Metrics for bug500, discussion (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze106.0ms (0.9%)

Memory

6.6MiB live, 92.9MiB 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
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
50.4%	50.4%	49.6%	0%	0%	0%	0%	9
51%	51%	49%	0%	0%	0%	0%	10
51.3%	51.2%	48.7%	0%	0%	0%	0%	11
51.3%	51.3%	48.7%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample4.0s (33.4%)

Memory

-204.6MiB live, 3 526.9MiB allocated

Samples

2.3s	5 531×	2	valid
785.0ms	7 870×	1	exit
328.0ms	2 391×	1	valid
22.0ms	334×	0	valid
1.0ms	1×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-log: 1.2s (44.9% of total)

ival-sinh: 710.0ms (26.9% of total)

ival-div: 515.0ms (19.5% of total)

adjust: 211.0ms (8% of total)

ival-true: 14.0ms (0.5% of total)

ival-assert: 6.0ms (0.2% of total)

Bogosity

explain237.0ms (2%)

Memory

-28.7MiB live, 208.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
134	119	(1.3165726342018972e-256)	-	`(log.f64 (/.f64 (sinh.f64 x) x))`
0	0	-	-	`(sinh.f64 x)`
0	0	-	-	`(/.f64 (sinh.f64 x) x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 (sinh.f64 x) x))`	sensitivity	247	0
`log.f64`	`(log.f64 (/.f64 (sinh.f64 x) x))`	oflow-rescue	6	0
↳	`(sinh.f64 x)`	overflow	6
↳	`(/.f64 (sinh.f64 x) x)`	overflow	6

Confusion

	Predicted +	Predicted -
+	134	1
-	119	2

Precision

0.5296442687747036

Recall

0.9925925925925926

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	1
-	119	0	2

Precision?

0.5296442687747036

Recall?

0.9925925925925926

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

164.0ms	342×	2	valid
21.0ms	144×	1	valid
2.0ms	26×	0	valid

Compiler

Compiled 34 to 16 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-log: 89.0ms (54% of total)

ival-sinh: 57.0ms (34.6% of total)

ival-div: 11.0ms (6.7% of total)

adjust: 8.0ms (4.9% of total)

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

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

preprocess169.0ms (1.4%)

Memory

14.7MiB live, 105.0MiB allocated

Algorithm

1×	egg-herbie

Rules

536×	`lower-fma.f64`
536×	`lower-fma.f32`
392×	`lower-*.f64`
392×	`lower-*.f32`
324×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	20	15
2	53	15
3	148	15
4	446	15
5	1346	15
6	2402	15
7	2924	15
8	3206	15
9	3244	15
10	3246	15
11	3246	15
0	4	5
0	7	5
1	13	5
2	26	5
3	52	5
4	93	5
5	178	5
6	374	5
7	644	5
8	1118	5
9	1798	5
10	1910	5
11	1972	5
12	2145	5
13	2345	5
14	2419	5
15	2456	5
16	2456	5
17	2480	5
0	2480	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log.f64 (/.f64 (sinh.f64 x) x))

Outputs
(log.f64 (/.f64 (sinh.f64 x) x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.9%	(log.f64 (/.f64 (sinh.f64 x) x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify100.0ms (0.8%)

Memory

-8.5MiB live, 29.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sinh.f64 x)
cost-diff	0	(/.f64 (sinh.f64 x) x)
cost-diff	0	(log.f64 (/.f64 (sinh.f64 x) x))

Rules

536×	`lower-fma.f64`
536×	`lower-fma.f32`
392×	`lower-*.f64`
392×	`lower-*.f32`
292×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	7	12
1	13	12
2	26	12
3	52	12
4	93	12
5	178	12
6	374	12
7	644	12
8	1118	12
9	1798	12
10	1910	12
11	1972	12
12	2145	12
13	2345	12
14	2419	12
15	2456	12
16	2456	12
17	2480	12
0	2480	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
x

Outputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
x

localize100.0ms (0.8%)

Memory

-10.6MiB live, 103.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (sinh.f64 x) x)
accuracy	0.0078125	(sinh.f64 x)
accuracy	30.112313209940954	(log.f64 (/.f64 (sinh.f64 x) x))

Samples

68.0ms	171×	2	valid
18.0ms	72×	1	valid
1.0ms	13×	0	valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-log: 45.0ms (60.7% of total)

ival-sinh: 20.0ms (27% of total)

ival-div: 5.0ms (6.7% of total)

adjust: 4.0ms (5.4% of total)

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

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

series80.0ms (0.7%)

Memory

26.1MiB live, 62.2MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())

Inputs

#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())

#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())

#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
52.0ms	x	@	inf	(log (/ (sinh x) x))
26.0ms	x	@	-inf	(log (/ (sinh x) x))
2.0ms	x	@	0	(log (/ (sinh x) x))
0.0ms	x	@	0	(/ (sinh x) x)
0.0ms	x	@	0	(sinh x)

simplify223.0ms (1.8%)

Memory

6.8MiB live, 190.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 046×	`lower-fma.f64`
8 046×	`lower-fma.f32`
2 281×	`lower-*.f64`
2 281×	`lower-*.f32`
1 078×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	394
1	157	390
2	395	384
3	1186	384
4	2106	384
5	3935	384
6	4551	380
7	4952	380
8	6424	380
0	8057	362

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))) (log.f64 x))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) (log.f64 (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x x) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))

rewrite217.0ms (1.8%)

Memory

5.7MiB live, 225.8MiB allocated

Rules

2 012×	`lower-*.f64`
2 012×	`lower-*.f32`
1 842×	`lower-/.f32`
1 841×	`lower-/.f64`
1 008×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
0	7	11
1	23	11
2	124	11
3	931	11
0	8549	11

Stop Event

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

Counts

3 → 444

Calls

Call 1

Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)

Outputs
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (sinh.f64 x)))))
(.f64 (.f64 (log.f64 (.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))) (log.f64 (/.f64 (sinh.f64 x) x))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))))
(.f64 (.f64 (log.f64 (.f64 x (sinh.f64 x))) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (.f64 x (sinh.f64 x))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))))
(.f64 (.f64 (log.f64 (.f64 x (sinh.f64 x))) (log.f64 (/.f64 (sinh.f64 x) x))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 x (sinh.f64 x)))))
(.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (.f64 (neg.f64 (log.f64 x)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x)))))))
(.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))
(*.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 x (sinh.f64 x))))) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x (sinh.f64 x)))))) (+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x (sinh.f64 x))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 (.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (.f64 (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))))) (log.f64 (/.f64 x (sinh.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (+.f64 x x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x))))) (-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 x (sinh.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x (sinh.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 x (sinh.f64 x)))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x (sinh.f64 x)))) (.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 (.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)) (fma.f64 (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (+.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))) (.f64 (log.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))) (log.f64 (/.f64 (sinh.f64 x) x)))
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))) (log.f64 (/.f64 (sinh.f64 x) x)))) (neg.f64 (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (sinh.f64 x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 x) (log.f64 (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (.f64 x (sinh.f64 x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 (sinh.f64 x))) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 x (sinh.f64 x)))) (.f64 (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (log.f64 (.f64 x (sinh.f64 x))) (log.f64 (*.f64 x (sinh.f64 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (.f64 (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (fma.f64 (log.f64 x) (log.f64 (.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (/.f64 x (sinh.f64 x))))
(/.f64 (.f64 (log.f64 (.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))) (log.f64 (/.f64 (sinh.f64 x) x))) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64))) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))
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(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
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(+.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (neg.f64 (neg.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sinh.f64 x))

eval71.0ms (0.6%)

