.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) im) im) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 im #s(literal 4 binary64)))))))
(pow (log (/ -1 im)) 2)
(pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (pow (log (/ -1 im)) 2))
(fma.f64 (.f64 (neg.f64 re) re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 im im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ -1 im))) (pow im 4))) (pow (log (/ -1 im)) 2))))
(fma.f64 (.f64 (neg.f64 re) re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 im im)) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))))
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* -1/4 (/ (pow re 6) (pow im 6))) (+ (* -1/360 (/ (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ -1 im))) (pow im 4))) (pow (log (/ -1 im)) 2))))))
(fma.f64 (.f64 (neg.f64 re) re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 im im)) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/360 binary64) (.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/4 binary64))) (pow.f64 im #s(literal 6 binary64))) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log base)
(log.f64 base)
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* (pow (log base) 5) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 5 binary64)))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow (log base) 6)
(pow.f64 (log.f64 base) #s(literal 6 binary64))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 5)))
(*.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64))) (log.f64 (hypot.f64 im re)))
(pow (log (/ 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))
(pow (log (/ 1 base)) 6)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 6 binary64))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 im re)))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 5 binary64)) (log.f64 (hypot.f64 im re)))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 6 binary64))

rewrite336.0ms (3.4%)

Memory

-26.0MiB live, 358.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	275
0	87	195
1	246	186
2	1403	169
0	8980	169

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

26 → 1 755

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
(log.f64 base)
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re)))
(/.f64 (.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (log.f64 base) #s(literal 6 binary64))
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (neg.f64 (neg.f64 (log.f64 base)))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(neg.f64 (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 base))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 im re)))) (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 im re)))))
(*.f64 (fabs.f64 (sqrt.f64 (log.f64 (hypot.f64 im re)))) (fabs.f64 (sqrt.f64 (log.f64 (hypot.f64 im re)))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) (sqrt.f64 (log.f64 (hypot.f64 im re))))
(.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (fabs.f64 (log.f64 (fma.f64 im im (.f64 re re)))))
(.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))
(*.f64 (log.f64 (hypot.f64 im re)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))) (neg.f64 (log.f64 (hypot.f64 im re))))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re)))
(neg.f64 (neg.f64 (log.f64 (hypot.f64 im re))))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 (hypot.f64 im re) (hypot.f64 im re))) (log.f64 (hypot.f64 im re)))
(-.f64 (log.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (log.f64 (sqrt.f64 (fma.f64 (.f64 im im) (fma.f64 im im (.f64 re re)) (pow.f64 re #s(literal 4 binary64))))))
(fabs.f64 (neg.f64 (log.f64 (hypot.f64 im re))))
(fabs.f64 (log.f64 (hypot.f64 im re)))
(exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 (log.f64 (hypot.f64 im re)))))
(exp.f64 (log.f64 (log.f64 (hypot.f64 im re))))
(+.f64 (/.f64 (cosh.f64 (.f64 (log.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (log.f64 (hypot.f64 im re))) (/.f64 (sinh.f64 (.f64 (log.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (log.f64 (hypot.f64 im re))))
(+.f64 (log.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64))))
(+.f64 (cosh.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (sinh.f64 (log.f64 (log.f64 (hypot.f64 im re)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 im re) #s(literal -1 binary64))))
(log.f64 (hypot.f64 im re))
(.f64 (neg.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 re im))) (sqrt.f64 (-.f64 (neg.f64 re) (neg.f64 im))))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 re) im)) (sqrt.f64 (-.f64 (neg.f64 re) im)))
(*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 (-.f64 re im)))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 im re))) (sqrt.f64 (-.f64 (neg.f64 im) (neg.f64 re))))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 im) re)) (sqrt.f64 (-.f64 (neg.f64 im) re)))
(*.f64 (sqrt.f64 (+.f64 im re)) (sqrt.f64 (-.f64 im re)))
(.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 (hypot.f64 im re) (hypot.f64 im re))) (neg.f64 (hypot.f64 im re)))
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(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 0 binary64) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (/.f64 #s(literal 0 binary64) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))) (fma.f64 (log.f64 base) (log.f64 (hypot.f64 im re)) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))))
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(/.f64 (+.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))
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(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 4 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 4 binary64)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) #s(literal 0 binary64))) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64))) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (neg.f64 (log.f64 (hypot.f64 im re))))
(/.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re)))
(/.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(/.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))
(neg.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(fma.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 (hypot.f64 im re)) (neg.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 (hypot.f64 im re)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 (hypot.f64 im re)) #s(literal 0 binary64))
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(fma.f64 (/.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 im im (.f64 re re))) (neg.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 im im (.f64 re re))) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (neg.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)) (neg.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 base) (neg.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 base) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (hypot.f64 im re))) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re)) (neg.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (neg.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (neg.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))))
(fma.f64 (log.f64 base) (neg.f64 (log.f64 (hypot.f64 im re))) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(fma.f64 (log.f64 base) (neg.f64 (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 (hypot.f64 im re)) (neg.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))))
(fma.f64 (log.f64 base) (log.f64 (hypot.f64 im re)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(fma.f64 (log.f64 base) (log.f64 (hypot.f64 im re)) #s(literal 0 binary64))
(fma.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))))
(fma.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (neg.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(fma.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 base)) (neg.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))))
(fma.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 base)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(fma.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) (neg.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))))
(fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(-.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (.f64 (neg.f64 (neg.f64 (neg.f64 (atan2.f64 im re)))) #s(literal 0 binary64)))
(-.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(-.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (/.f64 #s(literal 0 binary64) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
(-.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(fabs.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(+.f64 (log.f64 (pow.f64 base (/.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)))) (log.f64 (pow.f64 base (/.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (hypot.f64 im re) (/.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 (pow.f64 (hypot.f64 im re) (/.f64 (log.f64 base) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(+.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (neg.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))))
(+.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(+.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(log.f64 (pow.f64 (pow.f64 base #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))))
(log.f64 (pow.f64 (hypot.f64 im re) (neg.f64 (log.f64 base))))
(log.f64 (pow.f64 (hypot.f64 im re) (log.f64 base)))

eval337.0ms (3.4%)

Memory: 29.2MiB live, 534.2MiB allocated
Compiler: Compiled 67 479 to 5 995 computations (91.1% saved)

prune68.0ms (0.7%)

Memory

-19.4MiB live, 225.3MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	2 029	18	2 047
Fresh	12	4	16
Picked	3	2	5
Done	0	0	0
Total	2 044	24	2 068

Accuracy

100.0%

Counts

2 068 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	2.7%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (log.f64 (pow.f64 base (log.f64 base))))
	99.2%	(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	99.1%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
	98.7%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)))
	99.0%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 18 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))))
	98.6%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.7%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.6%	(/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4)) (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
▶	99.3%	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 (hypot.f64 im re)))
	99.3%	(.f64 (log.f64 (hypot.f64 im re)) (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	99.3%	(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.3%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	73.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base)))
	99.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)))
	73.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (+.f64 (cosh.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (sinh.f64 (log.f64 (log.f64 (hypot.f64 im re))))) (log.f64 base)))
▶	99.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)))
✓	99.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
▶	49.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
✓	98.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	48.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
▶	73.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base)))

Compiler

Compiled 1 270 to 869 computations (31.6% saved)

simplify114.0ms (1.2%)

Memory

41.3MiB live, 315.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 base)
cost-diff	0	(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
cost-diff	0	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
cost-diff	3	(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
cost-diff	0	(log.f64 base)
cost-diff	2	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 (hypot.f64 im re)))
cost-diff	3	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff	0	(log.f64 (log.f64 (hypot.f64 im re)))
cost-diff	0	(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base)))
cost-diff	2	(exp.f64 (log.f64 (log.f64 (hypot.f64 im re))))
cost-diff	0	(log.f64 im)
cost-diff	0	(/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
cost-diff	5	(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
cost-diff	0	(log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re))
cost-diff	0	(/.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)))
cost-diff	2	(exp.f64 (log.f64 im))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	291
0	72	219
1	139	213
2	353	195
3	1567	189
4	7426	189
0	8735	189

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base))
(log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re))
(hypot.f64 (exp.f64 (log.f64 im)) re)
(exp.f64 (log.f64 im))
(log.f64 im)
im
re
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
(/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
(log.f64 im)
im
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(sqrt.f64 (log.f64 base))
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base)))
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base))
(exp.f64 (log.f64 (log.f64 (hypot.f64 im re))))
(log.f64 (log.f64 (hypot.f64 im re)))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 (hypot.f64 im re)))
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 base)
base
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log.f64 base)
base
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 8 binary64))
#s(literal 8 binary64)
(pow.f64 (log.f64 base) #s(literal 10 binary64))
#s(literal 10 binary64)

