Metrics for Hyperbolic arc-(co)secant

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze3.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.6s (22.8%)

Memory

-189.0MiB live, 929.3MiB allocated

Samples

1.2s	8 256×	0	valid
2.0ms	26×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 720.0ms

ival-log: 298.0ms (41.4% of total)

ival-div: 197.0ms (27.4% of total)

ival-mult: 61.0ms (8.5% of total)

ival-sqrt: 59.0ms (8.2% of total)

ival-sub: 46.0ms (6.4% of total)

ival-add: 43.0ms (6% of total)

ival-true: 7.0ms (1% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain236.0ms (3.4%)

Memory

-37.0MiB live, 102.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
0	-	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	-	-	`(*.f64 x x)`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
0	-	-	`(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)`
0	-	-	`x`
0	-	-	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`	oflow-rescue	1	0
↳	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

90.0ms

512×

valid

Compiler

Compiled 173 to 40 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 7.0ms (26.3% of total)

ival-log: 7.0ms (26.3% of total)

ival-sqrt: 4.0ms (15% of total)

ival-mult: 3.0ms (11.3% of total)

ival-sub: 3.0ms (11.3% of total)

ival-add: 2.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess367.0ms (5.3%)

Memory

26.0MiB live, 255.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 14 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	34	27
2	71	27
3	153	27
4	261	27
5	409	27
6	633	23
7	1008	23
8	1424	23
9	1995	23
10	4391	23
11	5872	23
12	6901	23
13	7311	23
14	7679	23
15	7835	23
0	9	13
0	16	13
1	24	13
2	31	13
3	39	13
4	54	13
5	74	13
6	117	13
7	315	13
8	597	13
9	1167	13
10	2099	13
11	3834	13
12	4826	13
13	5183	13
14	5518	11
15	5777	11
16	5858	11
17	6069	11
18	6989	11
0	8045	11

Stop Event

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

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Outputs

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x))

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify369.0ms (5.3%)

Memory

-19.6MiB live, 262.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
cost-diff	704	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

Iterations

Useful iterations: 14 (0.0ms)

Iter	Nodes	Cost
0	9	52
0	16	52
1	24	52
2	31	52
3	39	52
4	54	52
5	74	52
6	117	52
7	315	52
8	597	52
9	1167	52
10	2099	52
11	3834	52
12	4826	52
13	5183	52
14	5518	48
15	5777	48
16	5858	48
17	6069	48
18	6989	48
0	8045	48

Stop Event

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

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

Outputs
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

localize51.0ms (0.7%)

Memory

3.2MiB live, 42.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
accuracy	0.0078125	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
accuracy	0.01171875	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.2538543541350414	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Samples

20.0ms

256×

valid

Compiler

Compiled 106 to 20 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (30.7% of total)

ival-log: 3.0ms (23% of total)

ival-sqrt: 2.0ms (15.3% of total)

ival-add: 1.0ms (7.7% of total)

ival-mult: 1.0ms (7.7% of total)

ival-sub: 1.0ms (7.7% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Outputs
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 (sqrt -1))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))))
2.0ms	x	@	-inf	((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))))
1.0ms	x	@	0	((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))))

Time

Variable

Point

Expression

2.0ms

inf

((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))))

2.0ms

-inf

((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))))

1.0ms

((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x))))

simplify261.0ms (3.8%)

Memory

-24.9MiB live, 261.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	767
1	409	742
2	1098	722
3	3208	709
4	7995	709
0	8477	680

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 (sqrt -1))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))

Outputs
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/32 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(fma.f64 (.f64 #s(literal -1/4 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -5/96 binary64) (.f64 x x) #s(literal -3/32 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64)))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(-.f64 (-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(* x (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(fma.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))
(log (* -1 (sqrt -1)))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
(-.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(* -1 (* x (sqrt -1)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) x (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))) x (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))

rewrite183.0ms (2.6%)

Memory

28.1MiB live, 182.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	42
0	16	42
1	69	42
2	624	38
3	7596	38
0	8354	38

Stop Event

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

Counts

5 → 321

Calls

Call 1

Inputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Outputs
(*.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) x) (neg.f64 x)) #s(literal -1 binary64))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) (.f64 x x))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 (pow.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (fma.f64 (+.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) x (.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x))) (.f64 (neg.f64 x) x))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x)) (/.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x)) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (neg.f64 x))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) x)
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 x x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 x x))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -6 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (.f64 x x)) (-.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))))
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(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(exp.f64 (.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))

eval47.0ms (0.7%)

Memory: 19.4MiB live, 92.7MiB allocated
Compiler: Compiled 9 710 to 1 341 computations (86.2% saved)

prune16.0ms (0.2%)

Memory

-16.0MiB live, 32.1MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	372	9	381
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	373	9	382

Accuracy

100.0%

Counts

382 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
▶	99.8%	(+.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) (log.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)))))
	99.6%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))))
▶	55.8%	(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
	99.6%	(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
▶	99.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
	98.1%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
▶	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
▶	98.2%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))

