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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze251.0ms (2.6%)

Memory

1.2MiB live, 197.8MiB 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)

sample1.8s (19.5%)

Memory

59.4MiB live, 1 466.8MiB allocated

Samples

1.4s

8 256×

valid

Precisions

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

ival-log: 301.0ms (27.6% of total)

ival-hypot: 300.0ms (27.5% of total)

ival-mult: 250.0ms (23% of total)

ival-add: 109.0ms (10% of total)

ival-atan2: 63.0ms (5.8% of total)

ival-div: 50.0ms (4.6% of total)

ival-true: 7.0ms (0.6% of total)

exact: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain240.0ms (2.5%)

Memory

-8.0MiB live, 389.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
122	-	1	(1.563511950426943e-156 -2.4276028212989086e-224 2.0419482556561853e-39)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	0	-	`(log.f64 base)`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(atan2.f64 im re)`
0	-	0	-	`im`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`re`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	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	-	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	-	0	-	`#s(literal 0 binary64)`
0	-	0	-	`(*.f64 (atan2.f64 im re) #s(literal 0 binary64))`
0	-	0	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`base`
0	-	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	107	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	107
↳	`(*.f64 re re)`	overflow	69
↳	`(*.f64 im im)`	overflow	57
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	14	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	14
↳	`(*.f64 re re)`	underflow	60
↳	`(*.f64 im im)`	underflow	61

Confusion

	Predicted +	Predicted -
+	121	0
-	0	135

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	121	0	0
-	0	0	135

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	135
1	121

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

81.0ms

512×

valid

Compiler

Compiled 389 to 76 computations (80.5% saved)

Precisions

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

ival-mult: 16.0ms (27.2% of total)

ival-log: 16.0ms (27.2% of total)

ival-hypot: 9.0ms (15.3% of total)

ival-add: 7.0ms (11.9% of total)

ival-div: 6.0ms (10.2% of total)

ival-atan2: 4.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess222.0ms (2.3%)

Memory

4.0MiB live, 205.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	189
1	144	171
2	238	171
3	459	125
4	853	113
5	1594	113
6	4797	113
7	7462	113
0	18	26
0	34	20
1	43	18
2	48	18
3	58	14
4	67	12
5	68	12
6	121	12
7	325	12
8	1198	12
9	1934	12
10	2395	12
11	2701	12
12	3169	12
13	3904	12
14	4909	12
15	6035	12
16	6376	12
17	6583	12
18	6778	12
19	6985	12
0	8478	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: 0.2MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	(/.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

▶

53.8%

(/.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)

simplify164.0ms (1.7%)

Memory

16.5MiB live, 128.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	192	(+.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	320	(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
cost-diff	6784	(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
cost-diff	13440	(/.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	43	93
2	48	93
3	58	89
4	67	87
5	68	87
6	121	87
7	325	87
8	1198	87
9	1934	87
10	2395	87
11	2701	87
12	3169	87
13	3904	87
14	4909	87
15	6035	87
16	6376	87
17	6583	87
18	6778	87
19	6985	87
0	8478	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)

localize71.0ms (0.8%)

Memory

-19.0MiB live, 102.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.30697250976844204	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
accuracy	0.34212875976844204	(/.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	0.4967575195368841	(*.f64 (log.f64 base) (log.f64 base))
accuracy	28.26445669598721	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

59.0ms

256×

valid

Compiler

Compiled 240 to 38 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-add: 9.0ms (25.9% of total)

ival-mult: 7.0ms (20.1% of total)

ival-log: 6.0ms (17.2% of total)

ival-hypot: 5.0ms (14.4% of total)

ival-atan2: 5.0ms (14.4% of total)

ival-div: 2.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

series100.0ms (1.1%)

Memory

7.3MiB live, 175.0MiB allocated

Counts

7 → 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))))
(*.f64 (atan2.f64 im re) #s(literal 0 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)))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(*.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)))
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))))))))
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)))))
(* -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 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))))))
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 (/ -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 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 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))))))))
(/ (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 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))))))))
(+ 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)))))
(* -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 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))))))
(* 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 (/ -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 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 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 (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
50.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
20.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
16.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (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))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
3.0ms	re	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))

simplify155.0ms (1.6%)

Memory

-12.9MiB live, 178.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	1777
1	840	1750
2	2655	1728
3	6398	1718
0	8163	1596

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

rewrite289.0ms (3.1%)

Memory

17.1MiB live, 257.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	34	57
1	99	55
2	686	55
3	6243	55
0	8266	35

Stop Event

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

Counts

7 → 1 492

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

eval259.0ms (2.7%)

Memory: -4.0MiB live, 340.5MiB allocated
Compiler: Compiled 42 464 to 2 763 computations (93.5% saved)

prune44.0ms (0.5%)

Memory

-1.6MiB live, 125.8MiB allocated

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	1 281	25	1 306
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 282	25	1 307

Accuracy

100.0%

Counts

1 307 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
	99.1%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))))
	99.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	53.8%	(/.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 8 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	53.8%	(/.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 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	53.7%	(/.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 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.1%	(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (log.f64 base))
	99.0%	(/.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 10 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	98.8%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 base) (log.f64 im))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)))
	99.2%	(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
	99.1%	(.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (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))))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))))
▶	99.1%	(.f64 (/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
	99.0%	(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
▶	99.2%	(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	99.1%	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	99.3%	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base))))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (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))))
▶	99.4%	#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 974 to 728 computations (25.3% saved)

simplify168.0ms (1.8%)

Memory

27.7MiB live, 104.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (log.f64 base))
cost-diff	0	(*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re)))
cost-diff	256	(.f64 (/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
cost-diff	6720	(/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
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)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
cost-diff	19648	(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
cost-diff	0	(hypot.f64 im re)
cost-diff	0	(log.f64 (hypot.f64 im re))
cost-diff	320	(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
cost-diff	12864	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
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: 8 (0.0ms)

Iter	Nodes	Cost
0	43	247
0	64	211
1	96	207
2	177	196
3	509	192
4	1127	189
5	2144	189
6	4352	189
7	5481	189
8	6089	186
9	6175	186
10	6227	186
11	6788	186
12	7040	186
13	7040	186
14	7040	186
0	8134	186

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 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
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)
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(log.f64 base)
base
#s(literal 4 binary64)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re)))
(neg.f64 (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 6 binary64))
#s(literal 6 binary64)
(neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 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 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(/.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)
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(log.f64 base)
base
#s(literal 4 binary64)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (log.f64 (hypot.f64 im re)))
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)))
(*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re)))
(neg.f64 (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 6 binary64))
#s(literal 6 binary64)
(neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)

localize215.0ms (2.3%)

Memory

-57.3MiB live, 213.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3483200195368841	(.f64 (/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
accuracy	0.3515625	(/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
accuracy	0.9300693361065219	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	1.2702213604155705	(pow.f64 (log.f64 base) #s(literal 6 binary64))
accuracy	0.36328125	(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
accuracy	0.390625	(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
accuracy	0.7599565430532609	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	0.9300693361065219	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.34375	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.34994125976844204	(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
accuracy	0.4967575195368841	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.0	(log.f64 im)
accuracy	0.0	(log.f64 base)
accuracy	0.28827284263884956	#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	0.3951950195368841	(/.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	0.4030075195368841	(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))