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re))
(log.f64 (hypot.f64 im re))
(hypot.f64 (exp.f64 (log.f64 im)) re)
(hypot.f64 im re)
(exp.f64 (log.f64 im))
im
(log.f64 im)
im
re
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(log.f64 base)
(sqrt.f64 (log.f64 base))
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (log.f64 (log.f64 (hypot.f64 im re))))
(log.f64 (hypot.f64 im re))
(log.f64 (log.f64 (hypot.f64 im re)))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 (hypot.f64 im re)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
base
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 (hypot.f64 im re)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 base)
base
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 8 binary64))
#s(literal 8 binary64)
(pow.f64 (log.f64 base) #s(literal 10 binary64))
#s(literal 10 binary64)

localize188.0ms (1.9%)

Memory

-46.8MiB live, 258.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09994125976844202	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
accuracy	0.140625	(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
accuracy	0.5536482041217599	(pow.f64 (log.f64 base) #s(literal 8 binary64))
accuracy	0.5975767724638343	(pow.f64 (log.f64 base) #s(literal 10 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.0859375	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 (hypot.f64 im re)))
accuracy	0.125	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.1796875	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base)))
accuracy	0.02734375	(log.f64 (log.f64 (hypot.f64 im re)))
accuracy	0.11328125	(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base))
accuracy	0.345754028147032	(exp.f64 (log.f64 (log.f64 (hypot.f64 im re))))
accuracy	0.03515625	(sqrt.f64 (log.f64 base))
accuracy	0.109375	(/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
accuracy	0.14621450045522197	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
accuracy	0.174160009768442	(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
accuracy	0.0	(log.f64 base)
accuracy	0.0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)))
accuracy	0.11328125	(/.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base))
accuracy	2.1323936287736363	(exp.f64 (log.f64 im))

Samples

89.0ms	166×	0	invalid
56.0ms	90×	0	valid

Compiler

Compiled 354 to 41 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-log: 17.0ms (20.6% of total)

ival-pow: 17.0ms (20.6% of total)

ival-hypot: 12.0ms (14.5% of total)

ival-div: 11.0ms (13.3% of total)

ival-mult: 10.0ms (12.1% of total)

ival-exp: 6.0ms (7.3% of total)

ival-add: 2.0ms (2.4% of total)

ival-atan2: 2.0ms (2.4% of total)

ival-sqrt: 2.0ms (2.4% of total)

ival-pow2: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series261.0ms (2.7%)

Memory

35.7MiB live, 314.8MiB allocated

Counts

22 → 152

Calls

Call 1

Inputs
(exp.f64 (log.f64 im))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base))
(log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
(/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
(log.f64 im)
(exp.f64 (log.f64 (log.f64 (hypot.f64 im re))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base)))
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base))
(log.f64 (log.f64 (hypot.f64 im re)))
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 (hypot.f64 im re)))
(log.f64 base)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(sqrt.f64 (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 10 binary64))
(pow.f64 (log.f64 base) #s(literal 8 binary64))

Outputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(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))))))
(log (log im))
(+ (log (log im)) (* 1/2 (/ (pow re 2) (* (pow im 2) (log im)))))
(+ (log (log im)) (* (pow re 2) (+ (* -1/24 (* (pow re 2) (+ (* 6 (/ 1 (* (pow im 4) (log im)))) (* 3 (/ 1 (* (pow im 4) (pow (log im) 2))))))) (* 1/2 (/ 1 (* (pow im 2) (log im)))))))
(+ (log (log im)) (* (pow re 2) (+ (* (pow re 2) (+ (* -1/24 (+ (* 6 (/ 1 (* (pow im 4) (log im)))) (* 3 (/ 1 (* (pow im 4) (pow (log im) 2)))))) (* 1/720 (* (pow re 2) (+ (* 90 (/ 1 (* (pow im 6) (pow (log im) 2)))) (+ (* 120 (/ 1 (* (pow im 6) (log im)))) (* 30 (/ 1 (* (pow im 6) (pow (log im) 3)))))))))) (* 1/2 (/ 1 (* (pow im 2) (log im)))))))
(* (pow (log base) 9) (log im))
(+ (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))) (* (pow (log base) 9) (log im)))
(+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (pow (log base) 9) (pow im 2))))) (* (pow (log base) 9) (log im)))
(+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 9) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 9) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 9)) (pow im 6))))))) (* (pow (log base) 9) (log im)))
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -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 (* -1 (log (/ 1 re))))
(+ (log (* -1 (log (/ 1 re)))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re))))))
(+ (log (* -1 (log (/ 1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re))))) (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 6 (/ (pow im 4) (log (/ 1 re))))) (pow re 4)))))
(+ (log (* -1 (log (/ 1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re))))) (+ (* 1/720 (/ (+ (* -30 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (+ (* -1 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (log (/ 1 re)))) (* 90 (/ (pow im 6) (pow (log (/ 1 re)) 2))))) (pow re 6))) (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 6 (/ (pow im 4) (log (/ 1 re))))) (pow re 4))))))
(* -1 (* (pow (log base) 9) (log (/ 1 re))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -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 (* -1 (log (/ -1 re))))
(+ (log (* -1 (log (/ -1 re)))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re))))))
(+ (log (* -1 (log (/ -1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re))))) (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 6 (/ (pow im 4) (log (/ -1 re))))) (pow re 4)))))
(+ (log (* -1 (log (/ -1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re))))) (+ (* 1/720 (/ (+ (* -30 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (+ (* -1 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (log (/ -1 re)))) (* 90 (/ (pow im 6) (pow (log (/ -1 re)) 2))))) (pow re 6))) (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 6 (/ (pow im 4) (log (/ -1 re))))) (pow re 4))))))
(* -1 (* (pow (log base) 9) (log (/ -1 re))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
im
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(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))))))
(log (log re))
(+ (log (log re)) (* 1/2 (/ (pow im 2) (* (pow re 2) (log re)))))
(+ (log (log re)) (* (pow im 2) (+ (* -1/24 (* (pow im 2) (+ (* 6 (/ 1 (* (pow re 4) (log re)))) (* 3 (/ 1 (* (pow re 4) (pow (log re) 2))))))) (* 1/2 (/ 1 (* (pow re 2) (log re)))))))
(+ (log (log re)) (* (pow im 2) (+ (* (pow im 2) (+ (* -1/24 (+ (* 6 (/ 1 (* (pow re 4) (log re)))) (* 3 (/ 1 (* (pow re 4) (pow (log re) 2)))))) (* 1/720 (* (pow im 2) (+ (* 90 (/ 1 (* (pow re 6) (pow (log re) 2)))) (+ (* 120 (/ 1 (* (pow re 6) (log re)))) (* 30 (/ 1 (* (pow re 6) (pow (log re) 3)))))))))) (* 1/2 (/ 1 (* (pow re 2) (log re)))))))
(* (pow (log base) 9) (log re))
(+ (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))) (* (pow (log base) 9) (log re)))
(+ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (pow (log base) 9) (pow re 2))))) (* (pow (log base) 9) (log re)))
(+ (* (pow im 2) (+ (* 1/2 (/ (pow (log base) 9) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow (log base) 9) (pow re 4))) (* 1/6 (/ (* (pow im 2) (pow (log base) 9)) (pow re 6))))))) (* (pow (log base) 9) (log re)))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -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))))))
(log (* -1 (log (/ 1 im))))
(+ (log (* -1 (log (/ 1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ 1 im))))))
(+ (log (* -1 (log (/ 1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ 1 im))))) (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 6 (/ (pow re 4) (log (/ 1 im))))) (pow im 4)))))
(+ (log (* -1 (log (/ 1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ 1 im))))) (+ (* 1/720 (/ (+ (* -30 (/ (pow re 6) (pow (log (/ 1 im)) 3))) (+ (* -1 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log (/ 1 im)))) (* 90 (/ (pow re 6) (pow (log (/ 1 im)) 2))))) (pow im 6))) (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 6 (/ (pow re 4) (log (/ 1 im))))) (pow im 4))))))
(* -1 (* (pow (log base) 9) (log (/ 1 im))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -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))))))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(+ (log -1) (* -1 (log (/ -1 im))))
(log (* -1 (log (/ -1 im))))
(+ (log (* -1 (log (/ -1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))
(+ (log (* -1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))) (pow im 4)))))
(+ (log (* -1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (+ (* 1/720 (/ (+ (* -30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* -1 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log (/ -1 im)))) (* 90 (/ (pow re 6) (pow (log (/ -1 im)) 2))))) (pow im 6))) (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))) (pow im 4))))))
(* -1 (* (pow (log base) 9) (log (/ -1 im))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(log base)
(/ 1 (log base))
(pow (log base) 2)
(* (pow (log base) 9) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(sqrt (log base))
(pow (log base) 10)
(pow (log base) 8)
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(* -1 (/ (log im) (log (/ 1 base))))
(/ -1 (log (/ 1 base)))
(pow (log (/ 1 base)) 2)
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 9)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(pow (log (/ 1 base)) 10)
(pow (log (/ 1 base)) 8)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 9))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 10)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)