Compiler

Compiled 284 to 202 computations (28.9% saved)

simplify97.0ms (1.4%)

Memory

14.2MiB live, 123.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 x)
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
cost-diff	0	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
cost-diff	0	(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x)
cost-diff	0	(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
cost-diff	512	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
cost-diff	0	(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
cost-diff	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
cost-diff	0	(sqrt.f64 #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
cost-diff	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
cost-diff	0	(log.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))))
cost-diff	0	(pow.f64 x #s(literal -1/2 binary64))
cost-diff	0	(log.f64 (pow.f64 x #s(literal -1/2 binary64)))
cost-diff	0	(+.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) (log.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	255
0	60	255
1	90	255
2	112	253
3	160	249
4	201	239
5	453	239
6	1533	239
7	4589	239
8	5901	239
0	8283	239

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) (log.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(log.f64 (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(log.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
#s(literal 1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))
(fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x)
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 x)
x

Outputs
(+.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) (log.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(+.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log.f64 (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(log.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))))
(log.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
#s(literal 1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x)
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 x)
x

localize204.0ms (2.9%)

Memory

-31.3MiB live, 140.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
accuracy	0	(log.f64 x)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
accuracy	0	(*.f64 x x)
accuracy	0	(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
accuracy	0	(neg.f64 x)
accuracy	0	(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
accuracy	0	(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
accuracy	0	(*.f64 x x)
accuracy	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
accuracy	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
accuracy	0	(sqrt.f64 #s(literal -1 binary64))
accuracy	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
accuracy	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
accuracy	0	(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
accuracy	0	(neg.f64 x)
accuracy	0	(log.f64 (pow.f64 x #s(literal -1/2 binary64)))
accuracy	0	(log.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))))

Samples

182.0ms

256×

invalid

Compiler

Compiled 498 to 72 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-log: 83.0ms (50.1% of total)

ival-sub: 45.0ms (27.1% of total)

ival-mult: 11.0ms (6.6% of total)

ival-add: 7.0ms (4.2% of total)

ival-pow: 7.0ms (4.2% of total)

ival-div: 6.0ms (3.6% of total)

ival-sqrt: 5.0ms (3% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series162.0ms (2.3%)

Memory

11.9MiB live, 207.0MiB allocated

Counts

21 → 228

Calls

Call 1

Inputs
(+.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) (log.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(log.f64 (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(log.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
(fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x)
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 #s(literal 2 binary64))
(log.f64 x)
(neg.f64 x)
(*.f64 x x)

Outputs
(+ (log (sqrt x)) (+ (log (* 2 (sqrt x))) (* -2 (log x))))
(+ (log (sqrt x)) (+ (log (* 2 (sqrt x))) (+ (* -2 (log x)) (* -1/4 (pow x 2)))))
(+ (log (sqrt x)) (+ (log (* 2 (sqrt x))) (+ (* -2 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))
(+ (log (sqrt x)) (+ (log (* 2 (sqrt x))) (+ (* -2 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))
(+ (log (sqrt x)) (* -1 (log x)))
(+ (log (sqrt x)) (* -1 (log x)))
(+ (log (sqrt x)) (* -1 (log x)))
(+ (log (sqrt x)) (* -1 (log x)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(+ (log (* 2 (sqrt x))) (* -1 (log x)))
(+ (log (* 2 (sqrt x))) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log (* 2 (sqrt x))) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log (* 2 (sqrt x))) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(* 2 x)
(* x (+ 2 (* -1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(- (log 2) (log x))
(- (log 2) (log x))
(- (log 2) (log x))
(- (log 2) (log x))
(log x)
(log x)
(log x)
(log x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (log (sqrt (/ 1 x))) (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (* -1 (log (/ 1 x)))))
(+ (log (sqrt (/ 1 x))) (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1))))))
(- (+ (log (sqrt (/ 1 x))) (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1)))))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt (/ 1 x))) (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (log (/ 1 x))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(log (sqrt (/ 1 x)))
(log (sqrt (/ 1 x)))
(log (sqrt (/ 1 x)))
(log (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (* -1 (log (/ 1 x))))
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1)))))
(- (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1))))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (log (/ 1 x))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(* (pow x 2) (sqrt -1))
(* (pow x 2) (+ (sqrt -1) (/ 1 x)))
(* (pow x 2) (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(* (pow x 2) (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(- (log 2) (* -1 (log (/ 1 x))))
(- (log 2) (* -1 (log (/ 1 x))))
(- (log 2) (* -1 (log (/ 1 x))))
(- (log 2) (* -1 (log (/ 1 x))))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (* -1 (log (/ -1 x)))))
(- (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (* -1 (log (/ -1 x))))) (/ 1 (* x (sqrt -1))))
(+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
(+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
(log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (* -1 (log (/ -1 x))))
(- (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (* -1 (log (/ -1 x)))) (/ 1 (* x (sqrt -1))))
(+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))
(+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(* -1/2 x)
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (* (pow x 2) (sqrt -1)))
(* (pow x 2) (+ (* -1 (sqrt -1)) (/ 1 x)))
(* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))
(* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Calls