Samples

175.0ms

256×

valid

Compiler

Compiled 565 to 82 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-pow: 49.0ms (37.2% of total)

ival-mult: 42.0ms (31.9% of total)

ival-log: 12.0ms (9.1% of total)

ival-div: 9.0ms (6.8% of total)

ival-hypot: 9.0ms (6.8% of total)

ival-add: 2.0ms (1.5% of total)

ival-atan2: 2.0ms (1.5% of total)

ival-neg: 2.0ms (1.5% of total)

ival-pow2: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series226.0ms (2.4%)

Memory

35.9MiB live, 384.1MiB allocated

Counts

20 → 179

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

Calls

9 calls:

Time	Variable		Point	Expression
45.0ms	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) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (* (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (pow (log base) 3)) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (/ (* (neg (log base)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (* (/ (* (neg (log base)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (neg (pow (log base) 4))) (* (neg (log base)) (log (sqrt (+ (* im im) (* re re))))) (neg (log base)) (pow (log base) 2) (pow (log base) 4) (pow (log base) 3) (pow (log base) 6))
39.0ms	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) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (* (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (pow (log base) 3)) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (/ (* (neg (log base)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (* (/ (* (neg (log base)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (neg (pow (log base) 4))) (* (neg (log base)) (log (sqrt (+ (* im im) (* re re))))) (neg (log base)) (pow (log base) 2) (pow (log base) 4) (pow (log base) 3) (pow (log base) 6))
37.0ms	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) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (* (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (pow (log base) 3)) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (/ (* (neg (log base)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (* (/ (* (neg (log base)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (neg (pow (log base) 4))) (* (neg (log base)) (log (sqrt (+ (* im im) (* re re))))) (neg (log base)) (pow (log base) 2) (pow (log base) 4) (pow (log base) 3) (pow (log base) 6))
34.0ms	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) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (* (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (pow (log base) 3)) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (/ (* (neg (log base)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (* (/ (* (neg (log base)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (neg (pow (log base) 4))) (* (neg (log base)) (log (sqrt (+ (* im im) (* re re))))) (neg (log base)) (pow (log base) 2) (pow (log base) 4) (pow (log base) 3) (pow (log base) 6))
30.0ms	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) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (* (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (pow (log base) 3)) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 4)) (/ (* (neg (log base)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (* (/ (* (neg (log base)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (neg (pow (log base) 4))) (* (neg (log base)) (log (sqrt (+ (* im im) (* re re))))) (neg (log base)) (pow (log base) 2) (pow (log base) 4) (pow (log base) 3) (pow (log base) 6))

simplify186.0ms (2%)

Memory

-0.9MiB live, 278.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	556	3967
1	1503	3863
2	4647	3851
0	8190	3615

Stop Event

1×	iter limit
1×	node limit

Counts

179 → 177

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

rewrite424.0ms (4.5%)

Memory

18.9MiB live, 515.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	190
0	64	142
1	210	138
2	1274	122
0	8755	122

Stop Event

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

Counts

20 → 5 627

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

eval589.0ms (6.2%)

Memory: -3.6MiB live, 821.8MiB allocated
Compiler: Compiled 113 378 to 7 712 computations (93.2% saved)

prune174.0ms (1.8%)

Memory

30.1MiB live, 270.2MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	2 964	18	2 982
Fresh	15	5	20
Picked	3	2	5
Done	0	0	0
Total	2 982	25	3 007

Accuracy

100.0%

Counts

3 007 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 base) (log.f64 im))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.2%	(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
▶	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))))
	98.7%	(.f64 (/.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))
	47.2%	(*.f64 (log.f64 (hypot.f64 im re)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	98.7%	(.f64 #s(approx (/ ( (neg (log base)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (/.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
	98.8%	(.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	53.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 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 (log.f64 (hypot.f64 im re)) (log.f64 base)))
▶	25.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re))))) (log.f64 base)))
	47.5%	#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))))
	98.7%	#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)))))
	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) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (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 6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64))))))
▶	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)))))
	98.8%	#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 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (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)))
▶	47.2%	#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)))))
	98.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
	99.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 (hypot.f64 im re)))))
	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 im) #s(literal -1 binary64)) #s(literal -1 binary64))))
▶	98.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
	48.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))

Compiler

Compiled 1 540 to 1 059 computations (31.2% saved)

simplify269.0ms (2.8%)

Memory

-17.0MiB live, 56.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 im)
cost-diff	0	(/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.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) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
cost-diff	19648	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
cost-diff	0	(/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re))))
cost-diff	0	(log.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re)))))
cost-diff	0	(/.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.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 (/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re))))) (log.f64 base)))
cost-diff	0	(log.f64 im)
cost-diff	0	(/.f64 (log.f64 im) (exp.f64 (log.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) (exp.f64 (log.f64 (log.f64 base)))))
cost-diff	12800	(exp.f64 (log.f64 (log.f64 base)))
cost-diff	0	(log.f64 im)
cost-diff	0	(neg.f64 (log.f64 im))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
cost-diff	448	(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
cost-diff	0	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -4 binary64))
cost-diff	19264	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	384
0	85	325
1	117	311
2	196	299
3	444	278
4	980	268
5	2670	268
6	5160	268
0	8164	268

Stop Event

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

Calls

Call 1

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

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

localize249.0ms (2.6%)

Memory

-27.5MiB live, 240.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
accuracy	0.185878759768442	(/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
accuracy	0.25914003907376804	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.36011513675818824	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	2.9882812500000004	(-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))
accuracy	9.523656483957938	(sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))
accuracy	12.591783068153427	(sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re)))
accuracy	12.611314318153427	(/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re))))
accuracy	0.018361092648988643	#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)))))
accuracy	0.045483813241307514	(log.f64 (log.f64 base))
accuracy	0.185878759768442	(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
accuracy	0.5232328855998944	(exp.f64 (log.f64 (log.f64 base)))
accuracy	0.0	(log.f64 base)
accuracy	0.018361092648988643	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
accuracy	0.1640625	(/.f64 #s(literal -1 binary64) (log.f64 base))
accuracy	0.178066259768442	(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
accuracy	0.1640625	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re)))
accuracy	0.1640625	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))))
accuracy	0.36011513675818824	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	0.4777490723585869	(pow.f64 (log.f64 base) #s(literal -4 binary64))

Samples

105.0ms	133×	0	invalid
66.0ms	123×	0	valid

Compiler

Compiled 754 to 104 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-log: 62.0ms (46.6% of total)

ival-pow: 25.0ms (18.8% of total)

ival-mult: 12.0ms (9% of total)

ival-div: 9.0ms (6.8% of total)

ival-hypot: 8.0ms (6% of total)

ival-add: 4.0ms (3% of total)

ival-sqrt: 4.0ms (3% of total)

ival-exp: 3.0ms (2.3% of total)

ival-atan2: 2.0ms (1.5% of total)

ival-sub: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series342.0ms (3.6%)

