Metrics for bug500, discussion (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze102.0ms (1%)

Memory

-11.1MiB live, 106.7MiB 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 (38.9%)

Memory

-109.5MiB live, 3 246.4MiB allocated

Samples

2.4s	5 572×	2	valid
689.0ms	7 968×	1	exit
350.0ms	2 319×	1	valid
24.0ms	365×	0	valid
1.0ms	1×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 2.7s

ival-log: 1.2s (45% of total)

ival-sinh: 987.0ms (36.3% of total)

ival-div: 251.0ms (9.2% of total)

adjust: 237.0ms (8.7% of total)

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

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

Bogosity

explain206.0ms (2%)

Memory

12.1MiB live, 137.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
130	124	(2.8594015145327294e-244)	-	`(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	252	0
`log.f64`	`(log.f64 (/.f64 (sinh.f64 x) x))`	oflow-rescue	2	0
↳	`(sinh.f64 x)`	overflow	2
↳	`(/.f64 (sinh.f64 x) x)`	overflow	2

Confusion

	Predicted +	Predicted -
+	130	0
-	124	2

Precision

0.5118110236220472

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	124	0	2

Precision?

0.5118110236220472

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

147.0ms	356×	2	valid
20.0ms	144×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 33 to 16 computations (51.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-log: 91.0ms (61.7% of total)

ival-sinh: 38.0ms (25.8% of total)

ival-div: 10.0ms (6.8% of total)

adjust: 7.0ms (4.7% of total)

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

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

preprocess192.0ms (1.9%)

Memory

-20.0MiB live, 99.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1 072×	`lower-fma.f64`
1 072×	`lower-fma.f32`
784×	`lower-*.f64`
784×	`lower-*.f32`
648×	`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 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.7%	(log.f64 (/.f64 (sinh.f64 x) x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify101.0ms (1%)

Memory

6.5MiB live, 45.6MiB 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

1 072×	`lower-fma.f64`
1 072×	`lower-fma.f32`
784×	`lower-*.f64`
784×	`lower-*.f32`
584×	`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

localize104.0ms (1%)

Memory

-0.6MiB live, 84.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(sinh.f64 x)
accuracy	0.00390625	(/.f64 (sinh.f64 x) x)
accuracy	29.619349092560103	(log.f64 (/.f64 (sinh.f64 x) x))

Samples

87.0ms	178×	2	valid
10.0ms	72×	1	valid
0.0ms	6×	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: 38.0ms (51.2% of total)

ival-sinh: 19.0ms (25.6% of total)

adjust: 11.0ms (14.8% of total)

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

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

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

series61.0ms (0.6%)

Memory

4.3MiB live, 78.7MiB 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 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 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 (+ (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 (* 1/2 (/ (- (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)))) (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 (+ (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 (* 1/2 (/ (- (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)))) (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

3 calls:

Time	Variable		Point	Expression
32.0ms	x	@	inf	((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))
27.0ms	x	@	-inf	((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))
2.0ms	x	@	0	((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))

simplify163.0ms (1.6%)

Memory

-10.8MiB live, 147.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16 092×	`lower-fma.f64`
16 092×	`lower-fma.f32`
4 562×	`lower-*.f64`
4 562×	`lower-*.f32`
2 156×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	394
1	157	390
2	395	384
3	1185	384
4	2108	384
5	3947	384
6	4556	380
7	4957	380
8	6431	380
0	8051	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))))
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)))))))
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))))))))
(+ (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)))
(* 1/2 (/ (- (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))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp 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)))
(* 1/2 (/ (- (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))))
(* 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 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 (.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)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 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 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) 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))
(* 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))))
(*.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))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.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))))
(*.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))

rewrite163.0ms (1.6%)

Memory

24.5MiB live, 144.4MiB allocated

Rules

4 024×	`lower-*.f64`
4 024×	`lower-*.f32`
3 684×	`lower-/.f32`
3 682×	`lower-/.f64`
2 016×	`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 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (/.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 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 (.f64 x (sinh.f64 x))) #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))) (/.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))) (pow.f64 (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 -1 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 #s(literal 2 binary64) x)) (log.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (.f64 #s(literal 2 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) 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))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #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 #s(literal 2 binary64) 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 #s(literal 2 binary64) x)) (log.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (.f64 #s(literal 2 binary64) 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))) (fma.f64 (log.f64 x) (log.f64 x) (-.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 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) 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 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))) (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 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 4 binary64)) (+.f64 (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))))
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(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(-.f64 (.f64 (sinh.f64 #s(literal 0 binary64)) (cosh.f64 x)) (.f64 (cosh.f64 #s(literal 0 binary64)) (sinh.f64 (neg.f64 x))))
(-.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) (neg.f64 (sinh.f64 x)))
(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)))
(+.f64 (.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)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.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) (/.f64 #s(literal -1 binary64) (exp.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))

eval84.0ms (0.8%)