3 calls:

Time	Variable		Point	Expression
75.0ms	x	@	0	((+ (log (pow x -1/2)) (log (* (pow x -1/2) (+ (sqrt (+ (* (neg x) x) 1)) 1)))) (log (pow x -1/2)) (pow x -1/2) (log (* (pow x -1/2) (+ (sqrt (+ (* (neg x) x) 1)) 1))) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (+ (* (* x x) -1/2) 2) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (sqrt (+ (* (neg x) x) 1)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (- (log 2) (log x)) (log 2) (log x) (neg x) (* x x))
59.0ms	x	@	-inf	((+ (log (pow x -1/2)) (log (* (pow x -1/2) (+ (sqrt (+ (* (neg x) x) 1)) 1)))) (log (pow x -1/2)) (pow x -1/2) (log (* (pow x -1/2) (+ (sqrt (+ (* (neg x) x) 1)) 1))) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (+ (* (* x x) -1/2) 2) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (sqrt (+ (* (neg x) x) 1)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (- (log 2) (log x)) (log 2) (log x) (neg x) (* x x))
26.0ms	x	@	inf	((+ (log (pow x -1/2)) (log (* (pow x -1/2) (+ (sqrt (+ (* (neg x) x) 1)) 1)))) (log (pow x -1/2)) (pow x -1/2) (log (* (pow x -1/2) (+ (sqrt (+ (* (neg x) x) 1)) 1))) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (+ (* (* x x) -1/2) 2) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (sqrt (+ (* (neg x) x) 1)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (- (log 2) (log x)) (log 2) (log x) (neg x) (* x x))

Time

Variable

Point

Expression

75.0ms

((+ (log (pow x -1/2)) (log (* (pow x -1/2) (+ (sqrt (+ (* (neg x) x) 1)) 1)))) (log (pow x -1/2)) (pow x -1/2) (log (* (pow x -1/2) (+ (sqrt (+ (* (neg x) x) 1)) 1))) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (+ (* (* x x) -1/2) 2) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (sqrt (+ (* (neg x) x) 1)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (- (log 2) (log x)) (log 2) (log x) (neg x) (* x x))

59.0ms

-inf

((+ (log (pow x -1/2)) (log (* (pow x -1/2) (+ (sqrt (+ (* (neg x) x) 1)) 1)))) (log (pow x -1/2)) (pow x -1/2) (log (* (pow x -1/2) (+ (sqrt (+ (* (neg x) x) 1)) 1))) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (+ (* (* x x) -1/2) 2) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (sqrt (+ (* (neg x) x) 1)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (- (log 2) (log x)) (log 2) (log x) (neg x) (* x x))

26.0ms

inf

((+ (log (pow x -1/2)) (log (* (pow x -1/2) (+ (sqrt (+ (* (neg x) x) 1)) 1)))) (log (pow x -1/2)) (pow x -1/2) (log (* (pow x -1/2) (+ (sqrt (+ (* (neg x) x) 1)) 1))) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (+ (* (* x x) -1/2) 2) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (sqrt (+ (* (neg x) x) 1)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (- (log 2) (log x)) (log 2) (log x) (neg x) (* x x))

simplify204.0ms (2.9%)

Memory

18.9MiB live, 209.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	2796
1	638	2652
2	1750	2591
3	5387	2564
0	8390	2474