Memory

35.2MiB live, 453.4MiB allocated

Counts

25 → 187

Calls

Call 1

Inputs
(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))))
(pow.f64 (log.f64 base) #s(literal -4 binary64))
(log.f64 base)
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re)))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 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 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(neg.f64 (log.f64 im))
(log.f64 im)
(exp.f64 (log.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) (exp.f64 (log.f64 (log.f64 base)))))
(/.f64 (log.f64 im) (exp.f64 (log.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 (/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re))))) (log.f64 base)))
(/.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re))))) (log.f64 base))
(log.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.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) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(log.f64 (log.f64 base))
(sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re)))
(sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))
(-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 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)))
(* (pow (log base) 3) (log im))
(+ (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))) (* (pow (log base) 3) (log im)))
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(log im)
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im
(+ im (* -1/2 (/ (* re (+ im (* -1 im))) im)))
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(pow im 2)
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(pow im 4)
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re
(* re (+ 1 (* 1/2 (/ (+ im (* -1 im)) re))))
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(* re (sqrt -1))
(* re (+ (sqrt -1) (* 1/2 (/ (+ im (* -1 im)) (* re (sqrt -1))))))
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(* (pow re 2) (sqrt -1))
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(* -1 re)
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(* -1 (* re (sqrt -1)))
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(/ (log re) (log base))
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(* (pow (log base) 3) (log re))
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(+ (* (pow im 2) (+ (* 1/2 (/ (pow (log base) 3) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow (log base) 3) (pow re 4))) (* 1/6 (/ (* (pow im 2) (pow (log base) 3)) (pow re 6))))))) (* (pow (log base) 3) (log re)))
(* -1 (log im))
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(log re)
(+ (log re) (* 1/2 (/ (* im (+ re (* -1 re))) (pow re 2))))
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(+ re (* 1/2 (/ (* im (+ re (* -1 re))) re)))
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(+ (* im (+ (* 1/2 (/ (+ re (* -1 re)) (* re (sqrt -1)))) (* im (+ (* -1/4 (/ (* im (* (+ re (* -1 re)) (- 1 (* 1/4 (/ (pow (+ re (* -1 re)) 2) (* (pow re 2) (pow (sqrt -1) 2))))))) (* (pow re 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ re (* -1 re)) 2) (* (pow re 2) (pow (sqrt -1) 2))))) (* re (sqrt -1)))))))) (* re (sqrt -1)))
(+ (* 1/2 (/ (pow im 4) (* (pow re 2) (sqrt -1)))) (* (pow re 2) (sqrt -1)))
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(- (pow im 4) (pow re 4))
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(+ (* -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 (* (pow (log base) 3) (log (/ 1 im))))
(+ (* -1 (* (pow (log base) 3) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))))
(+ (* -1 (* (pow (log base) 3) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 3) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 3) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))))))
(log (/ 1 im))
(* -1 (log (/ 1 im)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* -1/2 (/ (+ re (* -1 re)) (* im (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/2 (/ (+ re (* -1 re)) (* im (log base)))) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow re 2)) (+ (* -1 (pow (+ re (* -1 re)) 2)) (* 1/4 (pow (+ re (* -1 re)) 2))))) (* -1/4 (pow (+ re (* -1 re)) 2))) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/2 (/ (+ re (* -1 re)) (* im (log base)))) (+ (* 1/6 (/ (+ (* -3 (+ (* -1 (* (+ re (* -1 re)) (+ (* -1 (pow re 2)) (* -1 (pow (+ re (* -1 re)) 2))))) (+ (* 1/2 (* (+ re (* -1 re)) (+ (* -1 (pow re 2)) (+ (* -1 (pow (+ re (* -1 re)) 2)) (* 1/4 (pow (+ re (* -1 re)) 2)))))) (* (pow re 2) (+ re (* -1 re)))))) (+ (* -3/2 (* (+ re (* -1 re)) (+ (* -1 (pow re 2)) (+ (* -1 (pow (+ re (* -1 re)) 2)) (* 1/4 (pow (+ re (* -1 re)) 2)))))) (* -1/4 (pow (+ re (* -1 re)) 3)))) (* (pow im 3) (log base)))) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow re 2)) (+ (* -1 (pow (+ re (* -1 re)) 2)) (* 1/4 (pow (+ re (* -1 re)) 2))))) (* -1/4 (pow (+ re (* -1 re)) 2))) (* (pow im 2) (log base)))))))
(+ (* -1 (log (/ 1 im))) (* -1/2 (/ (+ re (* -1 re)) im)))
(+ (* -1 (log (/ 1 im))) (+ (* -1/2 (/ (+ re (* -1 re)) im)) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow re 2)) (+ (* -1 (pow (+ re (* -1 re)) 2)) (* 1/4 (pow (+ re (* -1 re)) 2))))) (* -1/4 (pow (+ re (* -1 re)) 2))) (pow im 2)))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/2 (/ (+ re (* -1 re)) im)) (+ (* 1/6 (/ (+ (* -3 (+ (* -1 (* (+ re (* -1 re)) (+ (* -1 (pow re 2)) (* -1 (pow (+ re (* -1 re)) 2))))) (+ (* 1/2 (* (+ re (* -1 re)) (+ (* -1 (pow re 2)) (+ (* -1 (pow (+ re (* -1 re)) 2)) (* 1/4 (pow (+ re (* -1 re)) 2)))))) (* (pow re 2) (+ re (* -1 re)))))) (+ (* -3/2 (* (+ re (* -1 re)) (+ (* -1 (pow re 2)) (+ (* -1 (pow (+ re (* -1 re)) 2)) (* 1/4 (pow (+ re (* -1 re)) 2)))))) (* -1/4 (pow (+ re (* -1 re)) 3)))) (pow im 3))) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow re 2)) (+ (* -1 (pow (+ re (* -1 re)) 2)) (* 1/4 (pow (+ re (* -1 re)) 2))))) (* -1/4 (pow (+ re (* -1 re)) 2))) (pow im 2))))))
(* im (+ 1 (* -1/2 (/ (+ re (* -1 re)) im))))
(* im (+ 1 (+ (* -1/2 (/ (+ re (* -1 re)) im)) (* -1/2 (/ (+ (* -1 (pow re 2)) (+ (* -1 (pow (+ re (* -1 re)) 2)) (* 1/4 (pow (+ re (* -1 re)) 2)))) (pow im 2))))))
(* im (+ 1 (+ (* -1/2 (/ (+ re (* -1 re)) im)) (+ (* -1/2 (/ (+ (* -1 (* (+ re (* -1 re)) (+ (* -1 (pow re 2)) (* -1 (pow (+ re (* -1 re)) 2))))) (+ (* 1/2 (* (+ re (* -1 re)) (+ (* -1 (pow re 2)) (+ (* -1 (pow (+ re (* -1 re)) 2)) (* 1/4 (pow (+ re (* -1 re)) 2)))))) (* (pow re 2) (+ re (* -1 re))))) (pow im 3))) (* -1/2 (/ (+ (* -1 (pow re 2)) (+ (* -1 (pow (+ re (* -1 re)) 2)) (* 1/4 (pow (+ re (* -1 re)) 2)))) (pow im 2)))))))
(* im (+ 1 (* 1/2 (/ (+ re (* -1 re)) im))))
(* im (+ 1 (+ (* 1/2 (/ (+ re (* -1 re)) im)) (* 1/2 (/ (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2))) (pow im 2))))))
(* im (+ 1 (+ (* -1/4 (/ (* (+ re (* -1 re)) (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2)))) (pow im 3))) (+ (* 1/2 (/ (+ re (* -1 re)) im)) (* 1/2 (/ (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2))) (pow im 2)))))))
(* (pow im 2) (+ 1 (* -1/2 (/ (pow re 4) (pow im 4)))))
(* (pow im 2) (+ 1 (+ (* -1/2 (/ (pow re 4) (pow im 4))) (* -1/8 (/ (pow re 8) (pow im 8))))))
(* (pow im 2) (+ 1 (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* -1/8 (/ (pow re 8) (pow im 8))) (* -1/16 (/ (pow re 12) (pow im 12)))))))
(* (pow im 4) (+ 1 (* -1 (/ (pow re 4) (pow im 4)))))
(* -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 (* (pow (log base) 3) (log (/ -1 im))))
(+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))))
(+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 3) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))))))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(* -1 (+ (log -1) (* -1 (log (/ -1 im)))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (+ re (* -1 re)) (* im (* (log base) (pow (sqrt -1) 2))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* -1 (/ (+ (* -1/2 (/ (+ re (* -1 re)) (* (log base) (pow (sqrt -1) 2)))) (* -1/2 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2))) (+ (pow re 2) (pow (+ re (* -1 re)) 2))) (pow (sqrt -1) 2))) (* -1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 4)))) (* im (log base))))) im)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (/ (+ (* 1/2 (/ (* (+ re (* -1 re)) (+ (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2))) (+ (pow re 2) (pow (+ re (* -1 re)) 2)))) (pow (sqrt -1) 2))) (+ (* (+ re (* -1 re)) (+ (pow re 2) (pow (+ re (* -1 re)) 2))) (* (pow re 2) (+ re (* -1 re))))) (pow (sqrt -1) 2))) (+ (* -3/2 (/ (* (+ re (* -1 re)) (+ (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2))) (+ (pow re 2) (pow (+ re (* -1 re)) 2)))) (pow (sqrt -1) 4))) (* -1/4 (/ (pow (+ re (* -1 re)) 3) (pow (sqrt -1) 6))))) (* im (log base)))) (* 1/2 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2))) (+ (pow re 2) (pow (+ re (* -1 re)) 2))) (pow (sqrt -1) 2))) (* -1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 4)))) (log base)))) im)) (* -1/2 (/ (+ re (* -1 re)) (* (log base) (pow (sqrt -1) 2))))) im)))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (+ re (* -1 re)) (* im (pow (sqrt -1) 2)))))
(+ (* -1 (log (/ -1 im))) (* -1 (/ (+ (* -1/2 (/ (+ re (* -1 re)) (pow (sqrt -1) 2))) (* -1/2 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2))) (+ (pow re 2) (pow (+ re (* -1 re)) 2))) (pow (sqrt -1) 2))) (* -1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 4)))) im))) im)))
(+ (* -1 (log (/ -1 im))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (/ (+ (* 1/2 (/ (* (+ re (* -1 re)) (+ (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2))) (+ (pow re 2) (pow (+ re (* -1 re)) 2)))) (pow (sqrt -1) 2))) (+ (* (+ re (* -1 re)) (+ (pow re 2) (pow (+ re (* -1 re)) 2))) (* (pow re 2) (+ re (* -1 re))))) (pow (sqrt -1) 2))) (+ (* -3/2 (/ (* (+ re (* -1 re)) (+ (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2))) (+ (pow re 2) (pow (+ re (* -1 re)) 2)))) (pow (sqrt -1) 4))) (* -1/4 (/ (pow (+ re (* -1 re)) 3) (pow (sqrt -1) 6))))) im)) (* 1/2 (+ (* -1 (/ (+ (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2))) (+ (pow re 2) (pow (+ re (* -1 re)) 2))) (pow (sqrt -1) 2))) (* -1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 4)))))) im)) (* -1/2 (/ (+ re (* -1 re)) (pow (sqrt -1) 2)))) im)))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (+ re (* -1 re)) (* im (pow (sqrt -1) 2)))))))
(* -1 (* im (+ 1 (* -1 (/ (+ (* -1/2 (/ (+ re (* -1 re)) (pow (sqrt -1) 2))) (* 1/2 (/ (+ (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2))) (+ (pow re 2) (pow (+ re (* -1 re)) 2))) (* im (pow (sqrt -1) 2))))) im)))))
(* -1 (* im (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2))) (+ (pow re 2) (pow (+ re (* -1 re)) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ (* 1/2 (/ (* (+ re (* -1 re)) (+ (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2))) (+ (pow re 2) (pow (+ re (* -1 re)) 2)))) (pow (sqrt -1) 2))) (+ (* (+ re (* -1 re)) (+ (pow re 2) (pow (+ re (* -1 re)) 2))) (* (pow re 2) (+ re (* -1 re))))) (* im (pow (sqrt -1) 2))))) im)) (* -1/2 (/ (+ re (* -1 re)) (pow (sqrt -1) 2)))) im)))))
(* -1 (* im (pow (sqrt -1) 2)))
(* -1 (* im (+ (* -1/2 (/ (+ re (* -1 re)) im)) (pow (sqrt -1) 2))))
(* -1 (* im (+ (* -1 (/ (+ (* -1/2 (/ (- (pow re 2) (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2)))) im)) (* 1/2 (+ re (* -1 re)))) im)) (pow (sqrt -1) 2))))
(* -1 (* im (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ re (* -1 re)) (- (pow re 2) (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2))))) (* im (pow (sqrt -1) 2)))) (* 1/2 (- (pow re 2) (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2)))))) im)) (* 1/2 (+ re (* -1 re)))) im)) (pow (sqrt -1) 2))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ 1 (pow (log base) 4))
(log base)
(* (pow (log base) 3) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/ (log (sqrt (/ (- (pow im 4) (pow re 4)) (* (+ im re) (- im re))))) (log base))
(pow (log base) 3)
(/ -1 (log base))
(log (log base))
(/ 1 (pow (log base) 2))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ 1 (pow (log (/ 1 base)) 4))
(* -1 (log (/ 1 base)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3)))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log (sqrt (/ (- (pow im 4) (pow re 4)) (* (+ im re) (- im re))))) (log (/ 1 base))))
(* -1 (pow (log (/ 1 base)) 3))
(/ 1 (log (/ 1 base)))
(log (* -1 (log (/ 1 base))))
(/ 1 (pow (log (/ 1 base)) 2))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(+ (log -1) (* -1 (log (/ -1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (/ (- (pow im 4) (pow re 4)) (* (+ im re) (- im re))))) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(/ -1 (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))