Memory: -19.3MiB live, 54.4MiB allocated
Compiler: Compiled 9 039 to 1 618 computations (82.1% saved)

prune32.0ms (0.3%)

Memory

-9.8MiB live, 35.7MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	472	7	479
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	472	8	480

Accuracy

99.1%

Counts

480 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.7%	(log.f64 (/.f64 (sinh.f64 x) x))
	53.2%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	53.1%	(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))))
▶	52.9%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
▶	98.1%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	98.2%	#s(approx (log (/ (sinh x) x)) (.f64 (.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))
▶	97.9%	#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))
▶	97.9%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 191 to 128 computations (33% saved)

simplify163.0ms (1.6%)

Memory

25.9MiB live, 98.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

10 704×	`lower-fma.f32`
10 690×	`lower-fma.f64`
4 074×	`lower-*.f32`
4 058×	`lower-*.f64`
2 186×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	280
0	52	280
1	97	280
2	174	280
3	393	280
4	872	280
5	1503	280
6	1925	280
7	2436	280
8	2929	280
9	3539	280
10	3727	280
11	4045	280
12	6698	280
0	8165	280

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

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

localize448.0ms (4.4%)

Memory

-6.6MiB live, 276.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy	1.0759141905930951	#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy	29.619349092560103	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
accuracy	0.015625	(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
accuracy	0.09375	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.3359375	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0.9853914878110837	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0.015625	(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.09375	(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.33984375	(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	1.1057512572053507	#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))
accuracy	0	(*.f64 x x)
accuracy	0.22265625	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	1.1207964366041232	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.01171875	(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
accuracy	0.09375	(.f64 (.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)
accuracy	0.33984375	(.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)
accuracy	0.9358280542241282	#s(approx (log (/ (sinh x) x)) (.f64 (.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))

Samples

260.0ms	178×	2	valid
136.0ms	72×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 237 to 32 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 347.0ms

ival-mult: 149.0ms (43% of total)

const: 102.0ms (29.4% of total)

ival-log: 35.0ms (10.1% of total)

adjust: 22.0ms (6.3% of total)

ival-sinh: 20.0ms (5.8% of total)

ival-add: 13.0ms (3.7% of total)

ival-div: 5.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series72.0ms (0.7%)

Memory

-4.6MiB live, 33.5MiB allocated

Counts

20 → 240

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

51.0ms

-inf

((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (+ (* 1/2835 (* x x)) -1/180) (+ (* -1/37800 (* x x)) 1/2835))

10.0ms

inf

((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (+ (* 1/2835 (* x x)) -1/180) (+ (* -1/37800 (* x x)) 1/2835))

2.0ms

((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (+ (* 1/2835 (* x x)) -1/180) (+ (* -1/37800 (* x x)) 1/2835))

simplify177.0ms (1.7%)

Memory

-7.8MiB live, 72.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 696×	`lower-fma.f64`
9 696×	`lower-fma.f32`
3 398×	`lower-*.f64`
3 398×	`lower-*.f32`
2 104×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	2446
1	360	2426
2	967	2426
3	2729	2426
4	7107	2426
0	8078	2303

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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))))
(* 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))))
(* 1/6 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))))
1/6
(+ 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)))
(* 1/6 (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))))
(* 1/6 (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)
(* 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))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* -1/180 (pow x 2))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (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))))
(* 1/6 (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))))
(* 1/6 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) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
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)))
(* 1/6 (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
(+ 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
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(- (* 1/2835 (pow x 2)) 1/180)
(- (* 1/2835 (pow x 2)) 1/180)
1/2835
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ (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)))
(* 1/2835 (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 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 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)))))
(+ (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (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 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (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)))
(* -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 7))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 7) (- (+ (* 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)))))
(+ (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)))
(* 1/2 (/ (- (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 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/2835 (pow x 2))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(+ (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)))
(* 1/2835 (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 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))))))
(* 1/2835 (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)))))
(+ (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (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 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (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)))
(* -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 7))
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(* -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)))))
(+ (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)))
(* 1/2 (/ (- (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 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/2835 (pow x 2))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))

