Metrics for bug500, discussion (missed optimization)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze98.0ms (0.8%)

Memory

15.0MiB live, 133.7MiB 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)

sample3.8s (30.9%)

Memory

78.8MiB live, 3 217.2MiB allocated

Samples

2.0s	5 526×	2	valid
807.0ms	7 897×	1	exit
336.0ms	2 360×	1	valid
20.0ms	370×	0	valid
1.0ms	1×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-log: 1.2s (50.3% of total)

ival-sinh: 703.0ms (29.2% of total)

ival-div: 257.0ms (10.7% of total)

adjust: 215.0ms (8.9% of total)

ival-true: 15.0ms (0.6% of total)

ival-assert: 7.0ms (0.3% of total)

Bogosity

explain212.0ms (1.7%)

Memory

-20.8MiB live, 295.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
130	126	(8.978386274681714e-256)	-	`(log.f64 (/.f64 (sinh.f64 x) x))`
0	0	-	-	`(sinh.f64 x)`
0	0	-	-	`(/.f64 (sinh.f64 x) x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 (sinh.f64 x) x))`	sensitivity	253	0
`log.f64`	`(log.f64 (/.f64 (sinh.f64 x) x))`	oflow-rescue	3	0
↳	`(sinh.f64 x)`	overflow	3
↳	`(/.f64 (sinh.f64 x) x)`	overflow	3

Confusion

	Predicted +	Predicted -
+	130	0
-	126	0

Precision

0.5078125

Recall

1.0

Confusion?

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

Precision?

0.5078125

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

136.0ms	354×	2	valid
29.0ms	148×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 34 to 16 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-log: 75.0ms (52.7% of total)

ival-sinh: 41.0ms (28.8% of total)

adjust: 13.0ms (9.1% of total)

ival-div: 13.0ms (9.1% of total)

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

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

preprocess185.0ms (1.5%)

Memory

2.3MiB live, 133.0MiB 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 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	(log.f64 (/.f64 (sinh.f64 x) x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify102.0ms (0.8%)

Memory

-1.6MiB live, 36.8MiB 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

localize119.0ms (1%)

Memory

-18.6MiB live, 100.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (sinh.f64 x) x)
accuracy	0.00390625	(sinh.f64 x)
accuracy	29.57968202053482	(log.f64 (/.f64 (sinh.f64 x) x))

Samples

94.0ms	177×	2	valid
10.0ms	74×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-log: 63.0ms (69.1% of total)

ival-sinh: 19.0ms (20.9% of total)

ival-div: 5.0ms (5.5% of total)

adjust: 4.0ms (4.4% of total)

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

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

series65.0ms (0.5%)

Memory

4.8MiB live, 78.5MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (log.f64 (/.f64 (sinh.f64 x) x))>
#<alt (/.f64 (sinh.f64 x) x)>
#<alt (sinh.f64 x)>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	x	@	inf	(log (/ (sinh x) x))
28.0ms	x	@	-inf	(log (/ (sinh x) x))
2.0ms	x	@	0	(log (/ (sinh x) x))
0.0ms	x	@	0	(/ (sinh x) x)
0.0ms	x	@	0	(sinh x)

simplify280.0ms (2.3%)

Memory

33.7MiB live, 228.9MiB 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	1186	384
4	2106	384
5	3935	384
6	4551	380
7	4952	380
8	6424	380
0	8057	362

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

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

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

rewrite261.0ms (2.1%)

Memory

2.5MiB live, 278.4MiB 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
(log.f64 (/.f64 (sinh.f64 x) x))
(+.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 0 binary64))
(+.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (log.f64 (neg.f64 x))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x))))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 (+.f64 x x))))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x))))
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(/.f64 (neg.f64 (sinh.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal -2 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (neg.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (fma.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal -2 binary64)))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) (exp.f64 (-.f64 (neg.f64 x) x))) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) (exp.f64 (-.f64 (neg.f64 x) x))) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (sinh.f64 x)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x))) (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))) (.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))) (neg.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (sinh.f64 x))
(/.f64 (fma.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sinh.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x))))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64)) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) (-.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(pow.f64 (sinh.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(*.f64 (sinh.f64 x) #s(literal 1 binary64))
(.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sinh.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 x)))
(.f64 (.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sinh.f64 x) #s(literal -1/2 binary64)))
(.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(.f64 (cosh.f64 x) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 1/4 binary64))
(.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))

eval83.0ms (0.7%)