Calls

9 calls:

Time	Variable		Point	Expression
124.0ms	base	@	inf	((* (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -4) (log base) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (exp (log (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (exp (log (log base)))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re))))) (log base)) (log (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re))))) (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re)))) (* (pow (log base) 3) (pow (log base) -2)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (pow (log base) 3) (pow (log base) -2))) (pow (log base) 3) (/ -1 (log base)) (log (log base)) (sqrt (* (+ im re) (- im re))) (sqrt (- (pow im 4) (pow re 4))) (- (pow im 4) (pow re 4)) (pow (log base) -2))
68.0ms	base	@	0	((* (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -4) (log base) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (exp (log (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (exp (log (log base)))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re))))) (log base)) (log (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re))))) (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re)))) (* (pow (log base) 3) (pow (log base) -2)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (pow (log base) 3) (pow (log base) -2))) (pow (log base) 3) (/ -1 (log base)) (log (log base)) (sqrt (* (+ im re) (- im re))) (sqrt (- (pow im 4) (pow re 4))) (- (pow im 4) (pow re 4)) (pow (log base) -2))
57.0ms	base	@	-inf	((* (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -4) (log base) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (exp (log (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (exp (log (log base)))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re))))) (log base)) (log (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re))))) (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re)))) (* (pow (log base) 3) (pow (log base) -2)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (pow (log base) 3) (pow (log base) -2))) (pow (log base) 3) (/ -1 (log base)) (log (log base)) (sqrt (* (+ im re) (- im re))) (sqrt (- (pow im 4) (pow re 4))) (- (pow im 4) (pow re 4)) (pow (log base) -2))
26.0ms	im	@	-inf	((* (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -4) (log base) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (exp (log (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (exp (log (log base)))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re))))) (log base)) (log (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re))))) (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re)))) (* (pow (log base) 3) (pow (log base) -2)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (pow (log base) 3) (pow (log base) -2))) (pow (log base) 3) (/ -1 (log base)) (log (log base)) (sqrt (* (+ im re) (- im re))) (sqrt (- (pow im 4) (pow re 4))) (- (pow im 4) (pow re 4)) (pow (log base) -2))
22.0ms	im	@	inf	((* (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -4) (log base) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (exp (log (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (exp (log (log base)))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re))))) (log base)) (log (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re))))) (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re)))) (* (pow (log base) 3) (pow (log base) -2)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (pow (log base) 3) (pow (log base) -2))) (pow (log base) 3) (/ -1 (log base)) (log (log base)) (sqrt (* (+ im re) (- im re))) (sqrt (- (pow im 4) (pow re 4))) (- (pow im 4) (pow re 4)) (pow (log base) -2))

simplify203.0ms (2.1%)