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(+ (log (sqrt x)) (+ (log (* 2 (sqrt x))) (* -2 (log x))))
(+ (log (sqrt x)) (+ (log (* 2 (sqrt x))) (+ (* -2 (log x)) (* -1/4 (pow x 2)))))
(+ (log (sqrt x)) (+ (log (* 2 (sqrt x))) (+ (* -2 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))
(+ (log (sqrt x)) (+ (log (* 2 (sqrt x))) (+ (* -2 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))
(+ (log (sqrt x)) (* -1 (log x)))
(+ (log (sqrt x)) (* -1 (log x)))
(+ (log (sqrt x)) (* -1 (log x)))
(+ (log (sqrt x)) (* -1 (log x)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(+ (log (* 2 (sqrt x))) (* -1 (log x)))
(+ (log (* 2 (sqrt x))) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log (* 2 (sqrt x))) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log (* 2 (sqrt x))) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(* 2 x)
(* x (+ 2 (* -1/2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(- (log 2) (log x))
(- (log 2) (log x))
(- (log 2) (log x))
(- (log 2) (log x))
(log x)
(log x)
(log x)
(log x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (log (sqrt (/ 1 x))) (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (* -1 (log (/ 1 x)))))
(+ (log (sqrt (/ 1 x))) (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1))))))
(- (+ (log (sqrt (/ 1 x))) (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1)))))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt (/ 1 x))) (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (log (/ 1 x))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(log (sqrt (/ 1 x)))
(log (sqrt (/ 1 x)))
(log (sqrt (/ 1 x)))
(log (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (* -1 (log (/ 1 x))))
(+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1)))))
(- (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1))))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (* (sqrt (/ 1 x)) (sqrt -1))) (+ (* -1 (log (/ 1 x))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(* (pow x 2) (sqrt -1))
(* (pow x 2) (+ (sqrt -1) (/ 1 x)))
(* (pow x 2) (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(* (pow x 2) (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(- (log 2) (* -1 (log (/ 1 x))))
(- (log 2) (* -1 (log (/ 1 x))))
(- (log 2) (* -1 (log (/ 1 x))))
(- (log 2) (* -1 (log (/ 1 x))))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (* -1 (log (/ -1 x)))))
(- (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (* -1 (log (/ -1 x))))) (/ 1 (* x (sqrt -1))))
(+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))
(+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))
(log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (* -1 (log (/ -1 x))))
(- (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (* -1 (log (/ -1 x)))) (/ 1 (* x (sqrt -1))))
(+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))
(+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(* -1/2 x)
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (* (pow x 2) (sqrt -1)))
(* (pow x 2) (+ (* -1 (sqrt -1)) (/ 1 x)))
(* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))
(* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(+ (log (sqrt x)) (+ (log (* 2 (sqrt x))) (* -2 (log x))))
(+.f64 (fma.f64 (log.f64 x) #s(literal -2 binary64) (log.f64 (sqrt.f64 x))) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(+ (log (sqrt x)) (+ (log (* 2 (sqrt x))) (+ (* -2 (log x)) (* -1/4 (pow x 2)))))
(+.f64 (fma.f64 (log.f64 x) #s(literal -2 binary64) (log.f64 (sqrt.f64 x))) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(+ (log (sqrt x)) (+ (log (* 2 (sqrt x))) (+ (* -2 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))
(+.f64 (fma.f64 (log.f64 x) #s(literal -2 binary64) (log.f64 (sqrt.f64 x))) (fma.f64 (.f64 (fma.f64 #s(literal -3/32 binary64) (.f64 x x) #s(literal -1/4 binary64)) x) x (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(+ (log (sqrt x)) (+ (log (* 2 (sqrt x))) (+ (* -2 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))
(+.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/96 binary64) (.f64 x x) #s(literal -3/32 binary64)) (.f64 x x) #s(literal -1/4 binary64)) x) x (log.f64 (sqrt.f64 x))) (fma.f64 (log.f64 x) #s(literal -2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(+ (log (sqrt x)) (* -1 (log x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 x))
(+ (log (sqrt x)) (* -1 (log x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 x))
(+ (log (sqrt x)) (* -1 (log x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 x))
(+ (log (sqrt x)) (* -1 (log x)))
(-.f64 (log.f64 (sqrt.f64 x)) (log.f64 x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (log (* 2 (sqrt x))) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (log.f64 x))
(+ (log (* 2 (sqrt x))) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(fma.f64 (.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (log.f64 x)))
(+ (log (* 2 (sqrt x))) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(fma.f64 (.f64 (fma.f64 #s(literal -3/32 binary64) (.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (log.f64 x)))
(+ (log (* 2 (sqrt x))) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/96 binary64) (.f64 x x) #s(literal -3/32 binary64)) (.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (log.f64 x)))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(fma.f64 (.f64 (fma.f64 #s(literal -3/32 binary64) (.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/96 binary64) (.f64 x x) #s(literal -3/32 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(fma.f64 (.f64 (fma.f64 #s(literal -3/32 binary64) (.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/96 binary64) (.f64 x x) #s(literal -3/32 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(fma.f64 (.f64 (fma.f64 #s(literal -3/32 binary64) (.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/96 binary64) (.f64 x x) #s(literal -3/32 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1/2 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ (log 2) (* -1 (log x)))
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(log.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(log.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(log.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(log (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(log.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (* -1 (log (/ -1 x)))) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))
(-.f64 (-.f64 (log.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/6 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x))
(+ (log (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))
(+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x) (-.f64 (log.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(log (* -1 (sqrt -1)))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1 binary64))) x) (sqrt.f64 #s(literal -1 binary64)))
(log (* -1 (sqrt -1)))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1 binary64))) x) (sqrt.f64 #s(literal -1 binary64)))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x)
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x)
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x)
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1 binary64))) x) (sqrt.f64 #s(literal -1 binary64)))
(log (* -1 (sqrt -1)))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 2) (sqrt -1)))
(.f64 (.f64 (neg.f64 x) x) (sqrt.f64 #s(literal -1 binary64)))
(* (pow x 2) (+ (* -1 (sqrt -1)) (/ 1 x)))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x) #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))
(*.f64 (fma.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1 binary64))) x (.f64 (.f64 (neg.f64 x) x) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) x)
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(neg.f64 (fma.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(neg.f64 (fma.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)))
(log (* -1 (sqrt -1)))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite224.0ms (3.2%)

Memory

-5.9MiB live, 188.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	203
0	60	203
1	236	194
2	1753	194
0	8431	186