Calls

9 calls:

Time	Variable		Point	Expression
90.0ms	base	@	0	((exp (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* (exp (log im)) (exp (log im))) (* re re)))) (log base)) (log (sqrt (+ (* (exp (log im)) (exp (log im))) (* re re)))) (* (sqrt (log base)) (sqrt (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (sqrt (log base)) (sqrt (log base)))) (log im) (exp (log (log (sqrt (+ (* im im) (* re re)))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (exp (log (log (sqrt (+ (* im im) (* re re)))))) (log base)) (log (log (sqrt (+ (* im im) (* re re))))) (/ (log base) (pow (log base) 2)) (* (/ (log base) (pow (log base) 2)) (log (sqrt (+ (* im im) (* re re))))) (log base) (pow (log base) 2) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (sqrt (log base)) (pow (log base) 10) (pow (log base) 8))
53.0ms	base	@	inf	((exp (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* (exp (log im)) (exp (log im))) (* re re)))) (log base)) (log (sqrt (+ (* (exp (log im)) (exp (log im))) (* re re)))) (* (sqrt (log base)) (sqrt (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (sqrt (log base)) (sqrt (log base)))) (log im) (exp (log (log (sqrt (+ (* im im) (* re re)))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (exp (log (log (sqrt (+ (* im im) (* re re)))))) (log base)) (log (log (sqrt (+ (* im im) (* re re))))) (/ (log base) (pow (log base) 2)) (* (/ (log base) (pow (log base) 2)) (log (sqrt (+ (* im im) (* re re))))) (log base) (pow (log base) 2) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (sqrt (log base)) (pow (log base) 10) (pow (log base) 8))
45.0ms	im	@	inf	((exp (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* (exp (log im)) (exp (log im))) (* re re)))) (log base)) (log (sqrt (+ (* (exp (log im)) (exp (log im))) (* re re)))) (* (sqrt (log base)) (sqrt (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (sqrt (log base)) (sqrt (log base)))) (log im) (exp (log (log (sqrt (+ (* im im) (* re re)))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (exp (log (log (sqrt (+ (* im im) (* re re)))))) (log base)) (log (log (sqrt (+ (* im im) (* re re))))) (/ (log base) (pow (log base) 2)) (* (/ (log base) (pow (log base) 2)) (log (sqrt (+ (* im im) (* re re))))) (log base) (pow (log base) 2) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (sqrt (log base)) (pow (log base) 10) (pow (log base) 8))
28.0ms	base	@	-inf	((exp (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* (exp (log im)) (exp (log im))) (* re re)))) (log base)) (log (sqrt (+ (* (exp (log im)) (exp (log im))) (* re re)))) (* (sqrt (log base)) (sqrt (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (sqrt (log base)) (sqrt (log base)))) (log im) (exp (log (log (sqrt (+ (* im im) (* re re)))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (exp (log (log (sqrt (+ (* im im) (* re re)))))) (log base)) (log (log (sqrt (+ (* im im) (* re re))))) (/ (log base) (pow (log base) 2)) (* (/ (log base) (pow (log base) 2)) (log (sqrt (+ (* im im) (* re re))))) (log base) (pow (log base) 2) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (sqrt (log base)) (pow (log base) 10) (pow (log base) 8))
19.0ms	im	@	0	((exp (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* (exp (log im)) (exp (log im))) (* re re)))) (log base)) (log (sqrt (+ (* (exp (log im)) (exp (log im))) (* re re)))) (* (sqrt (log base)) (sqrt (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (sqrt (log base)) (sqrt (log base)))) (log im) (exp (log (log (sqrt (+ (* im im) (* re re)))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (exp (log (log (sqrt (+ (* im im) (* re re)))))) (log base)) (log (log (sqrt (+ (* im im) (* re re))))) (/ (log base) (pow (log base) 2)) (* (/ (log base) (pow (log base) 2)) (log (sqrt (+ (* im im) (* re re))))) (log base) (pow (log base) 2) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (sqrt (log base)) (pow (log base) 10) (pow (log base) 8))

simplify190.0ms (1.9%)

Memory

-1.6MiB live, 282.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	596	3704
1	1844	3579
2	7379	3474
0	8127	3258

Stop Event

1×	iter limit
1×	node limit

Counts

152 → 151

Calls

Call 1

Inputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(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))))))
(log (log im))
(+ (log (log im)) (* 1/2 (/ (pow re 2) (* (pow im 2) (log im)))))
(+ (log (log im)) (* (pow re 2) (+ (* -1/24 (* (pow re 2) (+ (* 6 (/ 1 (* (pow im 4) (log im)))) (* 3 (/ 1 (* (pow im 4) (pow (log im) 2))))))) (* 1/2 (/ 1 (* (pow im 2) (log im)))))))
(+ (log (log im)) (* (pow re 2) (+ (* (pow re 2) (+ (* -1/24 (+ (* 6 (/ 1 (* (pow im 4) (log im)))) (* 3 (/ 1 (* (pow im 4) (pow (log im) 2)))))) (* 1/720 (* (pow re 2) (+ (* 90 (/ 1 (* (pow im 6) (pow (log im) 2)))) (+ (* 120 (/ 1 (* (pow im 6) (log im)))) (* 30 (/ 1 (* (pow im 6) (pow (log im) 3)))))))))) (* 1/2 (/ 1 (* (pow im 2) (log im)))))))
(* (pow (log base) 9) (log im))
(+ (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))) (* (pow (log base) 9) (log im)))
(+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (pow (log base) 9) (pow im 2))))) (* (pow (log base) 9) (log im)))
(+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 9) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 9) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 9)) (pow im 6))))))) (* (pow (log base) 9) (log im)))
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (log (/ 1 re)))
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(+ (* -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 (* -1 (log (/ 1 re))))
(+ (log (* -1 (log (/ 1 re)))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re))))))
(+ (log (* -1 (log (/ 1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re))))) (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 6 (/ (pow im 4) (log (/ 1 re))))) (pow re 4)))))
(+ (log (* -1 (log (/ 1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re))))) (+ (* 1/720 (/ (+ (* -30 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (+ (* -1 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (log (/ 1 re)))) (* 90 (/ (pow im 6) (pow (log (/ 1 re)) 2))))) (pow re 6))) (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 6 (/ (pow im 4) (log (/ 1 re))))) (pow re 4))))))
(* -1 (* (pow (log base) 9) (log (/ 1 re))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -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 (* -1 (log (/ -1 re))))
(+ (log (* -1 (log (/ -1 re)))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re))))))
(+ (log (* -1 (log (/ -1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re))))) (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 6 (/ (pow im 4) (log (/ -1 re))))) (pow re 4)))))
(+ (log (* -1 (log (/ -1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re))))) (+ (* 1/720 (/ (+ (* -30 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (+ (* -1 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (log (/ -1 re)))) (* 90 (/ (pow im 6) (pow (log (/ -1 re)) 2))))) (pow re 6))) (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 6 (/ (pow im 4) (log (/ -1 re))))) (pow re 4))))))
(* -1 (* (pow (log base) 9) (log (/ -1 re))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
im
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(log re)
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(+ (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))))))
(log (log re))
(+ (log (log re)) (* 1/2 (/ (pow im 2) (* (pow re 2) (log re)))))
(+ (log (log re)) (* (pow im 2) (+ (* -1/24 (* (pow im 2) (+ (* 6 (/ 1 (* (pow re 4) (log re)))) (* 3 (/ 1 (* (pow re 4) (pow (log re) 2))))))) (* 1/2 (/ 1 (* (pow re 2) (log re)))))))
(+ (log (log re)) (* (pow im 2) (+ (* (pow im 2) (+ (* -1/24 (+ (* 6 (/ 1 (* (pow re 4) (log re)))) (* 3 (/ 1 (* (pow re 4) (pow (log re) 2)))))) (* 1/720 (* (pow im 2) (+ (* 90 (/ 1 (* (pow re 6) (pow (log re) 2)))) (+ (* 120 (/ 1 (* (pow re 6) (log re)))) (* 30 (/ 1 (* (pow re 6) (pow (log re) 3)))))))))) (* 1/2 (/ 1 (* (pow re 2) (log re)))))))
(* (pow (log base) 9) (log re))
(+ (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))) (* (pow (log base) 9) (log re)))
(+ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (pow (log base) 9) (pow re 2))))) (* (pow (log base) 9) (log re)))
(+ (* (pow im 2) (+ (* 1/2 (/ (pow (log base) 9) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow (log base) 9) (pow re 4))) (* 1/6 (/ (* (pow im 2) (pow (log base) 9)) (pow re 6))))))) (* (pow (log base) 9) (log re)))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (log (/ 1 im)))
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(+ (* -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))))))
(log (* -1 (log (/ 1 im))))
(+ (log (* -1 (log (/ 1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ 1 im))))))
(+ (log (* -1 (log (/ 1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ 1 im))))) (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 6 (/ (pow re 4) (log (/ 1 im))))) (pow im 4)))))
(+ (log (* -1 (log (/ 1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ 1 im))))) (+ (* 1/720 (/ (+ (* -30 (/ (pow re 6) (pow (log (/ 1 im)) 3))) (+ (* -1 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log (/ 1 im)))) (* 90 (/ (pow re 6) (pow (log (/ 1 im)) 2))))) (pow im 6))) (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 6 (/ (pow re 4) (log (/ 1 im))))) (pow im 4))))))
(* -1 (* (pow (log base) 9) (log (/ 1 im))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))))
(* -1 (* (log base) (log (/ 1 im))))
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(* -1 (/ (log (/ -1 im)) (log base)))
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(* -1 (log (/ -1 im)))
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(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
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(log (* -1 (log (/ -1 im))))
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(* -1 (* (pow (log base) 9) (log (/ -1 im))))
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(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(log base)
(/ 1 (log base))
(pow (log base) 2)
(* (pow (log base) 9) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(sqrt (log base))
(pow (log base) 10)
(pow (log base) 8)
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(* -1 (/ (log im) (log (/ 1 base))))
(/ -1 (log (/ 1 base)))
(pow (log (/ 1 base)) 2)
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 9)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(pow (log (/ 1 base)) 10)
(pow (log (/ 1 base)) 8)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 9))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 10)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)