Memory

-13.8MiB live, 254.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	965	6176
1	2985	3989
0	10435	3766

Stop Event

1×	iter limit
1×	node limit

Counts

187 → 185

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)))
(* (pow (log base) 3) (log im))
(+ (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))) (* (pow (log base) 3) (log im)))
(+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 3)) (pow im 4))) (* 1/2 (/ (pow (log base) 3) (pow im 2))))) (* (pow (log base) 3) (log im)))
(+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 3) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 3) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 3)) (pow im 6))))))) (* (pow (log base) 3) (log im)))
(+ (* -1/2 (/ (* re (+ im (* -1 im))) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* re (+ (* -1/2 (/ (+ im (* -1 im)) (* (pow im 2) (log base)))) (* 1/2 (/ (* re (- (+ (* -1/4 (/ (pow (+ im (* -1 im)) 2) (pow im 4))) (/ 1 (pow im 2))) (+ (* -1 (/ (pow (+ im (* -1 im)) 2) (pow im 4))) (* 1/4 (/ (pow (+ im (* -1 im)) 2) (pow im 4)))))) (log base))))) (/ (log im) (log base)))
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im
(+ im (* -1/2 (/ (* re (+ im (* -1 im))) im)))
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re
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(* (pow (log base) 3) (log re))
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(log re)
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(+ re (* 1/2 (/ (* im (+ re (* -1 re))) re)))
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(log (/ 1 im))
(* -1 (log (/ 1 im)))
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(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/2 (/ (+ re (* -1 re)) (* im (log base)))) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow re 2)) (+ (* -1 (pow (+ re (* -1 re)) 2)) (* 1/4 (pow (+ re (* -1 re)) 2))))) (* -1/4 (pow (+ re (* -1 re)) 2))) (* (pow im 2) (log base))))))
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(+ (* -1 (log (/ 1 im))) (* -1/2 (/ (+ re (* -1 re)) im)))
(+ (* -1 (log (/ 1 im))) (+ (* -1/2 (/ (+ re (* -1 re)) im)) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow re 2)) (+ (* -1 (pow (+ re (* -1 re)) 2)) (* 1/4 (pow (+ re (* -1 re)) 2))))) (* -1/4 (pow (+ re (* -1 re)) 2))) (pow im 2)))))
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(* im (+ 1 (* -1/2 (/ (+ re (* -1 re)) im))))
(* im (+ 1 (+ (* -1/2 (/ (+ re (* -1 re)) im)) (* -1/2 (/ (+ (* -1 (pow re 2)) (+ (* -1 (pow (+ re (* -1 re)) 2)) (* 1/4 (pow (+ re (* -1 re)) 2)))) (pow im 2))))))
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(* im (+ 1 (* 1/2 (/ (+ re (* -1 re)) im))))
(* im (+ 1 (+ (* 1/2 (/ (+ re (* -1 re)) im)) (* 1/2 (/ (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2))) (pow im 2))))))
(* im (+ 1 (+ (* -1/4 (/ (* (+ re (* -1 re)) (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2)))) (pow im 3))) (+ (* 1/2 (/ (+ re (* -1 re)) im)) (* 1/2 (/ (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2))) (pow im 2)))))))
(* (pow im 2) (+ 1 (* -1/2 (/ (pow re 4) (pow im 4)))))
(* (pow im 2) (+ 1 (+ (* -1/2 (/ (pow re 4) (pow im 4))) (* -1/8 (/ (pow re 8) (pow im 8))))))
(* (pow im 2) (+ 1 (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* -1/8 (/ (pow re 8) (pow im 8))) (* -1/16 (/ (pow re 12) (pow im 12)))))))
(* (pow im 4) (+ 1 (* -1 (/ (pow re 4) (pow im 4)))))
(* -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 (* (pow (log base) 3) (log (/ -1 im))))
(+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))))
(+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 3) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))))))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(* -1 (+ (log -1) (* -1 (log (/ -1 im)))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (+ re (* -1 re)) (* im (* (log base) (pow (sqrt -1) 2))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* -1 (/ (+ (* -1/2 (/ (+ re (* -1 re)) (* (log base) (pow (sqrt -1) 2)))) (* -1/2 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2))) (+ (pow re 2) (pow (+ re (* -1 re)) 2))) (pow (sqrt -1) 2))) (* -1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 4)))) (* im (log base))))) im)))
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(* -1 (log (/ -1 im)))
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(* -1 im)
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(* -1 (* im (pow (sqrt -1) 2)))
(* -1 (* im (+ (* -1/2 (/ (+ re (* -1 re)) im)) (pow (sqrt -1) 2))))
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ 1 (pow (log base) 4))
(log base)
(* (pow (log base) 3) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/ (log (sqrt (/ (- (pow im 4) (pow re 4)) (* (+ im re) (- im re))))) (log base))
(pow (log base) 3)
(/ -1 (log base))
(log (log base))
(/ 1 (pow (log base) 2))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ 1 (pow (log (/ 1 base)) 4))
(* -1 (log (/ 1 base)))
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(/ 1 (log (/ 1 base)))
(log (* -1 (log (/ 1 base))))
(/ 1 (pow (log (/ 1 base)) 2))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(+ (log -1) (* -1 (log (/ -1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (/ (- (pow im 4) (pow re 4)) (* (+ im re) (- im re))))) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(/ -1 (+ (log -1) (* -1 (log (/ -1 base)))))
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(/ 1 (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)))
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(* (pow (log base) 3) (log im))
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(log im)
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im
(+ im (* -1/2 (/ (* re (+ im (* -1 im))) im)))
(+.f64 (/.f64 #s(literal 0 binary64) im) im)
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(neg.f64 (fma.f64 (/.f64 #s(literal 0 binary64) im) im im))
(* -1 (* im (+ 1 (* -1 (/ (+ (* -1/2 (/ (+ re (* -1 re)) (pow (sqrt -1) 2))) (* 1/2 (/ (+ (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2))) (+ (pow re 2) (pow (+ re (* -1 re)) 2))) (* im (pow (sqrt -1) 2))))) im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 re re #s(literal 0 binary64)) im) #s(literal -1/2 binary64) #s(literal 0 binary64)) im)) (neg.f64 im))
(* -1 (* im (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2))) (+ (pow re 2) (pow (+ re (* -1 re)) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ (* 1/2 (/ (* (+ re (* -1 re)) (+ (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2))) (+ (pow re 2) (pow (+ re (* -1 re)) 2)))) (pow (sqrt -1) 2))) (+ (* (+ re (* -1 re)) (+ (pow re 2) (pow (+ re (* -1 re)) 2))) (* (pow re 2) (+ re (* -1 re))))) (* im (pow (sqrt -1) 2))))) im)) (* -1/2 (/ (+ re (* -1 re)) (pow (sqrt -1) 2)))) im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 re re #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) im)) (neg.f64 im)) im)) (neg.f64 im))
(* -1 (* im (pow (sqrt -1) 2)))
im
(* -1 (* im (+ (* -1/2 (/ (+ re (* -1 re)) im)) (pow (sqrt -1) 2))))
(fma.f64 (/.f64 #s(literal 0 binary64) im) (neg.f64 im) im)
(* -1 (* im (+ (* -1 (/ (+ (* -1/2 (/ (- (pow re 2) (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2)))) im)) (* 1/2 (+ re (* -1 re)))) im)) (pow (sqrt -1) 2))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 re re #s(literal 0 binary64)) im) #s(literal -1/2 binary64) #s(literal 0 binary64)) im)) (neg.f64 im))
(* -1 (* im (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ re (* -1 re)) (- (pow re 2) (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2))))) (* im (pow (sqrt -1) 2)))) (* 1/2 (- (pow re 2) (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow (sqrt -1) 2)))))) im)) (* 1/2 (+ re (* -1 re)))) im)) (pow (sqrt -1) 2))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 re re #s(literal 0 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) im)) (neg.f64 im)) im)) (neg.f64 im))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ 1 (pow (log base) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(log base)
(log.f64 base)
(* (pow (log base) 3) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/ (log (sqrt (/ (- (pow im 4) (pow re 4)) (* (+ im re) (- im re))))) (log base))
(/.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (-.f64 im re) (+.f64 re im))))) (log.f64 base))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(/ -1 (log base))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(/ 1 (pow (log base) 2))
(/.f64 #s(literal 1 binary64) (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 re im)) (log.f64 base))
(/ 1 (pow (log (/ 1 base)) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64)))
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 3)))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (sqrt (/ (- (pow im 4) (pow re 4)) (* (+ im re) (- im re))))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (-.f64 im re) (+.f64 re im))))) (log.f64 base))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(/ 1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base)))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(/ 1 (pow (log (/ 1 base)) 2))
(/.f64 #s(literal 1 binary64) (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 re im)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64)))
(+ (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)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64)) (log.f64 (hypot.f64 re im)))
(/ (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 (sqrt (/ (- (pow im 4) (pow re 4)) (* (+ im re) (- im re))))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (-.f64 im re) (+.f64 re im))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))
(/ -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 (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.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)))