Memory: -5.8MiB live, 105.3MiB allocated
Compiler: Compiled 9 124 to 1 605 computations (82.4% saved)

prune76.0ms (0.6%)

Memory

10.7MiB live, 168.7MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	467	12	479
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	467	13	480

Accuracy

97.8%

Counts

480 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.8%	(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
	23.1%	(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 x)))
▶	53.0%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
✓	52.9%	(log.f64 (/.f64 (sinh.f64 x) x))
	52.9%	(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x))))
	52.5%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶	52.3%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))
	51.9%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))))
	1.7%	#s(approx (log (/ (sinh x) x)) (-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))) (log.f64 x)))
▶	96.7%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
▶	96.8%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	96.3%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	96.0%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))

Compiler

Compiled 296 to 186 computations (37.2% saved)

simplify137.0ms (1.1%)

Memory

-9.4MiB live, 140.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sinh.f64 x)
cost-diff	0	(/.f64 x (sinh.f64 x))
cost-diff	0	(log.f64 (/.f64 x (sinh.f64 x)))
cost-diff	0	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
cost-diff	0	(fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))

Rules

2 956×	`lower-fma.f32`
2 949×	`lower-fma.f64`
1 522×	`lower-*.f32`
1 513×	`lower-*.f64`
762×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	270
0	63	270
1	111	270
2	189	270
3	426	270
4	953	270
5	1585	270
6	2329	270
7	2975	270
8	3530	270
9	4237	270
10	4736	270
11	5223	270
0	8027	270

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))
(*.f64 #s(literal 1/2835 binary64) x)
#s(literal 1/2835 binary64)
x
#s(literal -1/180 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64))
(.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x)
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
#s(literal -1/37800 binary64)
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) x)
#s(literal 1/120 binary64)
x
#s(literal 1/6 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(log.f64 (/.f64 x (sinh.f64 x)))
(/.f64 x (sinh.f64 x))
x
(sinh.f64 x)

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (.f64 x x)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 #s(literal 1/2835 binary64) x)
#s(literal 1/2835 binary64)
x
#s(literal -1/180 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (log (/ (sinh x) x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/37800 binary64) x) x #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/37800 binary64) x) x #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/37800 binary64) x) x #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/37800 binary64) x) x #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64))
(.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x)
(.f64 (fma.f64 (.f64 #s(literal -1/37800 binary64) x) x #s(literal 1/2835 binary64)) x)
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(fma.f64 (*.f64 #s(literal -1/37800 binary64) x) x #s(literal 1/2835 binary64))
#s(literal -1/37800 binary64)
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) x)
#s(literal 1/120 binary64)
x
#s(literal 1/6 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(log.f64 (/.f64 x (sinh.f64 x)))
(/.f64 x (sinh.f64 x))
x
(sinh.f64 x)

localize347.0ms (2.9%)

Memory

4.0MiB live, 413.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
accuracy	0.00390625	(/.f64 x (sinh.f64 x))
accuracy	0.0078125	(sinh.f64 x)
accuracy	30.047023514859376	(log.f64 (/.f64 x (sinh.f64 x)))
accuracy	0.01953125	(fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.07421875	(*.f64 #s(literal 1/120 binary64) x)
accuracy	2.018329516378206	#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	30.112313209940954	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))
accuracy	0.0234375	(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.16015625	(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
accuracy	0.4140625	(.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x)
accuracy	1.9771175535759056	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
accuracy	0.11328125	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
accuracy	0.33203125	(*.f64 x #s(literal 1/6 binary64))
accuracy	2.426375417079553	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
accuracy	0.1171875	(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.328125	(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0.4140625	(*.f64 #s(literal 1/2835 binary64) x)
accuracy	1.92703366995599	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))

Samples

214.0ms	171×	2	valid
80.0ms	72×	1	valid
5.0ms	13×	0	valid

Compiler

Compiled 225 to 38 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-log: 78.0ms (32.1% of total)

ival-mult: 43.0ms (17.7% of total)

const: 31.0ms (12.8% of total)

ival-div: 27.0ms (11.1% of total)

adjust: 26.0ms (10.7% of total)

ival-sinh: 20.0ms (8.2% of total)

ival-add: 15.0ms (6.2% of total)

ival-neg: 3.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series111.0ms (0.9%)