Memory: -21.5MiB live, 103.5MiB allocated
Compiler: Compiled 9 242 to 1 607 computations (82.6% saved)

prune82.0ms (0.7%)

Memory

26.6MiB live, 103.6MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	472	7	479
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	473	7	480

Accuracy

98.8%

Counts

480 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	53.9%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
▶	53.8%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
▶	98.5%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
▶	98.6%	#s(approx (log (/ (sinh x) x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
▶	98.4%	#s(approx (log (/ (sinh x) x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
▶	98.2%	#s(approx (log (/ (sinh x) x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))

Compiler

Compiled 200 to 116 computations (42% saved)

simplify276.0ms (2.2%)

Memory

-23.7MiB live, 287.7MiB 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 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
cost-diff	0	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x x))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))

Rules

10 704×	`lower-fma.f32`
10 690×	`lower-fma.f64`
4 074×	`lower-*.f32`
4 056×	`lower-*.f64`
2 186×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	273
0	54	273
1	128	273
2	324	273
3	668	273
4	1219	273
5	1846	273
6	2135	273
7	2633	273
8	3117	273
9	3723	273
10	3919	273
11	4237	273
12	6926	273
0	8393	273

Stop Event

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

Calls

Call 1

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

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

localize540.0ms (4.4%)

Memory

-117.9MiB live, 385.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.8116976363898584	#s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	29.57968202053482	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.015625	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))
accuracy	0.1953125	(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
accuracy	0.46875	(.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
accuracy	0.739254273698305	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
accuracy	0.12890625	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
accuracy	0.359375	(.f64 x (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
accuracy	0.8199409186904315	#s(approx (log (/ (sinh x) x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
accuracy	0	(*.f64 x x)
accuracy	0.19921875	(.f64 #s(literal 1/6 binary64) (.f64 x x))
accuracy	0.9336609863256154	#s(approx (log (/ (sinh x) x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
accuracy	0.12109375	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
accuracy	0.3515625	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
accuracy	0.484375	(*.f64 x #s(literal 1/2835 binary64))
accuracy	0.7010391643939464	#s(approx (log (/ (sinh x) x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))

Samples

436.0ms	177×	2	valid
55.0ms	74×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 228 to 33 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 434.0ms

const: 276.0ms (63.6% of total)

ival-mult: 40.0ms (9.2% of total)

ival-log: 35.0ms (8.1% of total)

ival-add: 30.0ms (6.9% of total)

adjust: 21.0ms (4.8% of total)

ival-sinh: 21.0ms (4.8% of total)

ival-div: 9.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory

-18.1MiB live, 19.1MiB allocated

Counts

20 → 240

Calls

Call 1

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

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (* 1/2835 (pow x 4))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 4))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))>
#<alt (* -1/37800 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* -1/37800 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt -1/180>
#<alt (- (* 1/2835 (pow x 2)) 1/180)>
#<alt (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)>
#<alt (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)>
#<alt (* -1/37800 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>

Calls

60 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(* x (+ (* (* x x) -1/37800) 1/2835))
1.0ms	x	@	inf	(* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)))
0.0ms	x	@	inf	(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6))
0.0ms	x	@	inf	(* x (* x (+ (* (* x x) -1/180) 1/6)))
0.0ms	x	@	0	(* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)))

simplify255.0ms (2.1%)

Memory

-13.9MiB live, 276.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 884×	`lower-fma.f64`
8 884×	`lower-fma.f32`
3 676×	`lower-*.f64`
3 676×	`lower-*.f32`
1 904×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	2414
1	334	2394
2	850	2394
3	2348	2394
4	6197	2394
0	8086	2281

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

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.f64 x))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* 1/2835 (pow x 6))
(.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))))
(* 1/2835 (pow x 6))
(.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* 1/2835 (pow x 5))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* 1/2835 (pow x 5))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* 1/2835 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2835 binary64)))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal -1/180 binary64)))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal -1/180 binary64)))
(* 1/2835 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2835 binary64)))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal -1/180 binary64)))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal -1/180 binary64)))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.f64 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))
(* 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))
(* 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))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (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))) (neg.f64 (log.f64 (neg.f64 x))))
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(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(* -1/37800 (pow x 3))
(.f64 #s(literal -1/37800 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))))
(* -1/37800 (pow x 3))
(.f64 #s(literal -1/37800 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))))
-1/180
#s(literal -1/180 binary64)
(- (* 1/2835 (pow x 2)) 1/180)
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(* -1/37800 (pow x 4))
(.f64 x (.f64 #s(literal -1/37800 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x #s(literal 1/2835 binary64))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x #s(literal 1/2835 binary64))))
(* -1/37800 (pow x 4))
(.f64 x (.f64 #s(literal -1/37800 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x #s(literal 1/2835 binary64))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x #s(literal 1/2835 binary64))))

rewrite484.0ms (3.9%)