Stop Event

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

Counts

21 → 654

Calls

Call 1

Inputs
(+.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) (log.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(log.f64 (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(log.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt.f64 #s(literal -1 binary64))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
(fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x)
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 #s(literal 2 binary64))
(log.f64 x)
(neg.f64 x)
(*.f64 x x)

Outputs
(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) #s(literal -1 binary64)))
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(pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (log.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (fma.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal 2 binary64))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))
(log.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(log.f64 #s(literal 2 binary64))
(neg.f64 (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (log.f64 x) #s(literal 0 binary64))
(log.f64 x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval125.0ms (1.8%)

Memory: 16.7MiB live, 174.8MiB allocated
Compiler: Compiled 26 946 to 2 787 computations (89.7% saved)

prune43.0ms (0.6%)

Memory

-32.9MiB live, 52.5MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	997	4	1 001
Fresh	2	2	4
Picked	3	2	5
Done	0	0	0
Total	1 002	8	1 010

Accuracy

100.0%

Counts

1 010 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))))
✓	55.8%	(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
▶	99.6%	(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
	55.8%	(log.f64 (/.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) (.f64 x x)))
▶	98.1%	(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
✓	99.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
▶	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
▶	98.5%	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))))

Compiler

Compiled 248 to 172 computations (30.6% saved)

simplify137.0ms (2%)

Memory

22.7MiB live, 97.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
cost-diff	0	(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
cost-diff	-256	(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
cost-diff	0	(log.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))))
cost-diff	384	(/.f64 x #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))
cost-diff	0	(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
cost-diff	0	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
cost-diff	0	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
cost-diff	0	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
cost-diff	0	(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)))
cost-diff	128	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	262
0	58	262
1	87	258
2	109	251
3	154	247
4	259	241
5	424	241
6	1119	241
7	3422	241
8	4680	239
9	6834	239
0	8201	236

Stop Event

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

Calls

Call 1

Inputs
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
#s(literal 1 binary64)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(log.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)

Outputs
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)))
(log.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(/.f64 x (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(log.f64 (/.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) x))
(/.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 2 binary64)
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)

localize112.0ms (1.6%)

Memory

7.2MiB live, 87.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
accuracy	0.00390625	(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.01171875	(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
accuracy	0.2538543541350414	(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
accuracy	0	(/.f64 x #s(literal 2 binary64))
accuracy	0	(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
accuracy	0	(log.f64 (/.f64 x #s(literal 2 binary64)))
accuracy	0.9645096477166504	#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.2538543541350414	(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
accuracy	1.0603785456914514	#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))
accuracy	0	(*.f64 #s(literal -1/2 binary64) x)
accuracy	0.2538543541350414	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
accuracy	0.47178762445588374	#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
accuracy	62.99851502780633	#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
accuracy	0.00390625	(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.00390625	(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)))
accuracy	0.01171875	(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
accuracy	0.3590096044940084	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))

Samples

92.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 496 to 79 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-div: 15.0ms (23% of total)

ival-sub: 14.0ms (21.5% of total)

ival-log: 14.0ms (21.5% of total)

ival-mult: 8.0ms (12.3% of total)

ival-add: 6.0ms (9.2% of total)

ival-sqrt: 4.0ms (6.1% of total)

ival-neg: 4.0ms (6.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series72.0ms (1%)

Memory

4.6MiB live, 41.7MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(/.f64 x #s(literal 2 binary64))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))))
(log.f64 (/.f64 x #s(literal 2 binary64)))
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))

Outputs
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(+ (log 1/2) (log x))
(+ (log 1/2) (log x))
(+ (log 1/2) (log x))
(+ (log 1/2) (log x))
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (log x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(/ 1 (sqrt -1))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(* -1 (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(log (/ 1 (sqrt -1)))
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (/ 1 x)))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(/ -1 (sqrt -1))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(* -1 (log (/ -1 (sqrt -1))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(* -1/2 x)
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (* x (sqrt -1)))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))

Calls

3 calls:

Time

Variable

Point

Expression

44.0ms

((/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (neg (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)))) (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x))) (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (* -1/2 x) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/ 2 x) (/ x 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log (/ x 2)) (neg (log (/ x 2))) (log (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (+ (sqrt (+ (* (neg x) x) 1)) 1) (sqrt (+ (* (neg x) x) 1)))

16.0ms

-inf

((/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (neg (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)))) (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x))) (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (* -1/2 x) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/ 2 x) (/ x 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log (/ x 2)) (neg (log (/ x 2))) (log (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (+ (sqrt (+ (* (neg x) x) 1)) 1) (sqrt (+ (* (neg x) x) 1)))

10.0ms

inf

((/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (neg (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)))) (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x))) (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (* -1/2 x) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/ 2 x) (/ x 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log (/ x 2)) (neg (log (/ x 2))) (log (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (+ (sqrt (+ (* (neg x) x) 1)) 1) (sqrt (+ (* (neg x) x) 1)))

simplify165.0ms (2.4%)