Memory

3.4MiB live, 41.5MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))) (patch #s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (patch (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))) (patch (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) (patch (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 x (sinh.f64 x))) (patch (log.f64 (/.f64 x (sinh.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2835 binary64) x) (patch (.f64 #s(literal 1/2835 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/120 binary64) x) (patch (.f64 #s(literal 1/120 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 6)) (taylor inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 6)) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 5)) (taylor inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* 1/120 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) (patch (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) (patch (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) (patch (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) (patch (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) (patch (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) (patch (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) (patch (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) (patch (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) (patch (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) (patch (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) (patch (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) (patch (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (log.f64 (/.f64 x (sinh.f64 x))) (patch (log.f64 (/.f64 x (sinh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/180 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (log.f64 (/.f64 x (sinh.f64 x))) (patch (log.f64 (/.f64 x (sinh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (log.f64 (/.f64 x (sinh.f64 x))) (patch (log.f64 (/.f64 x (sinh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6)) (taylor 0 x) (#s(alt (log.f64 (/.f64 x (sinh.f64 x))) (patch (log.f64 (/.f64 x (sinh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x (sinh.f64 x))) (patch (log.f64 (/.f64 x (sinh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x (sinh.f64 x))) (patch (log.f64 (/.f64 x (sinh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x (sinh.f64 x))) (patch (log.f64 (/.f64 x (sinh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x (sinh.f64 x))) (patch (log.f64 (/.f64 x (sinh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x (sinh.f64 x))) (patch (log.f64 (/.f64 x (sinh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x (sinh.f64 x))) (patch (log.f64 (/.f64 x (sinh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x (sinh.f64 x))) (patch (log.f64 (/.f64 x (sinh.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x (sinh.f64 x))) (patch (log.f64 (/.f64 x (sinh.f64 x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) (taylor 0 x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) (taylor 0 x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp x) (/ 1 (exp x))))) (taylor inf x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp x) (/ 1 (exp x))))) (taylor inf x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp x) (/ 1 (exp x))))) (taylor inf x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp x) (/ 1 (exp x))))) (taylor inf x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2835 binary64) x) (patch (.f64 #s(literal 1/2835 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2835 binary64) x) (patch (.f64 #s(literal 1/2835 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2835 binary64) x) (patch (.f64 #s(literal 1/2835 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/2835 binary64) x) (patch (.f64 #s(literal 1/2835 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2835 binary64) x) (patch (.f64 #s(literal 1/2835 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2835 binary64) x) (patch (.f64 #s(literal 1/2835 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2835 binary64) x) (patch (.f64 #s(literal 1/2835 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2835 binary64) x) (patch (.f64 #s(literal 1/2835 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2835 binary64) x) (patch (.f64 #s(literal 1/2835 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2835 binary64) x) (patch (.f64 #s(literal 1/2835 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2835 binary64) x) (patch (.f64 #s(literal 1/2835 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2835 binary64) x) (patch (.f64 #s(literal 1/2835 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2835 (* -1/37800 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2835 (* -1/37800 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2835 (* -1/37800 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/37800 (pow x 3)) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/37800 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/120 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/120 binary64) x) (patch (.f64 #s(literal 1/120 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/120 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/120 binary64) x) (patch (.f64 #s(literal 1/120 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/120 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/120 binary64) x) (patch (.f64 #s(literal 1/120 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/120 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/120 binary64) x) (patch (.f64 #s(literal 1/120 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/120 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/120 binary64) x) (patch (.f64 #s(literal 1/120 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/120 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/120 binary64) x) (patch (.f64 #s(literal 1/120 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/120 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/120 binary64) x) (patch (.f64 #s(literal 1/120 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/120 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/120 binary64) x) (patch (.f64 #s(literal 1/120 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/120 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/120 binary64) x) (patch (.f64 #s(literal 1/120 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/120 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/120 binary64) x) (patch (.f64 #s(literal 1/120 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/120 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/120 binary64) x) (patch (.f64 #s(literal 1/120 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/120 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/120 binary64) x) (patch (.f64 #s(literal 1/120 binary64) x) #<representation binary64>) () ())) ())

Calls

66 calls:

Time	Variable		Point	Expression
54.0ms	x	@	inf	(neg (log (/ x (sinh x))))
39.0ms	x	@	-inf	(neg (log (/ x (sinh x))))
1.0ms	x	@	0	(neg (log (/ x (sinh x))))
1.0ms	x	@	inf	(* (* (+ (* (+ (* (* 1/2835 x) x) -1/180) (* x x)) 1/6) x) x)
1.0ms	x	@	inf	(* (+ (* (+ (* (* (+ (* -1/37800 (* x x)) 1/2835) x) x) -1/180) (* x x)) 1/6) (* x x))

simplify248.0ms (2%)

Memory

-11.4MiB live, 172.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 939×	`lower-fma.f64`
6 939×	`lower-fma.f32`
2 255×	`lower-*.f64`
2 255×	`lower-*.f32`
1 392×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	2692
1	464	2646
2	1163	2642
3	3398	2642
4	6174	2642
0	8185	2511

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 263

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(* -1/37800 (pow x 4))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 4))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/180 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* -1/37800 (pow x 3))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 3))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/37800 binary64) x) x #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* 1/2835 (pow x 6))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) #s(literal -1/2835 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(* 1/2835 (pow x 6))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) #s(literal -1/2835 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
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(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)

rewrite332.0ms (2.7%)

Memory

3.3MiB live, 227.1MiB allocated

Rules

2 249×	`lower-*.f32`
2 240×	`lower-*.f64`
2 239×	`lower-/.f32`
2 238×	`lower-/.f64`
1 827×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	233
0	63	232
1	211	232
2	1334	232
0	8140	232

Stop Event

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

Counts

22 → 484

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64))
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(log.f64 (/.f64 x (sinh.f64 x)))
(/.f64 x (sinh.f64 x))
(sinh.f64 x)
(*.f64 #s(literal 1/2835 binary64) x)
(.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x)
(*.f64 #s(literal 1/120 binary64) x)

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/36 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
(.f64 x (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/36 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/36 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))))
(.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)
(.f64 x (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x))) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x))) (-.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x))) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)))) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x))) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/36 binary64)) x)) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) x)) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))))
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eval101.0ms (0.8%)

Memory: 3.0MiB live, 115.7MiB allocated
Compiler: Compiled 23 626 to 2 047 computations (91.3% saved)

prune328.0ms (2.7%)

Memory

-23.0MiB live, 140.1MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	733	14	747
Fresh	2	5	7
Picked	1	4	5
Done	0	1	1
Total	736	24	760

Accuracy

97.9%

Counts

760 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.8%	(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
	23.1%	(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 x)))
	3.1%	(neg.f64 (log.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))))))
✓	53.0%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	3.2%	(neg.f64 (log.f64 (/.f64 x #s(approx (sinh x) (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))))))
✓	52.9%	(log.f64 (/.f64 (sinh.f64 x) x))
	52.9%	(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x))))
	52.5%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	52.3%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))
▶	51.9%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))))
	2.3%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* (* 1/120 x) x) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) x) x))))
	1.9%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* (* 1/120 x) x) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/120 binary64)) x))))
	96.3%	#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	96.0%	#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	96.7%	#s(approx (log (/ (sinh x) x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) x) x) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
	96.7%	#s(approx (log (/ (sinh x) x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) x) x) (*.f64 x x))))
▶	96.8%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))))
▶	94.8%	#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))))
	96.3%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 #s(approx (+ ( (* (+ (* -1/37800 (* x x)) 1/2835) x) x) -1/180) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
	96.8%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) x))
▶	96.8%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x))
✓	96.8%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	96.7%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) x))
✓	96.0%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))

Compiler

Compiled 859 to 420 computations (51.1% saved)

simplify182.0ms (1.5%)

Memory

31.6MiB live, 147.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))))
cost-diff	128	(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))
cost-diff	1664	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))
cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))))
cost-diff	1088	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
cost-diff	0	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))

Rules

4 428×	`lower-fma.f32`
4 423×	`lower-fma.f64`
2 194×	`lower-*.f32`
2 182×	`lower-*.f64`
917×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	682
0	69	682
1	143	650
2	437	525
3	2575	525
4	6669	519
0	8556	511

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 x x)
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))
#s(literal 1/36 binary64)
(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)
#s(literal 1/216 binary64)

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (.f64 x x)))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (.f64 x x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(*.f64 x x)
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (.f64 x x)))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (.f64 x x))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))
(.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) x) x))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x) (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 (*.f64 x x) x) x)
(*.f64 x x)
x
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) (.f64 x x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) x) x)
(fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64))
(fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2835 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x)) x) (.f64 (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64)) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)
(.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)
#s(literal 1/216 binary64)

localize759.0ms (6.3%)