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 (.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)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #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))
(.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 (.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)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.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 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))))
(.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)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
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(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
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(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
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(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/37800 binary64))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
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(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
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(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2835 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/37800 binary64))))
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(* 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))))
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(* 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))
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(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
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(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
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(.f64 #s(literal -1/37800 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))

rewrite254.0ms (2.5%)

Memory

2.4MiB live, 195.8MiB allocated

Rules

7 082×	`lower-fma.f32`
7 068×	`lower-fma.f64`
4 874×	`lower-*.f32`
4 858×	`lower-*.f64`
4 302×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	240
0	52	240
1	192	240
2	1262	240
0	8434	240

Stop Event

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

Counts

20 → 425

Calls

Call 1

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

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 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))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 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 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 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 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 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 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 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))) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 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))) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 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 #s(literal 1/36 binary64) (.f64 x 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 #s(literal 1/36 binary64) (.f64 x 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 #s(literal 1/36 binary64) (.f64 x 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 #s(literal 1/36 binary64) (.f64 x 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)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 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 #s(literal 1/36 binary64) (.f64 x 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)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 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 #s(literal 1/36 binary64) (.f64 x 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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 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 #s(literal 1/36 binary64) (.f64 x 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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 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 #s(literal 1/36 binary64) (.f64 x 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 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 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 (neg.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 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 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 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 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 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))))
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(/.f64 (.f64 (fma.f64 #s(literal 1/2917096519063104000000000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/519180508397705765625 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/37800 binary64) (.f64 x x)) #s(literal 4 binary64)) (+.f64 #s(literal 1/64596985700625 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/11483908569000000 binary64)))) (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal -1/2835 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/2917096519063104000000000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/519180508397705765625 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/22785532875 binary64)) (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 x x) #s(literal -1/107163000 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal -1/157552826393269144631808000000000000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/11829804542155138297225482421875 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/2917096519063104000000000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/519180508397705765625 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/1230650093979747000000000 binary64)))) (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8037225 binary64) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal -1/2835 binary64))) (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal -1/2835 binary64)) #s(literal 1/8037225 binary64))) (.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal -1/2835 binary64)) (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal -1/2835 binary64))))
(/.f64 (-.f64 #s(literal 1/8037225 binary64) (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/2835 binary64) (.f64 #s(literal -1/37800 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8037225 binary64))) (neg.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64))) (neg.f64 (+.f64 #s(literal 1/8037225 binary64) (-.f64 (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64))) (neg.f64 (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 x x) #s(literal -1/107163000 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)))))
(/.f64 (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8037225 binary64)) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))
(/.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64)) (+.f64 #s(literal 1/8037225 binary64) (-.f64 (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))
(/.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64)) (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 x x) #s(literal -1/107163000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2835 binary64) (.f64 #s(literal -1/37800 binary64) (.f64 x x))) (-.f64 #s(literal 1/8037225 binary64) (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8037225 binary64) (-.f64 (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))) (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))
(fma.f64 (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal -1/2835 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(fma.f64 x (*.f64 #s(literal -1/37800 binary64) x) #s(literal 1/2835 binary64))
(-.f64 (/.f64 #s(literal 1/8037225 binary64) (-.f64 #s(literal 1/2835 binary64) (.f64 #s(literal -1/37800 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/2835 binary64) (.f64 #s(literal -1/37800 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal -1/2835 binary64))) (neg.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))))
(+.f64 (.f64 #s(literal -1/37800 binary64) (.f64 x x)) #s(literal 1/2835 binary64))
(+.f64 #s(literal 1/2835 binary64) (.f64 #s(literal -1/37800 binary64) (.f64 x x)))

eval104.0ms (1%)

Memory: 22.6MiB live, 181.3MiB allocated
Compiler: Compiled 19 829 to 2 691 computations (86.4% saved)

prune50.0ms (0.5%)

Memory

1.4MiB live, 122.1MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	789	9	798
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	789	17	806

Accuracy

99.3%

Counts

806 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.7%	(log.f64 (/.f64 (sinh.f64 x) x))
	53.2%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	53.1%	(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))))
✓	52.9%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
▶	2.2%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
▶	98.2%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
	97.9%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
	98.1%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
	97.9%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
	98.0%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
▶	98.1%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
✓	98.1%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	98.2%	#s(approx (log (/ (sinh x) x)) (.f64 (.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))
✓	97.9%	#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))
▶	97.9%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	97.9%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	26.2%	#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 395 to 276 computations (30.1% saved)

simplify237.0ms (2.3%)