Memory

8.0MiB live, 130.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	285	2598
1	841	2451
2	2276	2361
3	6351	2325
0	8277	2247

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(+ (log 1/2) (log x))
(+ (log 1/2) (log x))
(+ (log 1/2) (log x))
(+ (log 1/2) (log x))
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (log x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(/ 1 (sqrt -1))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(* -1 (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(log (/ 1 (sqrt -1)))
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (/ 1 x)))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(/ -1 (sqrt -1))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(* -1 (log (/ -1 (sqrt -1))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(* -1/2 x)
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(* -1 (* x (sqrt -1)))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/128 binary64) (.f64 x x) #s(literal 1/16 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* -1 (+ (log 1/2) (log x)))
(neg.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(fma.f64 (.f64 (fma.f64 #s(literal -3/32 binary64) (.f64 x x) #s(literal -1/4 binary64)) x) x (neg.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/96 binary64) (.f64 x x) #s(literal -3/32 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x) x (neg.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(+ (log 1/2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
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(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
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(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x))))
(* -1 (* x (sqrt -1)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) x (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))

rewrite195.0ms (2.8%)

Memory

13.2MiB live, 236.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	214
0	58	212
1	223	191
2	1593	191
0	9150	172

Stop Event

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

Counts

18 → 755

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(/.f64 x #s(literal 2 binary64))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))))
(log.f64 (/.f64 x #s(literal 2 binary64)))
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))

Outputs
(.f64 (/.f64 (pow.f64 (expm1.f64 (log1p.f64 (.f64 x x))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 (expm1.f64 (log1p.f64 (.f64 x x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (pow.f64 (expm1.f64 (log1p.f64 (.f64 x x))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 (expm1.f64 (log1p.f64 (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 (neg.f64 x) x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (neg.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 x (neg.f64 x)))
(.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)))) (/.f64 x (pow.f64 (fma.f64 x (-.f64 x (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (.f64 x x))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (neg.f64 x)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)))) (/.f64 (.f64 x x) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x x) x) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 x x) (neg.f64 x)))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))
(.f64 (/.f64 x (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (.f64 x x))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (neg.f64 x)) #s(literal -1 binary64))))
(.f64 (/.f64 x (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) x))
(*.f64 (/.f64 x (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) x))
(.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) x) #s(literal -1 binary64)) x)
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) #s(literal -1 binary64)))
(.f64 (/.f64 x (expm1.f64 (log1p.f64 (.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 x (expm1.f64 (log1p.f64 (.f64 x x)))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (pow.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 x) x) x))
(*.f64 (pow.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (pow.f64 (expm1.f64 (log1p.f64 (.f64 x x))) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x x) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (neg.f64 x)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x x) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x (neg.f64 x)))
(.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)))) (fma.f64 x (-.f64 x (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) #s(literal -1 binary64)))
(*.f64 (/.f64 x x) (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))
(.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 x) x) (neg.f64 x)))
(.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 x x) x))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (neg.f64 x) x) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) x)))
(.f64 (.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 x x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))
(.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (pow.f64 (/.f64 x x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 x x))
(*.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 x (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 x (/.f64 x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x)))
(*.f64 x (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))
(pow.f64 (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) x) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (*.f64 x x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) x)
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x x))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
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(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))

eval269.0ms (3.9%)

Memory: -14.0MiB live, 287.8MiB allocated
Compiler: Compiled 30 536 to 3 801 computations (87.6% saved)

prune86.0ms (1.2%)

Memory

-20.3MiB live, 104.3MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 326	3	1 329
Fresh	1	0	1
Picked	2	3	5
Done	0	2	2
Total	1 329	8	1 337

Accuracy

100.0%

Counts

1 337 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))))
▶	99.8%	(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
▶	99.3%	(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))))
▶	98.5%	(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))))
✓	55.8%	(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
✓	99.6%	(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
✓	99.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
✓	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))

Compiler

Compiled 160 to 110 computations (31.3% saved)

simplify241.0ms (3.5%)

Memory

-2.9MiB live, 71.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
cost-diff	0	(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
cost-diff	0	(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))
cost-diff	0	(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)))
cost-diff	0	(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	269
0	44	269
1	76	260
2	118	242
3	189	242
4	374	242
5	440	242
6	588	242
7	881	242
8	1169	242
9	1933	242
10	4019	242
11	5683	242
12	6960	242
13	7722	242
0	8020	242

Stop Event

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

Calls

Call 1

Inputs
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)))
#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64))
#s(literal 1/16 binary64)
(*.f64 x x)
x
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)

Outputs
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))))
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)))
(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64))
#s(literal 1/16 binary64)
(*.f64 x x)
x
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)

localize100.0ms (1.4%)

Memory

-1.3MiB live, 80.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
accuracy	0.00390625	(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
accuracy	0.0078125	(.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
accuracy	0.1654694521871847	#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
accuracy	0	(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))))
accuracy	0.00390625	(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)))
accuracy	0.01171875	(.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
accuracy	0.49653439906458596	#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0	(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))))
accuracy	0.00390625	(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x)))
accuracy	1.0600300346022682	#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))