Outputs
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im)) (log.f64 base))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (/.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (log.f64 base)) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (log.f64 base)) (.f64 re re) (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (.f64 im im))) (.f64 re re) (/.f64 (log.f64 im) (log.f64 base)))
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(fma.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (*.f64 re re) (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))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 re re) (log.f64 im))
(log (log im))
(log.f64 (log.f64 im))
(+ (log (log im)) (* 1/2 (/ (pow re 2) (* (pow im 2) (log im)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 im)) (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 (log.f64 im)))
(+ (log (log im)) (* (pow re 2) (+ (* -1/24 (* (pow re 2) (+ (* 6 (/ 1 (* (pow im 4) (log im)))) (* 3 (/ 1 (* (pow im 4) (pow (log im) 2))))))) (* 1/2 (/ 1 (* (pow im 2) (log im)))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 re re)) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (log.f64 im))) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 im)) (.f64 im im))) (.f64 re re) (log.f64 (log.f64 im)))
(+ (log (log im)) (* (pow re 2) (+ (* (pow re 2) (+ (* -1/24 (+ (* 6 (/ 1 (* (pow im 4) (log im)))) (* 3 (/ 1 (* (pow im 4) (pow (log im) 2)))))) (* 1/720 (* (pow re 2) (+ (* 90 (/ 1 (* (pow im 6) (pow (log im) 2)))) (+ (* 120 (/ 1 (* (pow im 6) (log im)))) (* 30 (/ 1 (* (pow im 6) (pow (log im) 3)))))))))) (* 1/2 (/ 1 (* (pow im 2) (log im)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 re re)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (/.f64 #s(literal 120 binary64) (log.f64 im))) (pow.f64 im #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 90 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (pow.f64 im #s(literal 6 binary64)))) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (log.f64 im))) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/24 binary64))) (.f64 re re) (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 im)) (.f64 im im))) (.f64 re re) (log.f64 (log.f64 im)))
(* (pow (log base) 9) (log im))
(*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 im))
(+ (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))) (* (pow (log base) 9) (log im)))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) im) im) (*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 im)))
(+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (pow (log base) 9) (pow im 2))))) (* (pow (log base) 9) (log im)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) im) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (pow.f64 im #s(literal 4 binary64))))) (.f64 re re) (*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 im)))
(+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 9) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 9) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 9)) (pow im 6))))))) (* (pow (log base) 9) (log im)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 re re)) (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) im))) (.f64 re re) (*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 im)))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) im) im) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (log.f64 base) im))) (.f64 re re) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 re re)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (log.f64 base) im))) (.f64 re re) (*.f64 (log.f64 im) (log.f64 base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) im) im (log.f64 re)) (log.f64 base))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) im) im (log.f64 re)) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re)) (log.f64 base)) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) im) im (/.f64 (.f64 (.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64)) (pow.f64 re #s(literal 6 binary64)))) (log.f64 base)))
(* -1 (log (/ 1 re)))
(log.f64 re)
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) im) im (log.f64 re))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) im) im (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 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))))))
(fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (+.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) im) im (/.f64 (.f64 (.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64)) (pow.f64 re #s(literal 6 binary64)))) (log.f64 re)))
(log (* -1 (log (/ 1 re))))
(log.f64 (log.f64 re))
(+ (log (* -1 (log (/ 1 re)))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 re)) (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 (log.f64 re)))
(+ (log (* -1 (log (/ 1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re))))) (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 6 (/ (pow im 4) (log (/ 1 re))))) (pow re 4)))))
(fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 6 binary64) (pow.f64 im #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 im #s(literal 4 binary64))) (neg.f64 (log.f64 re)))) (neg.f64 (log.f64 re))) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 re)) (.f64 (/.f64 im re) (/.f64 im re)) (log.f64 (log.f64 re))))
(+ (log (* -1 (log (/ 1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re))))) (+ (* 1/720 (/ (+ (* -30 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (+ (* -1 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (log (/ 1 re)))) (* 90 (/ (pow im 6) (pow (log (/ 1 re)) 2))))) (pow re 6))) (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 6 (/ (pow im 4) (log (/ 1 re))))) (pow re 4))))))
(+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64))) (log.f64 re)) (/.f64 (fma.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)) (/.f64 (.f64 #s(literal -30 binary64) (pow.f64 im #s(literal 6 binary64))) (neg.f64 (log.f64 re)))) (pow.f64 (log.f64 re) #s(literal 2 binary64)))) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/720 binary64) (.f64 (/.f64 (/.f64 (fma.f64 #s(literal 6 binary64) (pow.f64 im #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 im #s(literal 4 binary64))) (neg.f64 (log.f64 re)))) (neg.f64 (log.f64 re))) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 re)) (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 (log.f64 re))))
(* -1 (* (pow (log base) 9) (log (/ 1 re))))
(*.f64 (log.f64 re) (pow.f64 (log.f64 base) #s(literal 9 binary64)))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))
(fma.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) re) re) (*.f64 (log.f64 re) (pow.f64 (log.f64 base) #s(literal 9 binary64))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2)))))
(fma.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) re) re) (fma.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 (log.f64 re) (pow.f64 (log.f64 base) #s(literal 9 binary64)))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))))
(fma.f64 (log.f64 re) (pow.f64 (log.f64 base) #s(literal 9 binary64)) (fma.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 (log.f64 base) #s(literal 9 binary64))) (.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) re) re) (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (pow.f64 re #s(literal 4 binary64)))))))
(* -1 (* (log base) (log (/ 1 re))))
(*.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(fma.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) re) re) (*.f64 (log.f64 re) (log.f64 base)))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(fma.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) re) re) (fma.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))) (.f64 (log.f64 re) (log.f64 base))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(fma.f64 (log.f64 re) (log.f64 base) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) re) re) (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(/.f64 (fma.f64 (*.f64 (/.f64 im re) (/.f64 im re)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))) (log.f64 base))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (/.f64 im re) (/.f64 im re)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(+.f64 (/.f64 (fma.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (log.f64 base)) (/.f64 (fma.f64 (*.f64 (/.f64 im re) (/.f64 im re)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))) (log.f64 base)))
(* -1 (log (/ -1 re)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(fma.f64 (*.f64 (/.f64 im re) (/.f64 im re)) #s(literal 1/2 binary64) (neg.f64 (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)))))
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(+ (* -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))))))
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(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) im) im) (*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 im)))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2)))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 im) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) im) im) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 im) (fma.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 (log.f64 base) #s(literal 9 binary64))) (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) im) im) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (pow.f64 im #s(literal 4 binary64)))))))
(* -1 (* (log base) (log (/ 1 im))))
(*.f64 (log.f64 im) (log.f64 base))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) im) im) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(fma.f64 (log.f64 im) (log.f64 base) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) im) im) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(fma.f64 (log.f64 im) (log.f64 base) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) im) im) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(/.f64 (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (/.f64 (.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64)))) (log.f64 base)))
(* -1 (log (/ -1 im)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (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)))))
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (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 (fma.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/720 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(log (* -1 (log (/ -1 im))))
(log.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (log (* -1 (log (/ -1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(+ (log (* -1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))) (pow im 4)))))
(fma.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 6 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 (/.f64 re im) (/.f64 re im)) (log.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))))
(+ (log (* -1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (+ (* 1/720 (/ (+ (* -30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* -1 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log (/ -1 im)))) (* 90 (/ (pow re 6) (pow (log (/ -1 im)) 2))))) (pow im 6))) (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))) (pow im 4))))))
(+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal -30 binary64) (/.f64 (fma.f64 #s(literal 90 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 (/.f64 re im) (/.f64 re im)) (.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 6 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/24 binary64)))) (log.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(* -1 (* (pow (log base) 9) (log (/ -1 im))))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) im) im) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2)))))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) im) im) (fma.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))))
(fma.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 (log.f64 base) #s(literal 9 binary64))) (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) im) im) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (pow.f64 im #s(literal 4 binary64)))))))
(* -1 (* (log base) (log (/ -1 im))))
(*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) im) im) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) im) im) (fma.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(fma.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) im) im) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log base)
(log.f64 base)
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* (pow (log base) 9) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 9 binary64)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(sqrt (log base))
(sqrt.f64 (log.f64 base))
(pow (log base) 10)
(pow.f64 (log.f64 base) #s(literal 10 binary64))
(pow (log base) 8)
(pow.f64 (log.f64 base) #s(literal 8 binary64))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 9)))
(*.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 9 binary64))) (log.f64 (hypot.f64 re im)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 base))))
(pow (log (/ 1 base)) 10)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 10 binary64))
(pow (log (/ 1 base)) 8)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 8 binary64))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 9))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 9 binary64)) (log.f64 (hypot.f64 re im)))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 re im)))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 10)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 10 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 8 binary64))