Memory

-13.9MiB live, 256.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
cost-diff	0	(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
cost-diff	0	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 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 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
cost-diff	0	(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))
cost-diff	0	(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))

Rules

19 050×	`lower-fma.f32`
19 042×	`lower-fma.f64`
3 942×	`lower-*.f32`
3 928×	`lower-*.f64`
3 880×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	438
0	81	438
1	139	432
2	240	432
3	546	432
4	1422	428
5	4084	428
6	6769	428
7	7336	428
8	7824	428
0	8044	417

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 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (+ (* (* x x) 1/6) 1) (.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)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 1/180 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)

Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) x)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (/.f64 x (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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) x))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) x) x)
(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64))
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 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))
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(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))
#s(literal -1/6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 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))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 1/180 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)

localize374.0ms (3.7%)

Memory

9.7MiB live, 545.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
accuracy	0.1953125	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	1.1057512572053507	#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
accuracy	45.610356480859274	(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.22265625	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	1.0759141905930951	#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
accuracy	29.619349092560103	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
accuracy	60.92161002657746	#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.015625	(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.09375	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
accuracy	1.1057512572053507	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
accuracy	0.09375	(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy	0.3359375	(.f64 #s(approx (+ ( (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy	0.9853914878110837	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
accuracy	1.2452434698354091	#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy	0.015625	(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))
accuracy	0.19044877930532603	(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
accuracy	0.205410009768442	(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))
accuracy	0.9358280542241282	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))

Samples

246.0ms	178×	2	valid
55.0ms	72×	1	valid
2.0ms	6×	0	valid

Compiler

Compiled 313 to 47 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-mult: 75.0ms (29.5% of total)

adjust: 43.0ms (16.9% of total)

ival-log: 36.0ms (14.2% of total)

const: 33.0ms (13% of total)

ival-sinh: 20.0ms (7.9% of total)

ival-div: 17.0ms (6.7% of total)

ival-add: 17.0ms (6.7% of total)

ival-pow2: 6.0ms (2.4% of total)

ival-pow: 4.0ms (1.6% of total)

ival-sub: 2.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.4%)

Memory

-11.7MiB live, 64.4MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #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 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 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 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))) (patch (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (+ (* (* x x) 1/6) 1) (.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 #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))) (patch #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (patch (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x 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 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) #<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 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) #<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 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) #<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 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #<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 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #<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 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/36 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt -1/36 (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/32400 (pow x 4)) 1/36) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #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 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #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 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #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 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #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 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #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 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #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 (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #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 #s(approx (+ ( (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1/6 (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* -1/180 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/180 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

13.0ms

inf

((log (/ (sinh x) x)) (/ (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* x x)) (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 1/180) (pow x 4)) (- (/ 1/6 (* x x)) 1/180) (pow (+ (* (* x x) 1/2835) -1/180) 2) (+ (* -1/180 (* x x)) 1/6) (/ 1/6 (* x x)))

9.0ms

-inf

((log (/ (sinh x) x)) (/ (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* x x)) (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 1/180) (pow x 4)) (- (/ 1/6 (* x x)) 1/180) (pow (+ (* (* x x) 1/2835) -1/180) 2) (+ (* -1/180 (* x x)) 1/6) (/ 1/6 (* x x)))

3.0ms

((log (/ (sinh x) x)) (/ (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* x x)) (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 1/180) (pow x 4)) (- (/ 1/6 (* x x)) 1/180) (pow (+ (* (* x x) 1/2835) -1/180) 2) (+ (* -1/180 (* x x)) 1/6) (/ 1/6 (* x x)))

simplify187.0ms (1.8%)

Memory

19.6MiB live, 208.5MiB allocated

Algorithm

1×	egg-herbie

Rules

19 280×	`lower-fma.f64`
19 280×	`lower-fma.f32`
4 896×	`lower-+.f64`
4 896×	`lower-+.f32`
4 626×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	2968
1	527	2948
2	1410	2942
3	3759	2942
0	8267	2821