Memory

-1.4MiB live, 399.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
accuracy	0.33203125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	1.29210741494876	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))
accuracy	1.92703366995599	#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))))
accuracy	0.0078125	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))
accuracy	0.33203125	(*.f64 x #s(literal 1/6 binary64))
accuracy	2.228128503943125	#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)))
accuracy	30.112313209940954	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
accuracy	0.15625	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))
accuracy	0.25390625	(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
accuracy	1.92703366995599	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))))
accuracy	0	(*.f64 x x)
accuracy	0.16015625	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	2.426375417079553	#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
accuracy	0.1171875	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)
accuracy	0.25390625	(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
accuracy	1.92703366995599	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x))

Samples

433.0ms	171×	2	valid
95.0ms	72×	1	valid
5.0ms	13×	0	valid

Compiler

Compiled 608 to 41 computations (93.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 352.0ms

ival-log: 199.0ms (56.6% of total)

ival-mult: 38.0ms (10.8% of total)

ival-div: 32.0ms (9.1% of total)

const: 26.0ms (7.4% of total)

adjust: 21.0ms (6% of total)

ival-sinh: 19.0ms (5.4% of total)

ival-add: 11.0ms (3.1% of total)

ival-neg: 3.0ms (0.9% of total)

ival-sub: 2.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.4%)

Memory

-20.5MiB live, 17.3MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 1/6 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)))) (patch (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh x) x) (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))) (patch #s(approx (/ (sinh x) x) (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x))) (patch (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 5)) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 5)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
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#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* -1/180 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2835 (pow x 2)) 1/180)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2835 (pow x 2)) 1/180)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2835 (pow x 2)) 1/180)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 3)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ 1 (/ (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (* (+ (* (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (* (* (+ (* (* x x) 1/2835) -1/180) x) x)) 1/216) (* x x))))
1.0ms	x	@	0	(/ 1 (/ (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (* (+ (* (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (* (* (+ (* (* x x) 1/2835) -1/180) x) x)) 1/216) (* x x))))
0.0ms	x	@	inf	(+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))))
0.0ms	x	@	-inf	(/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6))
0.0ms	x	@	0	(+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))))

simplify299.0ms (2.5%)

Memory

10.8MiB live, 166.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 076×	`lower-fma.f64`
5 076×	`lower-fma.f32`
1 798×	`lower-*.f64`
1 798×	`lower-*.f32`
1 523×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	2326
1	481	2294
2	1160	2290
3	2738	2290
4	5870	2274
0	8112	2179

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
1/36
(+ 1/36 (* 1/1080 (pow x 2)))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2)))))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400)))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
1/36
(+ 1/36 (* 1/1080 (pow x 2)))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -1/17010 (pow x 2)))))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -1/17010 (pow x 2)))))
(* -1/17010 (pow x 4))
(* (pow x 4) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010))
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010))
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010))
(* -1/17010 (pow x 4))
(* (pow x 4) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010))
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010))
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1/180 x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* 1/2835 (pow x 3))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)

Outputs
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* 1/2835 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2835 binary64))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/2835 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/2835 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* 1/2835 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2835 binary64))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/2835 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/2835 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/37800 binary64) x) x #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* 1/2835 (pow x 6))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2835 binary64))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2835 binary64))))
(* 1/2835 (pow x 6))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2835 binary64))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2835 binary64))))
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal -19/3150 binary64) x) x #s(literal 1/5 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -59/94500 binary64) (.f64 x x) #s(literal -19/3150 binary64)) (.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(/ 2835 (pow x 4))
(/.f64 #s(literal 2835 binary64) (.f64 (.f64 (*.f64 x x) x) x))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (.f64 x x)) #s(literal 2835 binary64)) (.f64 (.f64 (.f64 x x) x) x))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal -10180485/16 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal -178605/4 binary64) (.f64 x x)) #s(literal -2835 binary64))) (.f64 (.f64 (*.f64 x x) x) x))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1991624355/64 binary64) (.f64 x x)) #s(literal 10180485/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal -178605/4 binary64) (.f64 x x)) #s(literal -2835 binary64))) (.f64 (.f64 (.f64 x x) x) x))
(/ 2835 (pow x 4))
(/.f64 #s(literal 2835 binary64) (.f64 (.f64 (*.f64 x x) x) x))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (.f64 x x)) #s(literal 2835 binary64)) (.f64 (.f64 (.f64 x x) x) x))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/.f64 (-.f64 (/.f64 #s(literal -10180485/16 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal -178605/4 binary64) (.f64 x x)) #s(literal -2835 binary64))) (.f64 (.f64 (*.f64 x x) x) x))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1991624355/64 binary64) (.f64 x x)) #s(literal 10180485/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal -178605/4 binary64) (.f64 x x)) #s(literal -2835 binary64))) (.f64 (.f64 (.f64 x x) x) x))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/37800 binary64) x) x #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(neg.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(neg.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(neg.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(neg.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(-.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x 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)
(pow x 2)
(*.f64 x x)
(pow x 2)
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(fma.f64 (-.f64 (/.f64 #s(literal 1/1080 binary64) (.f64 x x)) #s(literal 1/17010 binary64)) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/36 binary64))
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010))
(fma.f64 (-.f64 (/.f64 #s(literal 1/1080 binary64) (.f64 x x)) #s(literal 1/17010 binary64)) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/36 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/37800 binary64) x) x #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1/180 x)
(*.f64 #s(literal -1/180 binary64) x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x)
(* 1/2835 (pow x 3))
(.f64 (.f64 #s(literal 1/2835 binary64) x) (*.f64 x x))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x)
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x)
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x)
(* 1/2835 (pow x 3))
(.f64 (.f64 #s(literal 1/2835 binary64) x) (*.f64 x x))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))

rewrite386.0ms (3.2%)

Memory

12.8MiB live, 328.6MiB allocated

Rules

2 930×	`lower-fma.f32`
2 925×	`lower-fma.f64`
2 195×	`lower-/.f32`
2 190×	`lower-/.f64`
2 129×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	376
0	69	252
1	270	236
2	1964	236
0	8441	236

Stop Event

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

Counts

19 → 704

Calls

Call 1

Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))
(*.f64 x #s(literal 1/6 binary64))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))
(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)