Samples

45.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 466 to 54 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 11.0ms (32.7% of total)

ival-sqrt: 6.0ms (17.8% of total)

ival-add: 6.0ms (17.8% of total)

ival-div: 3.0ms (8.9% of total)

ival-log: 3.0ms (8.9% of total)

ival-neg: 3.0ms (8.9% of total)

exact: 1.0ms (3% of total)

adjust: 0.0ms (0% of total)

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

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

series6.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)))
#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)

Outputs
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* -1 (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(log (/ 1 (sqrt -1)))
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(/ 1 (sqrt -1))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(log (/ 1 (sqrt -1)))
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(/ 1 (sqrt -1))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(log (/ 1 (sqrt -1)))
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(/ 1 (sqrt -1))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(* 1/16 (pow x 5))
(* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* -1 (log (/ -1 (sqrt -1))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(/ -1 (sqrt -1))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 (log (/ -1 (sqrt -1))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(/ -1 (sqrt -1))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (log (/ -1 (sqrt -1))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(/ -1 (sqrt -1))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(* 1/16 (pow x 5))
(* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((neg (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)))) (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x))) (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (* 1/2 x) (neg (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)))) (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x))) (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (* (+ (* (* x x) 1/8) 1/2) x) (neg (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)))) (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x))) (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (* (+ (* (+ (* 1/16 (* x x)) 1/8) (* x x)) 1/2) x))

2.0ms

inf

((neg (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)))) (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x))) (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (* 1/2 x) (neg (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)))) (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x))) (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (* (+ (* (* x x) 1/8) 1/2) x) (neg (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)))) (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x))) (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (* (+ (* (+ (* 1/16 (* x x)) 1/8) (* x x)) 1/2) x))

1.0ms

((neg (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)))) (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x))) (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (* 1/2 x) (neg (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)))) (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x))) (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (* (+ (* (* x x) 1/8) 1/2) x) (neg (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)))) (log (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x))) (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (* (+ (* (+ (* 1/16 (* x x)) 1/8) (* x x)) 1/2) x))

simplify193.0ms (2.8%)

Memory

-13.6MiB live, 178.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	2100
1	518	1956
2	1439	1885
3	3668	1853
0	8249	1788

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 5/96 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 5/128 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* -1 (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(log (/ 1 (sqrt -1)))
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(/ 1 (sqrt -1))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(log (/ 1 (sqrt -1)))
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(/ 1 (sqrt -1))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (log (/ 1 (sqrt -1))))
(- (/ 1 (* x (sqrt -1))) (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))
(- (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))) (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))
(log (/ 1 (sqrt -1)))
(- (log (/ 1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))) (/ 1 (* x (sqrt -1))))
(- (+ (log (/ 1 (sqrt -1))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))
(/ 1 (sqrt -1))
(- (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1/2 (* (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))) (/ 1 (* x (pow (sqrt -1) 2))))
(- (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 5))))))
(* 1/16 (pow x 5))
(* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* -1 (log (/ -1 (sqrt -1))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(/ -1 (sqrt -1))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 (log (/ -1 (sqrt -1))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(/ -1 (sqrt -1))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (log (/ -1 (sqrt -1))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(/ -1 (sqrt -1))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(* 1/16 (pow x 5))
(* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))

Outputs
(* -1 (+ (log 1/2) (log x)))
(neg.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(-.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/32 binary64) (-.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))
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(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(* 1/16 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/16 binary64))
(* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (log (/ -1 (sqrt -1))))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (/.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(log (/ -1 (sqrt -1)))
(log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (/.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))) x) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(/ -1 (sqrt -1))
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal -1 binary64)) x))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (log (/ -1 (sqrt -1))))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (/.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(log (/ -1 (sqrt -1)))
(log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (/.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))) x) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(/ -1 (sqrt -1))
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal -1 binary64)) x))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* 1/8 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* -1 (log (/ -1 (sqrt -1))))
(log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(- (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)) (log (/ -1 (sqrt -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (/.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(- (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)) (log (/ -1 (sqrt -1))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))
(log (/ -1 (sqrt -1)))
(log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+ (log (/ -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) x)))
(-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (/.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(+ (log (/ -1 (sqrt -1))) (* -1 (/ (- (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3))) (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1)))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))) x) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(/ -1 (sqrt -1))
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (+ (/ 1 (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2)))))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ (* 1/2 (/ 1 (* x (pow (sqrt -1) 3)))) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal -1 binary64)) x))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) x)) (/ 1 (pow (sqrt -1) 2))) x)) (/ 1 (sqrt -1)))
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* 1/16 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/16 binary64))
(* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/8 binary64)) x) x) #s(literal -1/16 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/8 binary64)) x) x) #s(literal -1/16 binary64)) (pow.f64 x #s(literal 5 binary64)))

rewrite175.0ms (2.5%)