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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))))
(* 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))))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))
-1/36
(- (* 1/32400 (pow x 4)) 1/36)
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)
(* 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))))
(* 1/6 (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))))
(* 1/6 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) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
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)))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* -1/180 (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))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (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
(+ 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
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 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) (+ 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))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
1/32400
(+ 1/32400 (* -1/255150 (pow x 2)))
(+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))
(+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (pow x 2)))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(+ (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)))
(* 1/2835 (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)))))
(* 1/8037225 (pow x 10))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(+ (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)))
(* -1/37800 (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 7))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 7) (- (+ (* 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 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (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)))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(/ -180 (pow x 2))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(+ (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)))
(* 1/2 (/ (- (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 (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))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(+ (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 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
-1/180
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(* 1/8037225 (pow x 4))
(* (pow x 4) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(+ (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)))
(* 1/2835 (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)))))
(* 1/8037225 (pow x 10))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(+ (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)))
(* -1/37800 (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 7))
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(* -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 (pow x 3))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(+ (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 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(/ -180 (pow x 2))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(+ (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)))
(* 1/2 (/ (- (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 (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))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(+ (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 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
-1/180
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(* 1/8037225 (pow x 4))
(* (pow x 4) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))

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 (.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)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #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))
(.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 (.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)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.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)
(* -1/36 (pow x 2))
(.f64 #s(literal -1/36 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x)
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8037225 binary64) (.f64 x x) #s(literal -1/255150 binary64)) (.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x)
-1/36
#s(literal -1/36 binary64)
(- (* 1/32400 (pow x 4)) 1/36)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)
(fma.f64 (fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/8037225 binary64) (.f64 x x) #s(literal -1/255150 binary64)) (.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #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 #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 #s(literal 1/2835 binary64) (.f64 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 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #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))
(.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 (.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)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #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 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))))
(.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) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(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))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(* 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 (* -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 (* -1/180 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) 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 (.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)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #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))
(.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 (* -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 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/150 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4500 binary64) (.f64 x x) #s(literal 1/150 binary64)) (.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 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 #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 #s(literal 1/2835 binary64) (.f64 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 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) 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 #s(literal 1/120 binary64) (.f64 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 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
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 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))
(* 1/6 (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) (+ 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 #s(literal 1/2835 binary64) (.f64 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 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #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))
(.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 (* -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 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) 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 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) 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 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
1/32400
#s(literal 1/32400 binary64)
(+ 1/32400 (* -1/255150 (pow x 2)))
(fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal 1/32400 binary64))
(+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))
(fma.f64 (fma.f64 #s(literal 1/8037225 binary64) (.f64 x x) #s(literal -1/255150 binary64)) (.f64 x x) #s(literal 1/32400 binary64))
(+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))
(fma.f64 (fma.f64 #s(literal 1/8037225 binary64) (.f64 x x) #s(literal -1/255150 binary64)) (.f64 x x) #s(literal 1/32400 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #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))
(* 1/2835 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
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(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (.f64 x x))) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1/37800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/37800 binary64))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) #s(literal 1/37800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/37800 binary64))) (pow.f64 x #s(literal 8 binary64)))
(* -1/37800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/37800 binary64))
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) #s(literal 1/37800 binary64)))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x)))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/37800 binary64))))
(* -1/37800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/37800 binary64))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) #s(literal 1/37800 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/37800 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* -1/180 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ -180 (pow x 2))
(/.f64 #s(literal -180 binary64) (*.f64 x x))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -180 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 162000 binary64) (*.f64 x x)) #s(literal 5400 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 4860000 binary64) (.f64 x x)) #s(literal 162000 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.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 (pow x 2))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 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))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
-1/180
#s(literal -1/180 binary64)
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(- (* 1/6 (/ 1 (pow x 2))) 1/180)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(* 1/8037225 (pow x 4))
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* -1/180 (pow x 2))
(.f64 #s(literal -1/180 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))

rewrite226.0ms (2.2%)

Memory

-15.2MiB live, 260.8MiB allocated

Rules

4 948×	`lower-fma.f32`
4 940×	`lower-fma.f64`
4 738×	`lower-/.f32`
4 730×	`lower-/.f64`
4 066×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	384
0	81	384
1	302	352
2	1978	352
0	8675	331

Stop Event

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

Counts

23 → 447

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) (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))))
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(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/1080 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/180 binary64) (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal -1/6 binary64))) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/1080 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 #s(literal -1/180 binary64) x) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/180 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/180 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) x))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 #s(literal -1/6 binary64) (pow.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(pow.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))
(/.f64 #s(literal 1/6 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 #s(literal -1/6 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) x))
(neg.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)))

eval82.0ms (0.8%)

Memory: 17.2MiB live, 182.2MiB allocated
Compiler: Compiled 17 942 to 2 558 computations (85.7% saved)

prune35.0ms (0.3%)

Memory

-5.0MiB live, 79.3MiB allocated

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	715	8	723
Fresh	2	4	6
Picked	3	2	5
Done	0	6	6
Total	720	20	740