Outputs
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) (.f64 (.f64 x x) x)) x (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)) (neg.f64 x) #s(literal 1/36 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) (.f64 (.f64 x x) x)) x (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)) (neg.f64 x) #s(literal 1/36 binary64))) (+.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x) (.f64 x x)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal -1/36 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (.f64 x x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x) (.f64 x x)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal -1/36 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)) (neg.f64 x) #s(literal 1/36 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)) (neg.f64 x) #s(literal 1/36 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)) (neg.f64 x) #s(literal 1/36 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal 6 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)))) (.f64 (.f64 (.f64 x x) x) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)) (neg.f64 x) #s(literal 1/36 binary64)) (-.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)) (neg.f64 x) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) (.f64 (.f64 (.f64 x x) x) x))))))))
(.f64 (/.f64 x (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) (.f64 (.f64 x x) x)) x (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)) (neg.f64 x) #s(literal 1/36 binary64))) (+.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x) (.f64 x x)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal -1/36 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (.f64 x x))))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x) (.f64 x x)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal -1/36 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))))))
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(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/32400 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal 1/180 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/5832000 binary64)))) (neg.f64 (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/32400 binary64) (.f64 (*.f64 x x) #s(literal -1/510300 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/32400 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal 1/180 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/5832000 binary64)) x) (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/32400 binary64) (.f64 (*.f64 x x) #s(literal -1/510300 binary64)))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/32400 binary64))) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal 1/180 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/5832000 binary64))) (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/32400 binary64) (.f64 (*.f64 x x) #s(literal -1/510300 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal 1/180 binary64)) (.f64 (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1/32400 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) #s(literal -1/510300 binary64)))) (.f64 (fma.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)) #s(literal -1/5832000 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal 1/180 binary64)) (.f64 x (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1/32400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) #s(literal -1/510300 binary64)))) (.f64 x (fma.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)) #s(literal -1/5832000 binary64)))))
(fma.f64 (.f64 #s(literal 1/2835 binary64) (.f64 x x)) x (*.f64 #s(literal -1/180 binary64) x))
(fma.f64 #s(literal -1/180 binary64) x (.f64 (.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x))
(fma.f64 x (.f64 #s(literal 1/2835 binary64) (.f64 x x)) (*.f64 x #s(literal -1/180 binary64)))
(fma.f64 x #s(literal -1/180 binary64) (.f64 x (.f64 #s(literal 1/2835 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal 1/2835 binary64) (.f64 x x)) x) (.f64 #s(literal -1/180 binary64) x))
(+.f64 (.f64 #s(literal -1/180 binary64) x) (.f64 (.f64 #s(literal 1/2835 binary64) (.f64 x x)) x))
(+.f64 (.f64 x (.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 x #s(literal -1/180 binary64)))
(+.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x (.f64 #s(literal 1/2835 binary64) (.f64 x x))))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))

eval218.0ms (1.8%)

Memory: 36.0MiB live, 457.0MiB allocated
Compiler: Compiled 94 336 to 3 178 computations (96.6% saved)

prune192.0ms (1.6%)

Memory

-30.2MiB live, 370.7MiB allocated

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	1 490	10	1 500
Fresh	3	11	14
Picked	3	2	5
Done	0	5	5
Total	1 496	28	1 524

Accuracy

97.9%

Counts

1 524 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.8%	(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
	23.1%	(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 x)))
	3.1%	(neg.f64 (log.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))))))
✓	53.0%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	3.2%	(neg.f64 (log.f64 (/.f64 x #s(approx (sinh x) (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))))))
✓	52.9%	(log.f64 (/.f64 (sinh.f64 x) x))
▶	52.9%	(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x))))
	52.5%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	52.3%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))
✓	51.9%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))))
	2.3%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* (* 1/120 x) x) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) x) x))))
	1.9%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* (* 1/120 x) x) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/120 binary64)) x))))
	2.3%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x 1/6) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
▶	94.4%	#s(approx (neg (log (/ x (sinh x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)))
	96.3%	#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x))
✓	96.0%	#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	96.7%	#s(approx (log (/ (sinh x) x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) x) x) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
	96.6%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (fma.f64 (.f64 #s(literal -19/3150 binary64) x) x #s(literal 1/5 binary64)) (.f64 x x) #s(literal 6 binary64)))))
	96.6%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))))
	96.0%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))))
▶	93.9%	#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))))
	96.7%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
	96.3%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 #s(approx (+ ( (* (+ (* -1/37800 (* x x)) 1/2835) x) x) -1/180) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
▶	96.7%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x))
▶	96.1%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x))
✓	96.8%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	96.7%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) x))
✓	96.0%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))

Compiler

Compiled 767 to 410 computations (46.5% saved)

simplify402.0ms (3.3%)

Memory

2.0MiB live, 199.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sinh.f64 x)
cost-diff	0	(/.f64 x (sinh.f64 x))
cost-diff	0	(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x)))
cost-diff	0	#s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (neg (log (/ x (sinh x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff	0	#s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64)))
cost-diff	0	(.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x))
cost-diff	0	#s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64))))
cost-diff	0	(.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x))

Rules

4 645×	`lower-fma.f32`
4 642×	`lower-fma.f64`
2 149×	`lower-*.f32`
2 138×	`lower-*.f64`
807×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	678
0	91	665
1	172	639
2	489	510
3	2725	510
4	6619	510
0	8046	489

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)
(/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64))))
x
#s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))
(fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64))
(*.f64 #s(literal 1/5 binary64) x)
#s(literal 1/5 binary64)
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64)))
x
#s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (neg (log (/ x (sinh x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))
#s(literal 1 binary64)
(/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))
#s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
#s(literal 1/216 binary64)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x)))
#s(literal 1 binary64)
(/.f64 x (sinh.f64 x))
x
(sinh.f64 x)

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x))
#s(approx (neg (log (/ x (sinh x)))) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))
x
#s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))
(fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))
(*.f64 #s(literal 1/5 binary64) x)
#s(literal 1/5 binary64)
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x))
#s(approx (neg (log (/ x (sinh x)))) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x)
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64)))
(/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64)))
x
#s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (neg (log (/ x (sinh x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 x x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #s(literal 1/216 binary64)) #s(approx (+ ( (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #s(literal 1/216 binary64)) #s(approx (+ ( (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64))) (*.f64 x x))
#s(literal 1 binary64)
(/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))
(/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #s(literal 1/216 binary64)) (.f64 x x)))
#s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #s(literal 1/216 binary64)) (.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64))
(fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #s(literal 1/216 binary64))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2835 binary64) (.f64 x x) #s(literal 1/180 binary64)) (.f64 x x)) x) (.f64 (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64)) x))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 (*.f64 x x) x) x)
(*.f64 x x)
x
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
#s(literal 1/216 binary64)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x))))
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x)))
(/.f64 (sinh.f64 x) x)
#s(literal 1 binary64)
(/.f64 x (sinh.f64 x))
x
(sinh.f64 x)

localize701.0ms (5.8%)