rewrite220.0ms (2.3%)

Memory

4.1MiB live, 214.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	324
0	85	251
1	276	172
2	1669	172
0	8462	172

Stop Event

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

Counts

25 → 735

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 re im)))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (log.f64 base)) (/.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (log.f64 base))) (.f64 (/.f64 (log.f64 (sqrt.f64 (.f64 (-.f64 im re) (+.f64 re im)))) (log.f64 base)) (/.f64 (log.f64 (sqrt.f64 (.f64 (-.f64 im re) (+.f64 re im)))) (log.f64 base)))) (+.f64 (/.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (log.f64 base)) (/.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 im re) (+.f64 re im)))) (log.f64 base))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (sqrt.f64 (.f64 (-.f64 im re) (+.f64 re im)))) (log.f64 base)) #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (log.f64 base)) (/.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (log.f64 base)) (fma.f64 (/.f64 (log.f64 (sqrt.f64 (.f64 (-.f64 im re) (+.f64 re im)))) (log.f64 base)) (/.f64 (log.f64 (sqrt.f64 (.f64 (-.f64 im re) (+.f64 re im)))) (log.f64 base)) (.f64 (/.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (log.f64 base)) (/.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 im re) (+.f64 re im)))) (log.f64 base))))))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (log.f64 base)) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (*.f64 (-.f64 im re) (+.f64 re im)))))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(fma.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (pow.f64 (log.f64 base) #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 im re) (+.f64 re im)))) (log.f64 base))))
(-.f64 (/.f64 (log.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))))) (log.f64 base)) (/.f64 (log.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 im re) (+.f64 re im))))) (log.f64 base)))
(-.f64 (/.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (log.f64 base)) (/.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 im re) (+.f64 re im)))) (log.f64 base)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (log.f64 base)) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 im re) (+.f64 re im)))) (log.f64 base))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(.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)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(*.f64 (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 -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal -4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -4 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal -4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal -4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(*.f64 #s(literal 1 binary64) (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)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -2 binary64))
(pow.f64 (log.f64 base) #s(literal -4 binary64))
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(fma.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 re #s(literal 8 binary64)) (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(fma.f64 (pow.f64 im #s(literal 12 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 re im) #s(literal 4 binary64)) (pow.f64 re #s(literal 8 binary64))) (pow.f64 im #s(literal 8 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 re im) #s(literal 4 binary64)) (pow.f64 re #s(literal 8 binary64))) (pow.f64 im #s(literal 8 binary64))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) im (*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) re))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) im (*.f64 (neg.f64 re) (pow.f64 re #s(literal 3 binary64))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) im (neg.f64 (pow.f64 re #s(literal 4 binary64))))
(fma.f64 (.f64 im im) (.f64 im im) (*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) re))
(fma.f64 (.f64 im im) (.f64 im im) (*.f64 (neg.f64 re) (pow.f64 re #s(literal 3 binary64))))
(fma.f64 (.f64 im im) (.f64 im im) (neg.f64 (pow.f64 re #s(literal 4 binary64))))
(fma.f64 (.f64 re re) (neg.f64 (.f64 re re)) (pow.f64 im #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))
(fma.f64 im (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) re))
(fma.f64 im (pow.f64 im #s(literal 3 binary64)) (*.f64 (neg.f64 re) (pow.f64 re #s(literal 3 binary64))))
(fma.f64 im (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 re #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 im #s(literal 8 binary64)) (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (pow.f64 re #s(literal 8 binary64)) (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 re im) #s(literal 4 binary64)) (pow.f64 re #s(literal 8 binary64))) (pow.f64 im #s(literal 8 binary64)))) (/.f64 (pow.f64 re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 re im) #s(literal 4 binary64)) (pow.f64 re #s(literal 8 binary64))) (pow.f64 im #s(literal 8 binary64)))))
(-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 im #s(literal 8 binary64)) (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 re #s(literal 8 binary64)) (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 re im) #s(literal 4 binary64)) (pow.f64 re #s(literal 8 binary64))) (pow.f64 im #s(literal 8 binary64)))) (neg.f64 (/.f64 (pow.f64 re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 re im) #s(literal 4 binary64)) (pow.f64 re #s(literal 8 binary64))) (pow.f64 im #s(literal 8 binary64))))))
(+.f64 (neg.f64 (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))
(+.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) re))
(+.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (neg.f64 re) (pow.f64 re #s(literal 3 binary64))))
(+.f64 (pow.f64 im #s(literal 4 binary64)) (neg.f64 (pow.f64 re #s(literal 4 binary64))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -5/2 binary64)) (pow.f64 (log.f64 base) #s(literal -5/2 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(.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 6 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -5/2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal 6 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 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 base))
(/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(/.f64 #s(literal 1 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 4 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (log.f64 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(-.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(-.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))
(exp.f64 (-.f64 (neg.f64 (log.f64 (log.f64 base))) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -4 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64))) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)) (log.f64 (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (log.f64 base)) (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (log.f64 base)) (fma.f64 (log.f64 (log.f64 base)) #s(literal -4 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)))))
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (log.f64 base)) (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -4 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64))) (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -4 binary64) (.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64))) (fma.f64 (log.f64 (log.f64 base)) #s(literal -4 binary64) (.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -4 binary64) (.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64))) (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64) (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64) (fma.f64 (log.f64 (log.f64 base)) #s(literal -4 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)))))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)) (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)))) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -4 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(exp.f64 (.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -4 binary64) (.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))))

eval129.0ms (1.4%)