Accuracy

99.3%

Counts

740 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.7%	(log.f64 (/.f64 (sinh.f64 x) x))
	53.2%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	53.1%	(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))))
✓	52.9%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
✓	2.2%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
▶	98.2%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
	97.9%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 #s(approx (+ ( (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
▶	98.1%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
	96.8%	#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)) x)))
	97.1%	#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.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)) #s(literal -1 binary64)))))
	97.9%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
	97.9%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64)))))
▶	98.3%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
▶	98.1%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
▶	96.8%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))
✓	98.1%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	98.2%	#s(approx (log (/ (sinh x) x)) (.f64 (.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))
✓	97.9%	#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))
✓	97.9%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	97.9%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 472 to 317 computations (32.8% saved)

simplify108.0ms (1.1%)

Memory

-14.4MiB live, 62.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x))
cost-diff	0	(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 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 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
cost-diff	1088	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))
cost-diff	0	#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
cost-diff	0	(.f64 (/.f64 x #s(approx (/ 1 (+ ( -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 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
cost-diff	0	#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
cost-diff	0	(.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))

Rules

8 764×	`lower-fma.f32`
8 752×	`lower-fma.f64`
3 842×	`lower-*.f32`
3 826×	`lower-*.f64`
2 534×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	442
0	73	442
1	137	434
2	278	424
3	846	414
4	3015	414
5	7227	414
0	8012	414

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 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
x
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
#s(literal 1/5 binary64)
(*.f64 x x)
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
x
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
#s(literal -1/180 binary64)
(.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #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)
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
#s(literal -1/36 binary64)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
#s(literal -1/6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -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 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -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 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))
x
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))
#s(literal 1/5 binary64)
(*.f64 x x)
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
x
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 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 -1/36 binary64)) (.f64 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))))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 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 -1/36 binary64)) (.f64 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)))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x))
(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 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 -1/36 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 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 -1/36 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
#s(literal -1/180 binary64)
(.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
#s(literal -1/36 binary64)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 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))
(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 -1/6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)

localize505.0ms (4.9%)

Memory

11.7MiB live, 208.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.21875	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.877678505443766	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
accuracy	1.1057512572053507	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))
accuracy	0.19044877930532603	(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
accuracy	0.205410009768442	(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x))
accuracy	0.2734375	(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)
accuracy	0.9358280542241282	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.015625	(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.13671875	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))
accuracy	1.1057512572053507	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
accuracy	0.00390625	(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
accuracy	0.09375	(.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)
accuracy	1.1057512572053507	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
accuracy	1.2496924758684056	#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
accuracy	0.00390625	(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
accuracy	0.09375	(.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)
accuracy	1.0968974032844865	#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
accuracy	1.1057512572053507	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))

Samples

262.0ms	178×	2	valid
136.0ms	72×	1	valid
2.0ms	6×	0	valid

Compiler

Compiled 347 to 40 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 310.0ms

ival-mult: 78.0ms (25.1% of total)

ival-log: 74.0ms (23.9% of total)

const: 71.0ms (22.9% of total)

adjust: 33.0ms (10.6% of total)

ival-sinh: 20.0ms (6.4% of total)

ival-div: 18.0ms (5.8% of total)

ival-add: 11.0ms (3.5% of total)

ival-pow: 4.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series108.0ms (1.1%)

Memory

-3.1MiB live, 44.1MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64)))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64)))) (patch (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64))) (patch #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #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 x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 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 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #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 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #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 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal -2 binary64)) (patch (pow.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #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 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 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 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 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 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 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 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 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 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64)))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 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 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64)))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 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 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64)))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 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 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64)))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64)))) (patch (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64)))) (patch (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64)))) (patch (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64)))) (patch (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64))) (patch #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64))) (patch #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64))) (patch #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 6 binary64))) (patch #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 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 #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #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 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #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 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #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 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #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 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #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 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #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 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #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 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 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 x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 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 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))) #<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 x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 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 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))) #<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 x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 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 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))) #<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 x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 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 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #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 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #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 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #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 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

86.0ms

-inf

((log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (/ (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (* x x)) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (* (/ 1 (pow x -2)) (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (/ 1 (pow x -2)) (pow x -2) (+ (* -1/180 (* x x)) 1/6) (* (+ (* 1/2835 (* x x)) -1/180) x))

9.0ms

inf

((log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (/ (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (* x x)) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (* (/ 1 (pow x -2)) (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (/ 1 (pow x -2)) (pow x -2) (+ (* -1/180 (* x x)) 1/6) (* (+ (* 1/2835 (* x x)) -1/180) x))