rewrite187.0ms (1.9%)

Memory

14.9MiB live, 253.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	238
0	72	168
1	255	162
2	1567	141
0	8804	141

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 762

Calls

Call 1

Inputs
(exp.f64 (log.f64 im))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base))
(log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
(/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
(log.f64 im)
(exp.f64 (log.f64 (log.f64 (hypot.f64 im re))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base)))
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base))
(log.f64 (log.f64 (hypot.f64 im re)))
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 (hypot.f64 im re)))
(log.f64 base)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(sqrt.f64 (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 10 binary64))
(pow.f64 (log.f64 base) #s(literal 8 binary64))

Outputs
(*.f64 (pow.f64 im #s(literal 1/2 binary64)) (pow.f64 im #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 im))) (sqrt.f64 (neg.f64 (neg.f64 im))))
(*.f64 (sqrt.f64 (neg.f64 im)) (sqrt.f64 (neg.f64 im)))
(*.f64 (sqrt.f64 im) (sqrt.f64 im))
(pow.f64 (neg.f64 im) #s(literal 1 binary64))
(pow.f64 (*.f64 im im) #s(literal 1/2 binary64))
(pow.f64 im #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 im)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 im)) #s(literal 2 binary64))) (-.f64 (sinh.f64 (log.f64 im)) (cosh.f64 (log.f64 im))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 im)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (log.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 im)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (log.f64 im)) (cosh.f64 (log.f64 im))))))
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(*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 10 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 5 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 20 binary64))
(pow.f64 (log.f64 base) #s(literal 10 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)))) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64))))) (.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)))) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)))) (-.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64))))) (.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64))))))))
(fabs.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 5 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 5 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64) (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64) (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 5 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) #s(literal 20 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 5 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal 16 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal 16 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(pow.f64 (exp.f64 #s(literal 8 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 16 binary64))
(pow.f64 (log.f64 base) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))))) (.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (-.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))))) (.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))))))))
(-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64))
(fabs.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64) (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64) (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64) (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) #s(literal 16 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 4 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(log.f64 (pow.f64 (pow.f64 base (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64))))

eval150.0ms (1.5%)

Memory: -24.1MiB live, 163.7MiB allocated
Compiler: Compiled 24 975 to 2 689 computations (89.2% saved)

prune62.0ms (0.6%)

Memory

-2.5MiB live, 100.6MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	677	20	697
Fresh	12	5	17
Picked	5	0	5
Done	0	2	2
Total	694	27	721

Accuracy

100.0%

Counts

721 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (pow.f64 (log.f64 base) #s(literal 5 binary64)))
	99.0%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
	44.4%	(/.f64 (.f64 (exp.f64 (log.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
	98.6%	(/.f64 (.f64 #s(approx ( (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
	98.6%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.7%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.7%	(/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
	98.6%	(/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4)) (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	49.6%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re)))
	49.5%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re)))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
	99.2%	(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (log.f64 (hypot.f64 im re)))
▶	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 im re)))
▶	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (log.f64 (hypot.f64 im re)))
	49.6%	(.f64 (.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (log.f64 (hypot.f64 im re)))
▶	99.3%	(.f64 (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 (hypot.f64 im re)))
	99.3%	(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.3%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	98.9%	(log.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
▶	73.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base)))
	49.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
	99.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) (log.f64 base)))
✓	99.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
▶	49.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
✓	98.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	48.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
	73.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 #s(approx (log (log (sqrt (+ (* im im) (* re re))))) (log.f64 (log.f64 im)))) (log.f64 base)))

Compiler

Compiled 1 228 to 891 computations (27.4% saved)

simplify302.0ms (3.1%)

Memory

46.0MiB live, 311.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -5 binary64))
cost-diff	0	(*.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
cost-diff	0	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (log.f64 (hypot.f64 im re)))
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	0	(log.f64 base)
cost-diff	2	(.f64 (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 (hypot.f64 im re)))
cost-diff	3	(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
cost-diff	0	(sqrt.f64 (log.f64 (hypot.f64 im re)))
cost-diff	0	(/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base)))
cost-diff	3	(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))
cost-diff	0	(log.f64 im)
cost-diff	0	(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
cost-diff	3	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
cost-diff	0	(log.f64 (hypot.f64 im re))
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
cost-diff	2	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 im re)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	237
0	65	202
1	111	183
2	252	171
3	840	171
4	4213	171
0	8575	171

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 im re)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(log.f64 im)
im
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(sqrt.f64 (log.f64 base))
(log.f64 base)
base
#s(literal 2 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base)))
(/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))
(sqrt.f64 (log.f64 (hypot.f64 im re)))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
#s(literal 2 binary64)
(log.f64 base)
base
(.f64 (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 (hypot.f64 im re)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(log.f64 base)
base
(pow.f64 (log.f64 base) #s(literal -2 binary64))
#s(literal -2 binary64)
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (log.f64 (hypot.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal -5 binary64))
(log.f64 base)
base
#s(literal -5 binary64)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 im re)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
#s(literal 1 binary64)
(log.f64 base)
base
(log.f64 (hypot.f64 im re))
(log.f64 (hypot.f64 re im))
(hypot.f64 im re)
(hypot.f64 re im)
im
re
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(log.f64 base)
(sqrt.f64 (log.f64 base))
(log.f64 base)
base
#s(literal 2 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))
(log.f64 (hypot.f64 re im))
(sqrt.f64 (log.f64 (hypot.f64 im re)))
(sqrt.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 im re))
(log.f64 (hypot.f64 re im))
(hypot.f64 im re)
(hypot.f64 re im)
im
re
#s(literal 2 binary64)
(log.f64 base)
base
(.f64 (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 (hypot.f64 im re)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
(pow.f64 (log.f64 base) #s(literal -2 binary64))
#s(literal -2 binary64)
(log.f64 (hypot.f64 im re))
(log.f64 (hypot.f64 re im))
(hypot.f64 im re)
(hypot.f64 re im)
im
re
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (log.f64 (hypot.f64 im re)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -5 binary64)))
(pow.f64 (log.f64 base) #s(literal -5 binary64))
(log.f64 base)
base
#s(literal -5 binary64)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(log.f64 (hypot.f64 im re))
(log.f64 (hypot.f64 re im))
(hypot.f64 im re)
(hypot.f64 re im)
im
re

localize225.0ms (2.3%)

Memory

-52.5MiB live, 202.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (log.f64 (hypot.f64 im re)))
accuracy	0.1328125	(*.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
accuracy	0.3422814942110505	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	0.37494907185145554	(pow.f64 (log.f64 base) #s(literal -5 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.0859375	(.f64 (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 (hypot.f64 im re)))
accuracy	0.13347626953688405	(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
accuracy	0.18882753907376806	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base)))
accuracy	0.0625	(sqrt.f64 (log.f64 (hypot.f64 im re)))
accuracy	0.11328125	(/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base))
accuracy	0.18654252930532603	(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))
accuracy	0.03515625	(sqrt.f64 (log.f64 base))
accuracy	0.109375	(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
accuracy	0.14621450045522197	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
accuracy	0.174160009768442	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
accuracy	0.0	(log.f64 (hypot.f64 im re))
accuracy	0.0	(log.f64 base)
accuracy	0.0859375	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 im re)))
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (log.f64 base))