Memory: 5.4MiB live, 229.1MiB allocated
Compiler: Compiled 46 913 to 4 463 computations (90.5% saved)

prune374.0ms (4%)

Memory

-174.9MiB live, 166.9MiB allocated

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	1 008	13	1 021
Fresh	6	12	18
Picked	2	3	5
Done	0	2	2
Total	1 016	30	1 046

Accuracy

100.0%

Counts

1 046 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
▶	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
▶	98.8%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(approx ( (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im))))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))
	98.8%	(.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
▶	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 im)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
	53.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (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 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
✓	99.4%	#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)))
	25.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (/.f64 (sqrt.f64 #s(approx (- (pow im 4) (pow re 4)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re))))) (log.f64 base)))
	93.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re)))) (fma.f64 (fma.f64 (.f64 re #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) #s(literal 3/4 binary64))) im) (/.f64 #s(literal 0 binary64) im)) re im))) (log.f64 base)))
	47.5%	#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))))
	98.7%	#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)))))
	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) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (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 6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64))))))
✓	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)))))
	98.8%	#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 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (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)))
✓	47.2%	#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)))))
▶	98.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3 binary64)))))
	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 im) #s(literal -1 binary64)) #s(literal -1 binary64))))
	98.8%	#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 (log.f64 im) (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (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 (.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3 binary64))) (log.f64 base)) (log.f64 base)))
	47.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))))
▶	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 base #s(literal -1 binary64)))))))
✓	98.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
	47.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (exp.f64 (log.f64 (log.f64 base))))))
	50.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (neg.f64 (log.f64 im)) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64)))))
	48.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))

Compiler

Compiled 2 064 to 1 395 computations (32.4% saved)

simplify173.0ms (1.8%)

Memory

-5.0MiB live, 77.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -4 binary64))
cost-diff	0	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(approx ( (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im))))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 im)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 im))))
cost-diff	256	(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 im)))
cost-diff	13440	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 im)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
cost-diff	0	(neg.f64 (log.f64 im))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 base #s(literal -1 binary64)))))))
cost-diff	448	(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 base #s(literal -1 binary64))))))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 base #s(literal -1 binary64)))
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 (log.f64 base) (log.f64 im))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
cost-diff	0	(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	12800	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	329
0	85	257
1	137	241
2	275	229
3	851	212
4	2365	212
5	3169	212
6	3607	212
7	4269	212
8	4481	212
9	4748	212
10	5092	212
11	6971	212
0	8009	212

Stop Event

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

Calls

Call 1

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

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

localize207.0ms (2.2%)

Memory

15.5MiB live, 127.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.33984375	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(approx ( (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im))))
accuracy	0.34765625	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im))
accuracy	0.7599565430532609	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	0.9792293458749639	(pow.f64 (log.f64 base) #s(literal -4 binary64))
accuracy	0.28827284263884956	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 im)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
accuracy	0.30697250976844204	(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 im)))
accuracy	0.34994125976844204	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 im)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
accuracy	0.4967575195368841	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.28827284263884956	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 base #s(literal -1 binary64)))))))
accuracy	0.33203125	(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 base #s(literal -1 binary64)))))
accuracy	0.34603500976844204	(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 base #s(literal -1 binary64))))))
accuracy	0.37377802292987927	(/.f64 #s(literal 1 binary64) (pow.f64 base #s(literal -1 binary64)))
accuracy	0.0	(log.f64 base)
accuracy	0.2578125	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
accuracy	0.28827284263884956	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
accuracy	0.3483200195368841	(/.f64 (log.f64 base) (log.f64 im))
accuracy	0.0	(log.f64 base)
accuracy	0.30697250976844204	(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
accuracy	0.35546875	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
accuracy	0.5231437988422101	(pow.f64 (log.f64 base) #s(literal -2 binary64))

Samples

147.0ms

256×

valid

Compiler

Compiled 659 to 108 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-log: 15.0ms (20.3% of total)

ival-mult: 14.0ms (19% of total)

ival-pow: 14.0ms (19% of total)

ival-div: 10.0ms (13.6% of total)

ival-hypot: 8.0ms (10.8% of total)

ival-neg: 3.0ms (4.1% of total)

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

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

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

ival-sub: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series320.0ms (3.4%)

Memory

22.4MiB live, 260.0MiB allocated

Counts

22 → 122

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
129.0ms	base	@	inf	((* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (log base) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ 1 (/ (log base) (log im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log base) (log im)) (/ 1 (pow base -1)) (* (neg (log im)) (/ -1 (log (/ 1 (pow base -1))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (/ (- 0 (* (neg (log base)) (neg (log im)))) (neg (pow (log base) 2))) (* (neg (log base)) (neg (log im))) (- 0 (* (neg (log base)) (neg (log im)))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (/ -1 (log (/ 1 (pow base -1)))) (pow (log base) 2) (pow (log base) 3) (* (pow (log base) 3) (log im)))
59.0ms	im	@	-inf	((* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (log base) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ 1 (/ (log base) (log im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log base) (log im)) (/ 1 (pow base -1)) (* (neg (log im)) (/ -1 (log (/ 1 (pow base -1))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (/ (- 0 (* (neg (log base)) (neg (log im)))) (neg (pow (log base) 2))) (* (neg (log base)) (neg (log im))) (- 0 (* (neg (log base)) (neg (log im)))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (/ -1 (log (/ 1 (pow base -1)))) (pow (log base) 2) (pow (log base) 3) (* (pow (log base) 3) (log im)))
55.0ms	base	@	-inf	((* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (log base) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ 1 (/ (log base) (log im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log base) (log im)) (/ 1 (pow base -1)) (* (neg (log im)) (/ -1 (log (/ 1 (pow base -1))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (/ (- 0 (* (neg (log base)) (neg (log im)))) (neg (pow (log base) 2))) (* (neg (log base)) (neg (log im))) (- 0 (* (neg (log base)) (neg (log im)))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (/ -1 (log (/ 1 (pow base -1)))) (pow (log base) 2) (pow (log base) 3) (* (pow (log base) 3) (log im)))
31.0ms	im	@	0	((* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (log base) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ 1 (/ (log base) (log im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log base) (log im)) (/ 1 (pow base -1)) (* (neg (log im)) (/ -1 (log (/ 1 (pow base -1))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (/ (- 0 (* (neg (log base)) (neg (log im)))) (neg (pow (log base) 2))) (* (neg (log base)) (neg (log im))) (- 0 (* (neg (log base)) (neg (log im)))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (/ -1 (log (/ 1 (pow base -1)))) (pow (log base) 2) (pow (log base) 3) (* (pow (log base) 3) (log im)))
26.0ms	base	@	0	((* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (log base) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ 1 (/ (log base) (log im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log base) (log im)) (/ 1 (pow base -1)) (* (neg (log im)) (/ -1 (log (/ 1 (pow base -1))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (/ (- 0 (* (neg (log base)) (neg (log im)))) (neg (pow (log base) 2))) (* (neg (log base)) (neg (log im))) (- 0 (* (neg (log base)) (neg (log im)))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (/ -1 (log (/ 1 (pow base -1)))) (pow (log base) 2) (pow (log base) 3) (* (pow (log base) 3) (log im)))

simplify259.0ms (2.7%)