2.0ms

((log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (/ (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* x x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (* x x)) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (* (/ 1 (pow x -2)) (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (/ 1 (pow x -2)) (pow x -2) (+ (* -1/180 (* x x)) 1/6) (* (+ (* 1/2835 (* x x)) -1/180) x))

simplify212.0ms (2.1%)

Memory

8.5MiB live, 83.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 892×	`lower-fma.f64`
11 892×	`lower-fma.f32`
4 122×	`lower-*.f64`
4 122×	`lower-*.f32`
3 038×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	2720
1	379	2700
2	1003	2682
3	2635	2682
4	6059	2682
0	8160	2569

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* -1/180 (pow x 2))))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (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))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* -1/180 (pow x 2))))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (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))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (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))))
(* 1/6 (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))))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))
-1/36
(- (* 1/32400 (pow x 4)) 1/36)
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (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))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (pow x 2)))
(* -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))
(+ (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 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(/ -180 (pow x 2))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(+ (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 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(/ -180 (pow x 2))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (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)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -180 (pow x 2))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(+ (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)))
(* 1/2835 (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)))))
(* 1/8037225 (pow x 10))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (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)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (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)))))
(+ (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 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(/ -180 (pow x 2))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(+ (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 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(/ -180 (pow x 2))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (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)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -180 (pow x 2))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(+ (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)))
(* 1/2835 (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)))))
(* 1/8037225 (pow x 10))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (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)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 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 #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 #s(literal 1/2835 binary64) (.f64 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 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #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))
(.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 (* -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 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) 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 (* -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 (* -1/180 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/150 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4500 binary64) (.f64 x x) #s(literal 1/150 binary64)) (.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 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 #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 #s(literal 1/2835 binary64) (.f64 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 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #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))
(.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 (* -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 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) 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 (* -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 (* -1/180 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/150 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4500 binary64) (.f64 x x) #s(literal 1/150 binary64)) (.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 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 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) 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 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) 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 #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 #s(literal 1/2835 binary64) (.f64 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 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) 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)
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/150 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4500 binary64) (.f64 x x) #s(literal 1/150 binary64)) (.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 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 #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 #s(literal 1/2835 binary64) (.f64 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 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #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))
(.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 (.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)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.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)
(* -1/36 (pow x 2))
(.f64 #s(literal -1/36 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x)
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8037225 binary64) (.f64 x x) #s(literal -1/255150 binary64)) (.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x)
-1/36
#s(literal -1/36 binary64)
(- (* 1/32400 (pow x 4)) 1/36)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)
(fma.f64 (fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/8037225 binary64) (.f64 x x) #s(literal -1/255150 binary64)) (.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #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 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) 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 (* -1/180 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) 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 #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 #s(literal 1/2835 binary64) (.f64 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 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) 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)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* -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)
(+ (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))
(* -1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/180 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(/ -180 (pow x 2))
(/.f64 #s(literal -180 binary64) (*.f64 x x))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -180 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 162000 binary64) (*.f64 x x)) #s(literal 5400 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 4860000 binary64) (.f64 x x)) #s(literal 162000 binary64)) (pow.f64 x #s(literal 4 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))
(* -1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/180 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(/ -180 (pow x 2))
(/.f64 #s(literal -180 binary64) (*.f64 x x))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -180 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 162000 binary64) (*.f64 x x)) #s(literal 5400 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
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(.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (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) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (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) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 1/8037225 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/8037225 binary64))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (.f64 x x))) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 10 binary64)))
(* 1/8037225 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/8037225 binary64))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (.f64 x x))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (.f64 x x))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (.f64 x x))) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(* -1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1/180 (pow x 2))
(.f64 #s(literal -1/180 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* 1/2835 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2835 binary64))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(fma.f64 (.f64 #s(literal -1/180 binary64) x) #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2835 binary64)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(fma.f64 (.f64 #s(literal -1/180 binary64) x) #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2835 binary64)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(fma.f64 (.f64 #s(literal -1/180 binary64) x) #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2835 binary64)))

rewrite343.0ms (3.4%)

Memory

20.8MiB live, 208.9MiB allocated

Rules

4 344×	`lower-/.f32`
4 332×	`lower-/.f64`
4 282×	`lower-fma.f32`
4 270×	`lower-fma.f64`
3 794×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	355
0	73	353
1	281	285
2	1706	285
0	8303	281

Stop Event

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

Counts

22 → 864

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x)

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

eval394.0ms (3.9%)