Memory

10.8MiB live, 544.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 x (sinh.f64 x))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x)))
accuracy	0.0078125	(sinh.f64 x)
accuracy	30.112313209940954	(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x))))
accuracy	0.25390625	(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
accuracy	1.29210741494876	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))
accuracy	1.92703366995599	#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))))
accuracy	2.5285073865338146	#s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64))
accuracy	0.1328125	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0.16015625	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64))
accuracy	1.1858647553575818	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	2.426375417079553	#s(approx (neg (log (/ x (sinh x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)))
accuracy	0.0078125	(/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64)))
accuracy	0.1171875	(.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x)
accuracy	1.92703366995599	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x))
accuracy	2.494444528415499	#s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))
accuracy	0.1171875	(.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)
accuracy	0.3828125	(*.f64 #s(literal 1/5 binary64) x)
accuracy	1.92703366995599	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x))
accuracy	2.0848054732917043	#s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))

Samples

496.0ms	171×	2	valid
73.0ms	72×	1	valid
5.0ms	13×	0	valid

Compiler

Compiled 550 to 46 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 528.0ms

ival-sub: 175.0ms (33.1% of total)

ival-log: 140.0ms (26.5% of total)

ival-mult: 67.0ms (12.7% of total)

adjust: 34.0ms (6.4% of total)

ival-div: 34.0ms (6.4% of total)

const: 31.0ms (5.9% of total)

ival-sinh: 29.0ms (5.5% of total)

ival-add: 12.0ms (2.3% of total)

ival-neg: 5.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory

-7.5MiB live, 29.0MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) (patch (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64))) (patch #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (/ x (sinh x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64))) (patch #s(approx (neg (log (/ x (sinh x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))) (patch (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (patch #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x))) #<representation binary64>) () ())
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#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/5 binary64) x) (patch (.f64 #s(literal 1/5 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 6)) (taylor inf x) (#s(alt (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 6)) (taylor -inf x) (#s(alt (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) (taylor 0 x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) (taylor 0 x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp x) (/ 1 (exp x))))) (taylor inf x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp x) (/ 1 (exp x))))) (taylor inf x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp x) (/ 1 (exp x))))) (taylor inf x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp x) (/ 1 (exp x))))) (taylor inf x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/5 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/5 binary64) x) (patch (.f64 #s(literal 1/5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/5 binary64) x) (patch (.f64 #s(literal 1/5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/5 binary64) x) (patch (.f64 #s(literal 1/5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5 x) (taylor 0 x) (#s(alt (.f64 #s(literal 1/5 binary64) x) (patch (.f64 #s(literal 1/5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/5 binary64) x) (patch (.f64 #s(literal 1/5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/5 binary64) x) (patch (.f64 #s(literal 1/5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/5 binary64) x) (patch (.f64 #s(literal 1/5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/5 binary64) x) (patch (.f64 #s(literal 1/5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/5 binary64) x) (patch (.f64 #s(literal 1/5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/5 binary64) x) (patch (.f64 #s(literal 1/5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/5 binary64) x) (patch (.f64 #s(literal 1/5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/5 binary64) x) (patch (.f64 #s(literal 1/5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1/180 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2835 (pow x 2)) 1/180)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2835 (pow x 2)) 1/180)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2835 (pow x 2)) 1/180)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 3)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())

Calls

66 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* 1/5 x)
0.0ms	x	@	inf	(* 1/5 x)
0.0ms	x	@	0	(* 1/5 x)
0.0ms	x	@	0	(/ (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (* (+ (* (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (* (* (+ (* (* x x) 1/2835) -1/180) x) x)) 1/216) (* x x)))
0.0ms	x	@	inf	(/ (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (* (+ (* (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (* (* (+ (* (* x x) 1/2835) -1/180) x) x)) 1/216) (* x x)))

simplify234.0ms (1.9%)

Memory

14.8MiB live, 241.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 636×	`lower-fma.f64`
6 636×	`lower-fma.f32`
2 267×	`lower-*.f64`
2 267×	`lower-*.f32`
1 696×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	2838
1	509	2796
2	1238	2792
3	3412	2792
4	7116	2792
0	8128	2686

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 263

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(/ 6 (pow x 2))
(/ (+ 6 (* 1/5 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) (pow x 2))
(/ 2835 (pow x 6))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 6))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 6))
(/ 2835 (pow x 6))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 6))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 6))
1/36
(+ 1/36 (* 1/1080 (pow x 2)))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2)))))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400)))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* -1/180 x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* 1/2835 (pow x 3))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* 1/2835 (pow x 6))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) #s(literal -1/2835 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) #s(literal -1/2835 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(* 1/2835 (pow x 6))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) #s(literal -1/2835 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) #s(literal -1/2835 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* 1/2835 (pow x 5))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) #s(literal 1/2835 binary64))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) #s(literal -1/2835 binary64)))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) #s(literal -1/2835 binary64)))
(* 1/2835 (pow x 5))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) #s(literal 1/2835 binary64))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) #s(literal -1/2835 binary64)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) #s(literal -1/2835 binary64)))
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal -19/3150 binary64) x) x #s(literal 1/5 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -59/94500 binary64) x) x #s(literal -19/3150 binary64)) x) x #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(/ 2835 (pow x 4))
(/.f64 #s(literal 2835 binary64) (.f64 (.f64 (*.f64 x x) x) x))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (.f64 x x)) #s(literal 2835 binary64)) (.f64 (.f64 (.f64 x x) x) x))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (.f64 x x)) #s(literal 2835 binary64)) (/.f64 #s(literal 10180485/16 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (*.f64 x x) x) x))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (.f64 x x)) #s(literal 2835 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1991624355/64 binary64) (.f64 x x)) #s(literal 10180485/16 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 x x) x) x))
(/ 2835 (pow x 4))
(/.f64 #s(literal 2835 binary64) (.f64 (.f64 (*.f64 x x) x) x))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (.f64 x x)) #s(literal 2835 binary64)) (.f64 (.f64 (.f64 x x) x) x))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (.f64 x x)) #s(literal 2835 binary64)) (/.f64 #s(literal 10180485/16 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (*.f64 x x) x) x))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (.f64 x x)) #s(literal 2835 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1991624355/64 binary64) (.f64 x x)) #s(literal 10180485/16 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 x x) x) x))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* 1/2835 (pow x 6))
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(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (.f64 x x)) #s(literal 2835 binary64)) (/.f64 #s(literal 10180485/16 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 6))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (.f64 x x)) #s(literal 2835 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1991624355/64 binary64) (.f64 x x)) #s(literal 10180485/16 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* 1/1080 (pow x 2)))
(fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal -19/680400 binary64) x) x #s(literal 1/1080 binary64)) (.f64 x x) #s(literal 1/36 binary64))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400)))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/255150 binary64) x) x #s(literal -19/680400 binary64)) x) x #s(literal 1/1080 binary64)) (*.f64 x x) #s(literal 1/36 binary64))
(* 1/8037225 (pow x 8))
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/8037225 binary64))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (*.f64 x x) x) x)))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/255150 binary64) (/.f64 #s(literal 19/680400 binary64) (.f64 x x))) (.f64 x x)) #s(literal 1/8037225 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/255150 binary64) (/.f64 #s(literal 19/680400 binary64) (.f64 x x))) (.f64 x x)) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/1080 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (*.f64 x x) x) x)))
(* 1/8037225 (pow x 8))
(.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/8037225 binary64))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (*.f64 x x) x) x)))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/255150 binary64) (/.f64 #s(literal 19/680400 binary64) (.f64 x x))) (.f64 x x)) #s(literal 1/8037225 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/255150 binary64) (/.f64 #s(literal 19/680400 binary64) (.f64 x x))) (.f64 x x)) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/1080 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (*.f64 x x) x) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))
(fma.f64 (.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (.f64 x x) #s(literal 7/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)) x) (.f64 x x) x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/5 x)
(*.f64 #s(literal 1/5 binary64) x)
(* 1/5 x)
(*.f64 #s(literal 1/5 binary64) x)
(* 1/5 x)
(*.f64 #s(literal 1/5 binary64) x)
(* 1/5 x)
(*.f64 #s(literal 1/5 binary64) x)
(* 1/5 x)
(*.f64 #s(literal 1/5 binary64) x)
(* 1/5 x)
(*.f64 #s(literal 1/5 binary64) x)
(* 1/5 x)
(*.f64 #s(literal 1/5 binary64) x)
(* 1/5 x)
(*.f64 #s(literal 1/5 binary64) x)
(* 1/5 x)
(*.f64 #s(literal 1/5 binary64) x)
(* 1/5 x)
(*.f64 #s(literal 1/5 binary64) x)
(* 1/5 x)
(*.f64 #s(literal 1/5 binary64) x)
(* 1/5 x)
(*.f64 #s(literal 1/5 binary64) x)
(* -1/180 x)
(*.f64 #s(literal -1/180 binary64) x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
(* 1/2835 (pow x 3))
(.f64 (.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x)
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
(* 1/2835 (pow x 3))
(.f64 (.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x)
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)