Samples

69.0ms	166×	0	invalid
46.0ms	90×	0	valid

Compiler

Compiled 293 to 40 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 27.0ms (35.8% of total)

ival-log: 12.0ms (15.9% of total)

ival-pow: 10.0ms (13.3% of total)

ival-hypot: 8.0ms (10.6% of total)

ival-div: 6.0ms (8% of total)

ival-pow2: 4.0ms (5.3% of total)

ival-sqrt: 3.0ms (4% of total)

ival-add: 2.0ms (2.7% of total)

ival-atan2: 2.0ms (2.7% of total)

exact: 1.0ms (1.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series140.0ms (1.4%)

Memory

30.8MiB live, 177.0MiB allocated

Counts

20 → 97

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 im re)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
(log.f64 (hypot.f64 im re))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(log.f64 im)
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base)))
(/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base))
(sqrt.f64 (log.f64 (hypot.f64 im re)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(.f64 (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 (hypot.f64 im re)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (log.f64 (hypot.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal -5 binary64))
(sqrt.f64 (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 4 binary64))

Outputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(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))))))
(sqrt (log im))
(+ (sqrt (log im)) (* 1/4 (* (/ (pow re 2) (pow im 2)) (sqrt (/ 1 (log im))))))
(+ (sqrt (log im)) (* (pow re 2) (+ (* -1/2 (* (* (pow re 2) (+ (* 1/16 (/ 1 (* (pow im 4) (log im)))) (* 1/4 (/ 1 (pow im 4))))) (sqrt (/ 1 (log im))))) (* 1/4 (* (/ 1 (pow im 2)) (sqrt (/ 1 (log im))))))))
(+ (sqrt (log im)) (* (pow re 2) (+ (* 1/4 (* (/ 1 (pow im 2)) (sqrt (/ 1 (log im))))) (* (pow re 2) (+ (* -1/2 (* (sqrt (/ 1 (log im))) (+ (* 1/16 (/ 1 (* (pow im 4) (log im)))) (* 1/4 (/ 1 (pow im 4)))))) (* 1/2 (* (* (pow re 2) (- (* 1/6 (/ 1 (pow im 6))) (* -1/4 (/ (+ (* 1/16 (/ 1 (* (pow im 4) (log im)))) (* 1/4 (/ 1 (pow im 4)))) (* (pow im 2) (log im)))))) (sqrt (/ 1 (log im))))))))))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -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))))))
(* (sqrt (log (/ 1 re))) (sqrt -1))
(+ (* 1/4 (* (/ (pow im 2) (* (pow re 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 re)))))) (* (sqrt (log (/ 1 re))) (sqrt -1)))
(+ (* 1/4 (* (/ (pow im 2) (* (pow re 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 re)))))) (+ (* 1/2 (* (/ (- (* -1/4 (pow im 4)) (* 1/16 (/ (pow im 4) (* (log (/ 1 re)) (pow (sqrt -1) 2))))) (* (pow re 4) (sqrt -1))) (sqrt (/ 1 (log (/ 1 re)))))) (* (sqrt (log (/ 1 re))) (sqrt -1))))
(+ (* 1/4 (* (/ (pow im 2) (* (pow re 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 re)))))) (+ (* 1/2 (* (/ (- (* -1/4 (pow im 4)) (* 1/16 (/ (pow im 4) (* (log (/ 1 re)) (pow (sqrt -1) 2))))) (* (pow re 4) (sqrt -1))) (sqrt (/ 1 (log (/ 1 re)))))) (+ (* 1/2 (* (/ (- (* 1/720 (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (* 1/4 (/ (* (pow im 2) (- (* -1/4 (pow im 4)) (* 1/16 (/ (pow im 4) (* (log (/ 1 re)) (pow (sqrt -1) 2)))))) (* (log (/ 1 re)) (pow (sqrt -1) 2))))) (* (pow re 6) (sqrt -1))) (sqrt (/ 1 (log (/ 1 re)))))) (* (sqrt (log (/ 1 re))) (sqrt -1)))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -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))))))
(* (sqrt (log (/ -1 re))) (sqrt -1))
(+ (* 1/4 (* (/ (pow im 2) (* (pow re 2) (sqrt -1))) (sqrt (/ 1 (log (/ -1 re)))))) (* (sqrt (log (/ -1 re))) (sqrt -1)))
(+ (* 1/4 (* (/ (pow im 2) (* (pow re 2) (sqrt -1))) (sqrt (/ 1 (log (/ -1 re)))))) (+ (* 1/2 (* (/ (- (* -1/4 (pow im 4)) (* 1/16 (/ (pow im 4) (* (log (/ -1 re)) (pow (sqrt -1) 2))))) (* (pow re 4) (sqrt -1))) (sqrt (/ 1 (log (/ -1 re)))))) (* (sqrt (log (/ -1 re))) (sqrt -1))))
(+ (* 1/4 (* (/ (pow im 2) (* (pow re 2) (sqrt -1))) (sqrt (/ 1 (log (/ -1 re)))))) (+ (* 1/2 (* (/ (- (* -1/4 (pow im 4)) (* 1/16 (/ (pow im 4) (* (log (/ -1 re)) (pow (sqrt -1) 2))))) (* (pow re 4) (sqrt -1))) (sqrt (/ 1 (log (/ -1 re)))))) (+ (* 1/2 (* (/ (- (* 1/720 (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (* 1/4 (/ (* (pow im 2) (- (* -1/4 (pow im 4)) (* 1/16 (/ (pow im 4) (* (log (/ -1 re)) (pow (sqrt -1) 2)))))) (* (log (/ -1 re)) (pow (sqrt -1) 2))))) (* (pow re 6) (sqrt -1))) (sqrt (/ 1 (log (/ -1 re)))))) (* (sqrt (log (/ -1 re))) (sqrt -1)))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(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))))))
(sqrt (log re))
(+ (sqrt (log re)) (* 1/4 (* (/ (pow im 2) (pow re 2)) (sqrt (/ 1 (log re))))))
(+ (sqrt (log re)) (* (pow im 2) (+ (* -1/2 (* (* (pow im 2) (+ (* 1/16 (/ 1 (* (pow re 4) (log re)))) (* 1/4 (/ 1 (pow re 4))))) (sqrt (/ 1 (log re))))) (* 1/4 (* (/ 1 (pow re 2)) (sqrt (/ 1 (log re))))))))
(+ (sqrt (log re)) (* (pow im 2) (+ (* 1/4 (* (/ 1 (pow re 2)) (sqrt (/ 1 (log re))))) (* (pow im 2) (+ (* -1/2 (* (sqrt (/ 1 (log re))) (+ (* 1/16 (/ 1 (* (pow re 4) (log re)))) (* 1/4 (/ 1 (pow re 4)))))) (* 1/2 (* (* (pow im 2) (- (* 1/6 (/ 1 (pow re 6))) (* -1/4 (/ (+ (* 1/16 (/ 1 (* (pow re 4) (log re)))) (* 1/4 (/ 1 (pow re 4)))) (* (pow re 2) (log re)))))) (sqrt (/ 1 (log re))))))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -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))))))
(* (sqrt (log (/ 1 im))) (sqrt -1))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 im)))))) (* (sqrt (log (/ 1 im))) (sqrt -1)))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 im)))))) (+ (* 1/2 (* (/ (- (* -1/4 (pow re 4)) (* 1/16 (/ (pow re 4) (* (log (/ 1 im)) (pow (sqrt -1) 2))))) (* (pow im 4) (sqrt -1))) (sqrt (/ 1 (log (/ 1 im)))))) (* (sqrt (log (/ 1 im))) (sqrt -1))))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 im)))))) (+ (* 1/2 (* (/ (- (* -1/4 (pow re 4)) (* 1/16 (/ (pow re 4) (* (log (/ 1 im)) (pow (sqrt -1) 2))))) (* (pow im 4) (sqrt -1))) (sqrt (/ 1 (log (/ 1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (pow re 4)) (* 1/16 (/ (pow re 4) (* (log (/ 1 im)) (pow (sqrt -1) 2)))))) (* (log (/ 1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ 1 (log (/ 1 im)))))) (* (sqrt (log (/ 1 im))) (sqrt -1)))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -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))))))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(+ (log -1) (* -1 (log (/ -1 im))))
(* (sqrt (log (/ -1 im))) (sqrt -1))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (log (/ -1 im)))))) (* (sqrt (log (/ -1 im))) (sqrt -1)))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (log (/ -1 im)))))) (+ (* 1/2 (* (/ (- (* -1/4 (pow re 4)) (* 1/16 (/ (pow re 4) (* (log (/ -1 im)) (pow (sqrt -1) 2))))) (* (pow im 4) (sqrt -1))) (sqrt (/ 1 (log (/ -1 im)))))) (* (sqrt (log (/ -1 im))) (sqrt -1))))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (log (/ -1 im)))))) (+ (* 1/2 (* (/ (- (* -1/4 (pow re 4)) (* 1/16 (/ (pow re 4) (* (log (/ -1 im)) (pow (sqrt -1) 2))))) (* (pow im 4) (sqrt -1))) (sqrt (/ 1 (log (/ -1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (pow re 4)) (* 1/16 (/ (pow re 4) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (log (/ -1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ 1 (log (/ -1 im)))))) (* (sqrt (log (/ -1 im))) (sqrt -1)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ 1 (log base))
(log base)
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 5))
(sqrt (log base))
(pow (log base) 4)
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (/ (log im) (log (/ 1 base))))
(/ 1 (pow (log (/ 1 base)) 2))
(/ -1 (pow (log (/ 1 base)) 5))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(pow (log (/ 1 base)) 4)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	base	@	inf	((* (/ 1 (log base)) (log (sqrt (+ (* im im) (* re re))))) (/ 1 (log base)) (log base) (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (pow (sqrt (log base)) 2)) (log im) (pow (sqrt (log (sqrt (+ (* im im) (* re re))))) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (pow (sqrt (log (sqrt (+ (* im im) (* re re))))) 2) (log base)) (sqrt (log (sqrt (+ (* im im) (* re re))))) (* (log base) (pow (log base) -2)) (* (* (log base) (pow (log base) -2)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -2) (* (* (pow (log base) -5) (pow (log base) 4)) (log (sqrt (+ (* im im) (* re re))))) (* (pow (log base) -5) (pow (log base) 4)) (pow (log base) -5) (sqrt (log base)) (pow (log base) 4))
24.0ms	base	@	0	((* (/ 1 (log base)) (log (sqrt (+ (* im im) (* re re))))) (/ 1 (log base)) (log base) (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (pow (sqrt (log base)) 2)) (log im) (pow (sqrt (log (sqrt (+ (* im im) (* re re))))) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (pow (sqrt (log (sqrt (+ (* im im) (* re re))))) 2) (log base)) (sqrt (log (sqrt (+ (* im im) (* re re))))) (* (log base) (pow (log base) -2)) (* (* (log base) (pow (log base) -2)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -2) (* (* (pow (log base) -5) (pow (log base) 4)) (log (sqrt (+ (* im im) (* re re))))) (* (pow (log base) -5) (pow (log base) 4)) (pow (log base) -5) (sqrt (log base)) (pow (log base) 4))
23.0ms	base	@	-inf	((* (/ 1 (log base)) (log (sqrt (+ (* im im) (* re re))))) (/ 1 (log base)) (log base) (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (pow (sqrt (log base)) 2)) (log im) (pow (sqrt (log (sqrt (+ (* im im) (* re re))))) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (pow (sqrt (log (sqrt (+ (* im im) (* re re))))) 2) (log base)) (sqrt (log (sqrt (+ (* im im) (* re re))))) (* (log base) (pow (log base) -2)) (* (* (log base) (pow (log base) -2)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -2) (* (* (pow (log base) -5) (pow (log base) 4)) (log (sqrt (+ (* im im) (* re re))))) (* (pow (log base) -5) (pow (log base) 4)) (pow (log base) -5) (sqrt (log base)) (pow (log base) 4))
17.0ms	im	@	inf	((* (/ 1 (log base)) (log (sqrt (+ (* im im) (* re re))))) (/ 1 (log base)) (log base) (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (pow (sqrt (log base)) 2)) (log im) (pow (sqrt (log (sqrt (+ (* im im) (* re re))))) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (pow (sqrt (log (sqrt (+ (* im im) (* re re))))) 2) (log base)) (sqrt (log (sqrt (+ (* im im) (* re re))))) (* (log base) (pow (log base) -2)) (* (* (log base) (pow (log base) -2)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -2) (* (* (pow (log base) -5) (pow (log base) 4)) (log (sqrt (+ (* im im) (* re re))))) (* (pow (log base) -5) (pow (log base) 4)) (pow (log base) -5) (sqrt (log base)) (pow (log base) 4))
14.0ms	im	@	-inf	((* (/ 1 (log base)) (log (sqrt (+ (* im im) (* re re))))) (/ 1 (log base)) (log base) (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (pow (sqrt (log base)) 2)) (log im) (pow (sqrt (log (sqrt (+ (* im im) (* re re))))) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (pow (sqrt (log (sqrt (+ (* im im) (* re re))))) 2) (log base)) (sqrt (log (sqrt (+ (* im im) (* re re))))) (* (log base) (pow (log base) -2)) (* (* (log base) (pow (log base) -2)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -2) (* (* (pow (log base) -5) (pow (log base) 4)) (log (sqrt (+ (* im im) (* re re))))) (* (pow (log base) -5) (pow (log base) 4)) (pow (log base) -5) (sqrt (log base)) (pow (log base) 4))