Memory: 13.9MiB live, 328.3MiB allocated
Compiler: Compiled 39 105 to 3 952 computations (89.9% saved)

prune105.0ms (1%)

Memory

-36.2MiB live, 126.2MiB allocated

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	1 493	4	1 497
Fresh	3	4	7
Picked	3	2	5
Done	0	8	8
Total	1 499	18	1 517

Accuracy

99.3%

Counts

1 517 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.7%	(log.f64 (/.f64 (sinh.f64 x) x))
	53.2%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	53.1%	(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))))
✓	52.9%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
✓	2.2%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
	98.1%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 #s(approx ( (+ (* 1/2835 (* x x)) -1/180) x) (.f64 #s(literal -1/180 binary64) x)) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
	97.9%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 #s(approx (+ ( (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
	98.0%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
	98.1%	#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
	96.9%	#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x) x)))
	97.9%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
✓	98.3%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
✓	98.1%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
✓	98.1%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	98.2%	#s(approx (log (/ (sinh x) x)) (.f64 (.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))
✓	97.9%	#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))
✓	97.9%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	97.9%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 649 to 295 computations (54.5% saved)

regimes27.0ms (0.3%)

Memory

11.4MiB live, 50.6MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -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 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 x x)) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (.f64 (.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))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x) x)))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (.f64 x x) #s(literal 1/2835 binary64)) (.f64 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 #s(approx (+ ( (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 #s(approx ( (+ (* 1/2835 (* x x)) -1/180) x) (.f64 #s(literal -1/180 binary64) x)) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 #s(literal 1/2835 binary64) (.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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 (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64)))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(log.f64 (/.f64 (sinh.f64 x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.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)) #s(literal -1 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))

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

Calls

3 calls:

13.0ms	x
6.0ms	(/.f64 (sinh.f64 x) x)
6.0ms	(log.f64 (/.f64 (sinh.f64 x) x))

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
98.3%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) 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
98.1%	1	`x`
98.1%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
98.1%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

-25.6MiB live, 11.4MiB allocated

Accuracy

Total -0.1b remaining (-5.5%)

Threshold costs -0.1b (-5.5%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

4.0ms	x
1.0ms	(/.f64 (sinh.f64 x) x)
1.0ms	(log.f64 (/.f64 (sinh.f64 x) x))

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
97.9%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify21.0ms (0.2%)

Memory

22.5MiB live, 61.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	58
1	31	58

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

soundness692.0ms (6.8%)

Memory

-29.8MiB live, 344.0MiB allocated

Rules

19 280×	`lower-fma.f64`
19 280×	`lower-fma.f32`
16 092×	`lower-fma.f64`
16 092×	`lower-fma.f32`
7 082×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	2968
1	527	2948
2	1410	2942
3	3759	2942
0	8267	2821
0	30	240
0	52	240
1	192	240
2	1262	240
0	8434	240
0	59	394
1	157	390
2	395	384
3	1185	384
4	2108	384
5	3947	384
6	4556	380
7	4957	380
8	6431	380
0	8051	362

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 78 to 56 computations (28.2% saved)

preprocess57.0ms (0.6%)

Memory: 5.5MiB live, 89.7MiB allocated
Compiler: Compiled 120 to 74 computations (38.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze102.0ms (1%)

sample4.0s (38.9%)

explain206.0ms (2%)

preprocess192.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify101.0ms (1%)

localize104.0ms (1%)

series61.0ms (0.6%)

simplify163.0ms (1.6%)

rewrite163.0ms (1.6%)

eval84.0ms (0.8%)

prune32.0ms (0.3%)

simplify163.0ms (1.6%)

localize448.0ms (4.4%)

series72.0ms (0.7%)

simplify177.0ms (1.7%)

rewrite254.0ms (2.5%)

eval104.0ms (1%)

prune50.0ms (0.5%)

simplify237.0ms (2.3%)

localize374.0ms (3.7%)

series39.0ms (0.4%)

simplify187.0ms (1.8%)

rewrite226.0ms (2.2%)

eval82.0ms (0.8%)

prune35.0ms (0.3%)

simplify108.0ms (1.1%)

localize505.0ms (4.9%)

series108.0ms (1.1%)

simplify212.0ms (2.1%)

rewrite343.0ms (3.4%)

eval394.0ms (3.9%)

prune105.0ms (1%)

regimes27.0ms (0.3%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

simplify21.0ms (0.2%)

soundness692.0ms (6.8%)

preprocess57.0ms (0.6%)

end0.0ms (0%)

Profiling