Memory

-31.4MiB live, 128.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	343	2457
1	969	2396
2	3175	2369
3	7925	2369
0	8051	2234

Stop Event

1×	iter limit
1×	node limit

Counts

122 → 121

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

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

rewrite286.0ms (3%)

Memory

17.1MiB live, 211.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	269
0	85	202
1	276	164
2	1629	156
0	8952	156

Stop Event

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

Counts

22 → 1 680

Calls

Call 1

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

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

eval264.0ms (2.8%)

Memory: 19.7MiB live, 493.7MiB allocated
Compiler: Compiled 62 836 to 5 210 computations (91.7% saved)

prune99.0ms (1.1%)

Memory

1.0MiB live, 165.0MiB allocated

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	1 738	12	1 750
Fresh	10	10	20
Picked	2	3	5
Done	0	5	5
Total	1 750	30	1 780

Accuracy

100.0%

Counts

1 780 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
✓	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
	98.8%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx ( (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (log.f64 im) (log.f64 base))))
✓	98.8%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(approx ( (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im))))
	98.8%	(.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	98.7%	#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) (/.f64 #s(literal -1 binary64) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
	98.7%	#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) (*.f64 (log.f64 im) (log.f64 base)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
	98.8%	#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) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
	53.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base)))
	98.8%	#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) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 im) (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 (log.f64 (hypot.f64 im re)) (log.f64 base)))
	25.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (/.f64 (sqrt.f64 #s(approx (- (pow im 4) (pow re 4)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re))))) (log.f64 base)))
	93.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re)))) (fma.f64 (fma.f64 (.f64 re #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) #s(literal 3/4 binary64))) im) (/.f64 #s(literal 0 binary64) im)) re im))) (log.f64 base)))
	47.5%	#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) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (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 6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64))))))
✓	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)))))
	98.8%	#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 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (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)))
✓	47.2%	#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)))))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 im) #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 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (neg.f64 (log.f64 base)))))
	98.8%	#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) (log.f64 base)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal -1 binary64))))
	98.8%	#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) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base)))
	47.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))))
	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) base))))))
✓	98.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
	50.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (neg.f64 (log.f64 im)) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64)))))

Compiler

Compiled 3 293 to 1 074 computations (67.4% saved)

regimes125.0ms (1.3%)

Memory

10.4MiB live, 166.4MiB allocated

Counts

69 → 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)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 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 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 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 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (neg.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 #s(literal -1 binary64) (/.f64 #s(literal -1 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) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re)))) (fma.f64 (fma.f64 (.f64 re #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) #s(literal 3/4 binary64))) im) (/.f64 #s(literal 0 binary64) im)) 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 (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) (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 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal -1 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (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 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 base #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (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 (/.f64 (sqrt.f64 #s(approx (- (pow im 4) (pow re 4)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.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 (.f64 (log.f64 im) (pow.f64 (log.f64 base) #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 im) (exp.f64 (log.f64 (log.f64 base)))))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx ( (log base) (log (sqrt (+ (* im im) (* re re))))) (*.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 (neg.f64 (log.f64 im)) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))
#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) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.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 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (exp.f64 (log.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 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 im)))) (neg.f64 (pow.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 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 im) #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 base) (log.f64 im))) (+.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 (log.f64 im) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 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 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (*.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 (/.f64 (log.f64 im) (/.f64 #s(literal -1 binary64) (log.f64 base))) (neg.f64 (pow.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 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (/.f64 #s(literal -1 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) (*.f64 (log.f64 im) (log.f64 base)))) (neg.f64 (pow.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 (/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.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 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 im) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (log.f64 (hypot.f64 im re)) (exp.f64 (neg.f64 (log.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 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3 binary64)))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (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 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(approx ( (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im))))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (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 (.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3 binary64))) (log.f64 base)) (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 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.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 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 im re)) (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 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(.f64 #s(approx (/ ( (neg (log base)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (/.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 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) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.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) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 5 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
(.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.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 (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 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 (hypot.f64 im re)))))
(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (log.f64 base))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (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 4 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.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 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 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 10 binary64))) (pow.f64 (log.f64 base) #s(literal 6 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)))

Calls

5 calls:

36.0ms	(log.f64 base)
30.0ms	(/.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))))
20.0ms	re
19.0ms	im
17.0ms	base

Results

Accuracy	Segments	Branch
99.4%	1	`re`
99.4%	1	`im`
99.4%	1	`base`
99.4%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
99.4%	1	`(log.f64 base)`

Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes20.0ms (0.2%)

Memory

-29.4MiB live, 54.6MiB allocated

Accuracy

Total -29.3b remaining (-4288%)

Threshold costs -29.3b (-4288%)

Counts

10 → 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)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 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 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 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 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (neg.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 #s(literal -1 binary64) (/.f64 #s(literal -1 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) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (/ (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (+ im re) (- im re)))) (fma.f64 (fma.f64 (.f64 re #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 0 binary64) (*.f64 im im)) #s(literal 3/4 binary64))) im) (/.f64 #s(literal 0 binary64) im)) re 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 im) (log.f64 base)))

Calls

5 calls:

6.0ms	im
3.0ms	(log.f64 base)
3.0ms	re
3.0ms	base
3.0ms	(/.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
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)

simplify104.0ms (1.1%)

Memory

26.3MiB live, 65.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	54
1	33	50
2	39	50
3	51	42
4	60	38
5	63	38
6	120	38
7	333	38
8	1170	38
9	2048	38
10	2302	38
11	2676	38
12	3623	38
13	5173	38
14	6091	38
15	6707	38
16	7372	38

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 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 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)))

soundness172.0ms (1.8%)

Memory

-32.3MiB live, 172.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	1777
1	840	1750
2	2655	1728
3	6398	1718
0	8163	1596

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 82 to 39 computations (52.4% saved)

preprocess25.0ms (0.3%)

Memory

6.7MiB live, 45.0MiB allocated

Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 412 to 226 computations (45.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze251.0ms (2.6%)

sample1.8s (19.5%)

explain240.0ms (2.5%)

preprocess222.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify164.0ms (1.7%)

localize71.0ms (0.8%)

series100.0ms (1.1%)

simplify155.0ms (1.6%)

rewrite289.0ms (3.1%)

eval259.0ms (2.7%)

prune44.0ms (0.5%)

simplify168.0ms (1.8%)

localize215.0ms (2.3%)

series226.0ms (2.4%)

simplify186.0ms (2%)

rewrite424.0ms (4.5%)

eval589.0ms (6.2%)

prune174.0ms (1.8%)

simplify269.0ms (2.8%)

localize249.0ms (2.6%)

series342.0ms (3.6%)

simplify203.0ms (2.1%)

rewrite220.0ms (2.3%)

eval129.0ms (1.4%)

prune374.0ms (4%)

simplify173.0ms (1.8%)

localize207.0ms (2.2%)

series320.0ms (3.4%)

simplify259.0ms (2.7%)

rewrite286.0ms (3%)

eval264.0ms (2.8%)

prune99.0ms (1.1%)

regimes125.0ms (1.3%)

regimes20.0ms (0.2%)

simplify104.0ms (1.1%)

soundness172.0ms (1.8%)

preprocess25.0ms (0.3%)

end0.0ms (0%)

Profiling