simplify170.0ms (1.7%)

Memory

-2.9MiB live, 174.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	417	2523
1	1260	2282
2	5467	2159
0	8280	2031

Stop Event

1×	iter limit
1×	node limit

Counts

97 → 97

Calls

Call 1

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

Outputs
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im)) (log.f64 base))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (/.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (log.f64 base)) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (log.f64 base)) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (log.f64 im)) (log.f64 base)))
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
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(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im)) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(+.f64 (/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (log.f64 base)) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (log.f64 im)) (log.f64 base)))
(* -1 (log (/ 1 im)))
(log.f64 im)
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (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 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/6 binary64)) (pow.f64 im #s(literal 6 binary64))))) (log.f64 im))
(* (sqrt (log (/ 1 im))) (sqrt -1))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 im))) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 im)))))) (* (sqrt (log (/ 1 im))) (sqrt -1)))
(fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) im) im)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 im)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 im))) (sqrt.f64 #s(literal -1 binary64))))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 im)))))) (+ (* 1/2 (* (/ (- (* -1/4 (pow re 4)) (* 1/16 (/ (pow re 4) (* (log (/ 1 im)) (pow (sqrt -1) 2))))) (* (pow im 4) (sqrt -1))) (sqrt (/ 1 (log (/ 1 im)))))) (* (sqrt (log (/ 1 im))) (sqrt -1))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 im)))) (/.f64 (fma.f64 (.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 im)) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64))) (pow.f64 im #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (neg.f64 (log.f64 im))) (sqrt.f64 #s(literal -1 binary64))))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 im)))))) (+ (* 1/2 (* (/ (- (* -1/4 (pow re 4)) (* 1/16 (/ (pow re 4) (* (log (/ 1 im)) (pow (sqrt -1) 2))))) (* (pow im 4) (sqrt -1))) (sqrt (/ 1 (log (/ 1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (pow re 4)) (* 1/16 (/ (pow re 4) (* (log (/ 1 im)) (pow (sqrt -1) 2)))))) (* (log (/ 1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ 1 (log (/ 1 im)))))) (* (sqrt (log (/ 1 im))) (sqrt -1)))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 im))))) (.f64 (/.f64 re (sqrt.f64 #s(literal -1 binary64))) (/.f64 re (.f64 im im))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 im)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 im)) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64))) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 im)) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64))) (.f64 re re)) (log.f64 im)) #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/6 binary64))) (pow.f64 im #s(literal 6 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (neg.f64 (log.f64 im))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (/ (log (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(/.f64 (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(+.f64 (/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (log.f64 base)) (/.f64 (fma.f64 (.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)))
(* -1 (log (/ -1 im)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (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)))))
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (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 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/6 binary64)) (pow.f64 im #s(literal 6 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(* (sqrt (log (/ -1 im))) (sqrt -1))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (log (/ -1 im)))))) (* (sqrt (log (/ -1 im))) (sqrt -1)))
(fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) im) im)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) (sqrt.f64 #s(literal -1 binary64))))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (log (/ -1 im)))))) (+ (* 1/2 (* (/ (- (* -1/4 (pow re 4)) (* 1/16 (/ (pow re 4) (* (log (/ -1 im)) (pow (sqrt -1) 2))))) (* (pow im 4) (sqrt -1))) (sqrt (/ 1 (log (/ -1 im)))))) (* (sqrt (log (/ -1 im))) (sqrt -1))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (/.f64 (fma.f64 (.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (pow.f64 im #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) (sqrt.f64 #s(literal -1 binary64))))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (log (/ -1 im)))))) (+ (* 1/2 (* (/ (- (* -1/4 (pow re 4)) (* 1/16 (/ (pow re 4) (* (log (/ -1 im)) (pow (sqrt -1) 2))))) (* (pow im 4) (sqrt -1))) (sqrt (/ 1 (log (/ -1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (pow re 4)) (* 1/16 (/ (pow re 4) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (log (/ -1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ 1 (log (/ -1 im)))))) (* (sqrt (log (/ -1 im))) (sqrt -1)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (/.f64 (fma.f64 (.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (pow.f64 im #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (/.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (/.f64 (.f64 re re) (log.f64 (/.f64 #s(literal -1 binary64) im)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 im #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) (sqrt.f64 #s(literal -1 binary64)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log base)
(log.f64 base)
(/ 1 (pow (log base) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ 1 (pow (log base) 5))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64)))
(sqrt (log base))
(sqrt.f64 (log.f64 base))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/ 1 (pow (log (/ 1 base)) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ -1 (pow (log (/ 1 base)) 5))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 #s(literal -1 binary64)))
(pow (log (/ 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 5 binary64)))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))

rewrite230.0ms (2.3%)