rewrite339.0ms (2.8%)

Memory

17.3MiB live, 373.9MiB allocated

Rules

3 104×	`lower-fma.f32`
3 101×	`lower-fma.f64`
2 309×	`lower-*.f32`
2 298×	`lower-*.f64`
1 888×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	523
0	91	457
1	318	407
2	2205	407
0	8715	392

Stop Event

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

Counts

22 → 491

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x)
(/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64))))
#s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))))
(/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))
#s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x))))
(/.f64 x (sinh.f64 x))
(sinh.f64 x)
(*.f64 #s(literal 1/5 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)

Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
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(-.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64))) (log.f64 x))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 x)))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (neg.f64 (neg.f64 (sinh.f64 x)))) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (log.f64 (*.f64 x #s(literal 2 binary64))))
(-.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) x)))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 x))) (log.f64 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))))
(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (.f64 x #s(literal 2 binary64))))
(-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (sinh.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x))))
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 x))) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) (log.f64 (neg.f64 (sinh.f64 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sinh.f64 x)))))
(+.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))
(+.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 0 binary64))
(log.f64 (/.f64 (sinh.f64 x) x))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64)) x)
(*.f64 (pow.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 x))))
(.f64 (pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)) x)
(.f64 (/.f64 x (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 x))) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x)
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sinh.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 x) (sinh.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sinh.f64 x)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 x))))
(*.f64 (/.f64 x (sinh.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x)))
(*.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(*.f64 x (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(pow.f64 (/.f64 (/.f64 (sinh.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sinh.f64 x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (sinh.f64 x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (sinh.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (sinh.f64 x)))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (sinh.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 x)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (sinh.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (neg.f64 x) (sinh.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sinh.f64 x) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sinh.f64 x) x)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (sinh.f64 x)))
(/.f64 (/.f64 x (sinh.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sinh.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sinh.f64 x) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) x))
(/.f64 x (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 x (sinh.f64 x))
(neg.f64 (/.f64 (neg.f64 x) (sinh.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 x)))) (/.f64 x (.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x))) (/.f64 (neg.f64 x) (sinh.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (sinh.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/5 binary64) x)
(*.f64 x #s(literal 1/5 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/180 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) x) (-.f64 (.f64 (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal -1/180 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) x) (.f64 #s(literal -1/180 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/180 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/180 binary64) x) (.f64 #s(literal -1/180 binary64) x) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) x)) (.f64 (.f64 #s(literal -1/180 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal -1/180 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (-.f64 (.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x #s(literal -1/180 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x #s(literal -1/180 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x #s(literal -1/180 binary64)) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/32400 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/5832000 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/32400 binary64) (.f64 (*.f64 x x) #s(literal -1/510300 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/32400 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/5832000 binary64)))) (neg.f64 (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/32400 binary64) (.f64 (*.f64 x x) #s(literal -1/510300 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/32400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/5832000 binary64)) x) (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/32400 binary64) (.f64 (*.f64 x x) #s(literal -1/510300 binary64)))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/32400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/5832000 binary64))) (fma.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/32400 binary64) (.f64 (*.f64 x x) #s(literal -1/510300 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) x (*.f64 #s(literal -1/180 binary64) x))
(fma.f64 #s(literal -1/180 binary64) x (.f64 (.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x #s(literal -1/180 binary64)))
(fma.f64 x #s(literal -1/180 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) x) (.f64 #s(literal -1/180 binary64) x))
(+.f64 (.f64 #s(literal -1/180 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) x))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x #s(literal -1/180 binary64)))
(+.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))))

eval122.0ms (1%)

Memory: 5.8MiB live, 162.0MiB allocated
Compiler: Compiled 16 873 to 1 693 computations (90% saved)

prune174.0ms (1.4%)

Memory

-16.9MiB live, 230.2MiB allocated

Pruning

27 alts after pruning (17 fresh and 10 done)

	Pruned	Kept	Total
New	751	3	754
Fresh	2	14	16
Picked	2	3	5
Done	0	7	7
Total	755	27	782

Accuracy

97.9%

Counts

782 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.8%	(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
	23.1%	(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 x)))
	3.1%	(neg.f64 (log.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))))))
✓	53.0%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	3.2%	(neg.f64 (log.f64 (/.f64 x #s(approx (sinh x) (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))))))
✓	52.9%	(log.f64 (/.f64 (sinh.f64 x) x))
✓	52.9%	(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x))))
	52.5%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	52.3%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))
✓	51.9%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))))
	2.3%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* (* 1/120 x) x) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) x) x))))
	1.9%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* (* 1/120 x) x) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/120 binary64)) x))))
	2.3%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x 1/6) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
	94.4%	#s(approx (neg (log (/ x (sinh x)))) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
	95.9%	#s(approx (neg (log (/ x (sinh x)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) x))
	96.3%	#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x))
✓	96.0%	#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	96.7%	#s(approx (log (/ (sinh x) x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) x) x) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
	96.6%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (fma.f64 (.f64 #s(literal -19/3150 binary64) x) x #s(literal 1/5 binary64)) (.f64 x x) #s(literal 6 binary64)))))
	96.0%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))))
	96.1%	#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64)) x)))
	96.3%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 #s(approx (+ ( (* (+ (* -1/37800 (* x x)) 1/2835) x) x) -1/180) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
✓	96.7%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x))
✓	96.1%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x))
✓	96.8%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	96.7%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) x))
✓	96.0%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))