Memory

14.2MiB live, 170.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	231
0	44	231
1	158	204
2	999	204
0	8749	204

Stop Event

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

Counts

12 → 150

Calls

Call 1

Inputs
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)))
#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x)
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)

Outputs
(.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ ( (neg x) x) 1)) 1) x)) (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ ( (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ ( (neg x) x) 1)) 1) x)) (.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ ( (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(.f64 #s(literal -1 binary64) (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ ( (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ ( (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ ( (neg x) x) 1)) 1) x)) (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ ( (neg x) x) 1)) 1) x)) (.f64 #s(literal 1/2 binary64) x)))))) (-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ ( (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ ( (neg x) x) 1)) 1) x)) (.f64 #s(literal 1/2 binary64) x))))) (.f64 #s(literal 0 binary64) (neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))) (neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ ( (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ ( (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 0 binary64))))
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(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) (neg.f64 x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)))
(/.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x)) (.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) (.f64 x x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x) x (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64))))
(fma.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64))))

eval51.0ms (0.7%)

Memory: 15.4MiB live, 52.3MiB allocated
Compiler: Compiled 10 747 to 811 computations (92.5% saved)

prune28.0ms (0.4%)

Memory

0.5MiB live, 38.1MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	294	0	294
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	294	8	302

Accuracy

100.0%

Counts

302 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))))
✓	99.8%	(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
✓	99.3%	(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))))
✓	98.5%	(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))))
✓	55.8%	(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
✓	99.6%	(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
✓	99.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
✓	0.0%	(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))

Compiler

Compiled 468 to 210 computations (55.1% saved)

regimes68.0ms (1%)

Memory

-13.8MiB live, 76.8MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)))
(log.f64 (/.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x) (.f64 x x)))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) x))))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(+.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) (log.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)))))

Outputs

(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))

Calls

3 calls:

57.0ms

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

5.0ms

(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

5.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.8%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes22.0ms (0.3%)

Memory

-4.9MiB live, 32.8MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)))

Outputs
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))))

Calls

3 calls:

16.0ms

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

3.0ms

(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

3.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.3%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes9.0ms (0.1%)

Memory

-6.7MiB live, 32.7MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))))

Outputs
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))))

Calls

3 calls:

3.0ms

(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

3.0ms

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
98.5%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes5.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))

Outputs
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))

Calls

3 calls:

1.0ms

(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

1.0ms

(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))

1.0ms

Results

Accuracy	Segments	Branch
0.0%	1	`x`
0.0%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
0.0%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify76.0ms (1.1%)

Memory

1.9MiB live, 46.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	99
1	57	99
2	63	99
3	66	99

Stop Event

1×

saturated

Calls

Call 1

Inputs
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))))
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))

Outputs
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))))
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) x))))
(neg.f64 (log.f64 #s(approx (/ 1 (/ (+ (sqrt (+ (* (neg x) x) 1)) 1) x)) (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))))

soundness715.0ms (10.3%)

Memory

-6.1MiB live, 383.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	2598
1	841	2451
2	2276	2361
3	6351	2325
0	8277	2247
0	231	2796
1	638	2652
2	1750	2591
3	5387	2564
0	8390	2474
0	155	767
1	409	742
2	1098	722
3	3208	709
4	7995	709
0	8477	680
0	9	42
0	16	42
1	69	42
2	624	38
3	7596	38
0	8354	38

Stop Event

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

Compiler

Compiled 177 to 102 computations (42.4% saved)

preprocess45.0ms (0.6%)

Memory: 17.7MiB live, 54.7MiB allocated
Compiler: Compiled 224 to 106 computations (52.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0%)

sample1.6s (22.8%)

explain236.0ms (3.4%)

preprocess367.0ms (5.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify369.0ms (5.3%)

localize51.0ms (0.7%)

series6.0ms (0.1%)

simplify261.0ms (3.8%)

rewrite183.0ms (2.6%)

eval47.0ms (0.7%)

prune16.0ms (0.2%)

simplify97.0ms (1.4%)

localize204.0ms (2.9%)

series162.0ms (2.3%)

simplify204.0ms (2.9%)

rewrite224.0ms (3.2%)

eval125.0ms (1.8%)

prune43.0ms (0.6%)

simplify137.0ms (2%)

localize112.0ms (1.6%)

series72.0ms (1%)

simplify165.0ms (2.4%)

rewrite195.0ms (2.8%)

eval269.0ms (3.9%)

prune86.0ms (1.2%)

simplify241.0ms (3.5%)

localize100.0ms (1.4%)

series6.0ms (0.1%)

simplify193.0ms (2.8%)

rewrite175.0ms (2.5%)

eval51.0ms (0.7%)

prune28.0ms (0.4%)

regimes68.0ms (1%)

regimes22.0ms (0.3%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

simplify76.0ms (1.1%)

soundness715.0ms (10.3%)

preprocess45.0ms (0.6%)

end0.0ms (0%)

Profiling