Memory

-7.7MiB live, 308.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	185
0	65	135
1	224	117
2	1358	107
0	9095	107

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

20 → 2 278

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 im re)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
(log.f64 (hypot.f64 im re))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(log.f64 im)
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base)))
(/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base))
(sqrt.f64 (log.f64 (hypot.f64 im re)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(.f64 (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 (hypot.f64 im re)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (log.f64 (hypot.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal -5 binary64))
(sqrt.f64 (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 4 binary64))

Outputs
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (sqrt.f64 (log.f64 base)))))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (log.f64 base)))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (sqrt.f64 (log.f64 base)))) (/.f64 (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (sqrt.f64 (log.f64 base)))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (sqrt.f64 (log.f64 base)))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base))) (/.f64 (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 (log.f64 base)))))
(.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (log.f64 base)))) (/.f64 (log.f64 (fma.f64 re re (.f64 im im))) (neg.f64 (sqrt.f64 (log.f64 base)))))
(.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (fma.f64 re re (.f64 im im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 (log.f64 base)))) (/.f64 (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 (log.f64 base)))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 (log.f64 base)))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (/.f64 (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (sqrt.f64 (log.f64 base)))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (log.f64 base)))) (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (sqrt.f64 (log.f64 base)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(.f64 (/.f64 (.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (log.f64 (hypot.f64 re im))) (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
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(/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (neg.f64 (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (neg.f64 (log.f64 base)))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 base)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 base)))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (neg.f64 (log.f64 base)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (neg.f64 (log.f64 base)))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (neg.f64 (log.f64 base)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (log.f64 base))) #s(literal 4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (log.f64 base))) #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))))
(-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))
(fabs.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 base #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))

eval172.0ms (1.8%)

Memory: -6.6MiB live, 263.9MiB allocated
Compiler: Compiled 33 867 to 3 256 computations (90.4% saved)

prune54.0ms (0.5%)

Memory

32.8MiB live, 79.9MiB allocated

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	1 181	10	1 191
Fresh	6	14	20
Picked	3	2	5
Done	0	2	2
Total	1 190	28	1 218

Accuracy

100.0%

Counts

1 218 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
	98.6%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.7%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.6%	(/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4)) (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	49.6%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re)))
	49.5%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re)))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
	99.2%	(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (log.f64 (hypot.f64 im re)))
	73.9%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
✓	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 im re)))
	98.9%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 re im))) (log.f64 base))
	98.8%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))
	49.6%	(.f64 (.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (log.f64 (hypot.f64 im re)))
	98.8%	(.f64 (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))
	99.1%	(.f64 (.f64 (log.f64 base) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 (hypot.f64 im re)))
	99.1%	(.f64 (.f64 (log.f64 base) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) (log.f64 (hypot.f64 im re)))
	99.2%	(.f64 (.f64 #s(approx (pow (log base) -5) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (log.f64 (hypot.f64 im re)))
	98.9%	(log.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
	33.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (log.f64 (fma.f64 re re (.f64 im im))))) #s(literal 2 binary64)) (log.f64 base)))
	73.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) #s(literal 2 binary64)) (log.f64 base)))
	49.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
	99.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) (log.f64 base)))
✓	99.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
✓	49.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
✓	98.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	48.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
	73.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 #s(approx (log (log (sqrt (+ (* im im) (* re re))))) (log.f64 (log.f64 im)))) (log.f64 base)))

Compiler

Compiled 2 360 to 775 computations (67.2% saved)

regimes177.0ms (1.8%)

Memory

-7.9MiB live, 97.4MiB allocated

Counts

70 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 im re)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) #s(literal 2 binary64)) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (log.f64 (fma.f64 re re (.f64 im im))))) #s(literal 2 binary64)) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 #s(approx (log (log (sqrt (+ (* im im) (* re re))))) (log.f64 (log.f64 im)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
(.f64 (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 (log.f64 (hypot.f64 im re)) (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 (hypot.f64 im re)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 re im))) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 (hypot.f64 im re)))
(/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4)) (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(.f64 (.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (log.f64 (hypot.f64 im re)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base)) (log.f64 base))
(.f64 (.f64 (log.f64 base) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) (log.f64 (hypot.f64 im re)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (log.f64 (hypot.f64 im re)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (log.f64 (hypot.f64 im re)))
(/.f64 (.f64 #s(approx ( (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(.f64 (.f64 #s(approx (pow (log base) -5) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (log.f64 (hypot.f64 im re)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (log.f64 (pow.f64 base (log.f64 base))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (log.f64 (pow.f64 base (log.f64 base))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (.f64 (log.f64 base) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 (hypot.f64 im re)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (pow.f64 (log.f64 base) #s(literal 5 binary64)))
(/.f64 (.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (+.f64 (cosh.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (sinh.f64 (log.f64 (log.f64 (hypot.f64 im re))))) (log.f64 base)))
(/.f64 (.f64 (exp.f64 (log.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 18 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))))
(/.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)))

Calls

5 calls:

69.0ms	(log.f64 base)
52.0ms	base
18.0ms	im
18.0ms	re
17.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

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

Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes73.0ms (0.7%)

Memory

-12.5MiB live, 33.4MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 im re)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) #s(literal 2 binary64)) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (log.f64 (fma.f64 re re (.f64 im im))))) #s(literal 2 binary64)) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 #s(approx (log (log (sqrt (+ (* im im) (* re re))))) (log.f64 (log.f64 im)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
(.f64 (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base)))

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))

Calls

5 calls:

47.0ms	(log.f64 base)
6.0ms	base
6.0ms	re
6.0ms	im
6.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

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

Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes7.0ms (0.1%)

Memory

12.9MiB live, 13.0MiB allocated

Accuracy

Total -0.1b remaining (-19%)

Threshold costs -0.1b (-19%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))

(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))

Calls

5 calls:

1.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
1.0ms	(log.f64 base)
1.0ms	base
1.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
98.9%	1	`re`
98.9%	1	`im`
98.9%	1	`base`
98.9%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
98.9%	1	`(log.f64 base)`

Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify73.0ms (0.7%)

Memory

-1.6MiB live, 43.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	84
1	59	78
2	168	66
3	415	60
4	830	60
5	1789	60
6	3836	60
7	4925	60
8	6675	60

Stop Event

1×	node limit

Calls

Call 1

Inputs

#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)))

#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))

#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))

Outputs

#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)))

#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))

#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))

soundness365.0ms (3.7%)

Memory

-51.3MiB live, 202.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	275
0	87	195
1	246	186
2	1403	169
0	8980	169
0	299	1777
1	930	1774
2	3622	1662
0	8312	1538

Stop Event

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

Compiler

Compiled 163 to 74 computations (54.6% saved)

preprocess82.0ms (0.8%)

Memory: 15.9MiB live, 60.7MiB allocated
Remove: (abs re)
Compiler: Compiled 652 to 348 computations (46.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze297.0ms (3%)

sample2.4s (24%)

explain405.0ms (4.1%)

preprocess293.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify303.0ms (3.1%)

localize75.0ms (0.8%)

series181.0ms (1.8%)

simplify474.0ms (4.8%)

rewrite197.0ms (2%)

eval178.0ms (1.8%)

prune60.0ms (0.6%)

simplify285.0ms (2.9%)

localize149.0ms (1.5%)

series359.0ms (3.7%)

simplify230.0ms (2.3%)

rewrite336.0ms (3.4%)

eval337.0ms (3.4%)

prune68.0ms (0.7%)

simplify114.0ms (1.2%)

localize188.0ms (1.9%)

series261.0ms (2.7%)

simplify190.0ms (1.9%)

rewrite187.0ms (1.9%)

eval150.0ms (1.5%)

prune62.0ms (0.6%)

simplify302.0ms (3.1%)

localize225.0ms (2.3%)

series140.0ms (1.4%)

simplify170.0ms (1.7%)

rewrite230.0ms (2.3%)

eval172.0ms (1.8%)

prune54.0ms (0.5%)

regimes177.0ms (1.8%)

regimes73.0ms (0.7%)

regimes7.0ms (0.1%)

simplify73.0ms (0.7%)

soundness365.0ms (3.7%)

preprocess82.0ms (0.8%)

end0.0ms (0%)

Profiling