Compiler

Compiled 1 001 to 358 computations (64.2% saved)

regimes61.0ms (0.5%)

Memory

12.1MiB live, 48.8MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 #s(approx (+ ( (* (+ (* -1/37800 (* x x)) 1/2835) x) x) -1/180) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))))
#s(approx (neg (log (/ x (sinh x)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (neg (log (/ x (sinh x)))) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (fma.f64 (.f64 #s(literal -19/3150 binary64) x) x #s(literal 1/5 binary64)) (.f64 x x) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) x) x) (*.f64 x x))))
#s(approx (log (/ (sinh x) x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) x) x) (.f64 x x) (.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* x x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) (+ (* (* x x) 1/2835) -1/180))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x 1/6) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* (* 1/120 x) x) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/120 binary64)) x))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* (* 1/120 x) x) 1/6) (* x x)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) x) x))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)))))
(log.f64 (/.f64 (sinh.f64 x) x))
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x))))
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 x)))
(neg.f64 (log.f64 (/.f64 x #s(approx (sinh x) (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))))))
#s(approx (log (/ (sinh x) x)) (-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))) (log.f64 x)))
(neg.f64 (log.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))))))

Outputs

#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x))

Calls

3 calls:

40.0ms	(/.f64 (sinh.f64 x) x)
11.0ms	x
9.0ms	(log.f64 (/.f64 (sinh.f64 x) x))

Results

Accuracy	Segments	Branch
96.8%	1	`x`
96.8%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
96.8%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes29.0ms (0.2%)

Memory

-9.1MiB live, 34.9MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 #s(approx (+ ( (* (+ (* -1/37800 (* x x)) 1/2835) x) x) -1/180) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))))
#s(approx (neg (log (/ x (sinh x)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (neg (log (/ x (sinh x)))) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (fma.f64 (.f64 #s(literal -19/3150 binary64) x) x #s(literal 1/5 binary64)) (.f64 x x) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))

Calls

3 calls:

19.0ms	(/.f64 (sinh.f64 x) x)
6.0ms	x
4.0ms	(log.f64 (/.f64 (sinh.f64 x) x))

Results

Accuracy	Segments	Branch
96.8%	1	`x`
96.8%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
96.8%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes33.0ms (0.3%)

Memory

-12.1MiB live, 24.6MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 #s(approx (+ ( (* (+ (* -1/37800 (* x x)) 1/2835) x) x) -1/180) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))))
#s(approx (neg (log (/ x (sinh x)))) (*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (neg (log (/ x (sinh x)))) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x))

Calls

3 calls:

25.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
4.0ms	x
3.0ms	(/.f64 (sinh.f64 x) x)

Results

Accuracy	Segments	Branch
96.7%	1	`x`
96.7%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
96.7%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes9.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 #s(approx (+ ( (* (+ (* -1/37800 (* x x)) 1/2835) x) x) -1/180) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64)) x)))

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Calls

3 calls:

3.0ms	x
2.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
2.0ms	(/.f64 (sinh.f64 x) x)

Results

Accuracy	Segments	Branch
96.3%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
96.3%	1	`(/.f64 (sinh.f64 x) x)`
96.3%	1	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes15.0ms (0.1%)

Memory

-24.4MiB live, 12.6MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))))

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x))

Calls

3 calls:

11.0ms	(/.f64 (sinh.f64 x) x)
2.0ms	x
2.0ms	(log.f64 (/.f64 (sinh.f64 x) x))

Results

Accuracy	Segments	Branch
96.1%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
96.1%	1	`(/.f64 (sinh.f64 x) x)`
96.1%	1	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0%)

Memory

11.3MiB live, 11.3MiB allocated

Accuracy

Total -0.1b remaining (-3%)

Threshold costs -0.1b (-3%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (neg (log (/ x (sinh x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))

Calls

3 calls:

1.0ms	x
1.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
1.0ms	(/.f64 (sinh.f64 x) x)

Results

Accuracy	Segments	Branch
96.0%	1	`x`
96.0%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
96.0%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify6.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	130
1	63	130

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (fma.f64 (*.f64 #s(literal 1/5 binary64) x) x #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

soundness760.0ms (6.3%)

Memory

-11.9MiB live, 440.1MiB allocated

Rules

8 046×	`lower-fma.f64`
8 046×	`lower-fma.f32`
5 076×	`lower-fma.f64`
5 076×	`lower-fma.f32`
2 281×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	394
1	157	390
2	395	384
3	1186	384
4	2106	384
5	3935	384
6	4551	380
7	4952	380
8	6424	380
0	8057	362
0	35	233
0	63	232
1	211	232
2	1334	232
0	8140	232
0	190	2326
1	481	2294
2	1160	2290
3	2738	2290
4	5870	2274
0	8112	2179

Stop Event

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

Compiler

Compiled 211 to 116 computations (45% saved)

preprocess84.0ms (0.7%)

Memory: -6.8MiB live, 143.4MiB allocated
Compiler: Compiled 216 to 102 computations (52.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze106.0ms (0.9%)

sample4.0s (33.4%)

explain237.0ms (2%)

preprocess169.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify100.0ms (0.8%)

localize100.0ms (0.8%)

series80.0ms (0.7%)

simplify223.0ms (1.8%)

rewrite217.0ms (1.8%)

eval71.0ms (0.6%)

prune76.0ms (0.6%)

simplify137.0ms (1.1%)

localize347.0ms (2.9%)

series111.0ms (0.9%)

simplify248.0ms (2%)

rewrite332.0ms (2.7%)

eval101.0ms (0.8%)

prune328.0ms (2.7%)

simplify182.0ms (1.5%)

localize759.0ms (6.3%)

series43.0ms (0.4%)

simplify299.0ms (2.5%)

rewrite386.0ms (3.2%)

eval218.0ms (1.8%)

prune192.0ms (1.6%)

simplify402.0ms (3.3%)

localize701.0ms (5.8%)

series44.0ms (0.4%)

simplify234.0ms (1.9%)

rewrite339.0ms (2.8%)

eval122.0ms (1%)

prune174.0ms (1.4%)

regimes61.0ms (0.5%)

regimes29.0ms (0.2%)

regimes33.0ms (0.3%)

regimes9.0ms (0.1%)

regimes15.0ms (0.1%)

regimes4.0ms (0%)

simplify6.0ms (0.1%)

soundness760.0ms (6.3%)

preprocess84.0ms (0.7%)

end0.0ms (0%)

Profiling