Memory

8.0MiB live, 236.8MiB allocated

Rules

4 974×	`lower-fma.f32`
4 960×	`lower-fma.f64`
4 892×	`lower-*.f32`
4 874×	`lower-*.f64`
4 316×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	232
0	54	232
1	223	232
2	1572	232
0	8171	232

Stop Event

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

Counts

20 → 517

Calls

Call 1

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

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 x x)))
(fma.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 x x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 x x)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) x (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))))))
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eval139.0ms (1.1%)

Memory: 9.1MiB live, 125.8MiB allocated
Compiler: Compiled 27 805 to 1 993 computations (92.8% saved)

prune132.0ms (1.1%)

Memory

30.4MiB live, 108.9MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	851	14	865
Fresh	0	2	2
Picked	2	3	5
Done	0	0	0
Total	853	19	872

Accuracy

99.0%

Counts

872 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
▶	53.9%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓	53.8%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
	2.1%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* 1/6 (* x x)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
	98.4%	#s(approx (log (/ (sinh x) x)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x))))
▶	98.4%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
▶	98.5%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
	97.7%	#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/1080 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/5832000 binary64) (.f64 x (.f64 x x))) #s(literal 1/216 binary64))))))
▶	98.6%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))
	98.5%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) x))
▶	98.2%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
	98.4%	#s(approx (log (/ (sinh x) x)) (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) x (.f64 x #s(literal 1/6 binary64)))))
	98.5%	#s(approx (log (/ (sinh x) x)) (.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/5832000 binary64) (.f64 x (.f64 x x))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/1080 binary64))))))
	98.4%	#s(approx (log (/ (sinh x) x)) (.f64 x (/.f64 (.f64 (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))))
	98.5%	#s(approx (log (/ (sinh x) x)) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))))
✓	98.4%	#s(approx (log (/ (sinh x) x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
✓	98.2%	#s(approx (log (/ (sinh x) x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
	10.6%	#s(approx (log (/ (sinh x) x)) #s(approx (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (.f64 x x))))))))))
	25.5%	#s(approx (log (/ (sinh x) x)) #s(approx (* x (* x (+ (* (* x x) -1/180) 1/6))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))

Compiler

Compiled 676 to 357 computations (47.2% saved)

simplify315.0ms (2.6%)

Memory

7.1MiB live, 125.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
cost-diff	0	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)))
cost-diff	0	(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
cost-diff	1088	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
cost-diff	0	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (.f64 x x))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))

Rules

5 158×	`lower-fma.f32`
5 144×	`lower-fma.f64`
3 234×	`lower-*.f32`
3 216×	`lower-*.f64`
1 190×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	296
0	64	296
1	134	282
2	284	272
3	525	272
4	751	272
5	1010	272
6	1449	272
7	2091	272
8	2868	272
9	3434	272
10	3706	272
11	4273	272
12	5652	272
13	6819	272
14	7382	272
15	7622	272
16	7678	272
0	8213	272

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (.f64 x x))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
x
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 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 x #s(literal 1/6 binary64)) x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.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 (*.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 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)))
(*.f64 x x)
x
(fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))
#s(literal 1/32400 binary64)
(.f64 (.f64 x x) (*.f64 x x))
#s(literal -1/36 binary64)
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal -1/180 binary64))
#s(literal -1/180 binary64)
#s(literal -1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
x
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 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 x #s(literal 1/6 binary64)) x))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 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 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x x))) #s(literal -1/36 binary64)))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
(/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x x))) #s(literal -1/36 binary64)))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)))
(.f64 x (.f64 x (fma.f64 x (.f64 #s(literal 1/32400 binary64) (.f64 x (*.f64 x x))) #s(literal -1/36 binary64))))
(*.f64 x x)
x
(fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))
(fma.f64 x (.f64 #s(literal 1/32400 binary64) (.f64 x (*.f64 x x))) #s(literal -1/36 binary64))
#s(literal 1/32400 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
#s(literal -1/36 binary64)
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal -1/180 binary64))
#s(literal -1/180 binary64)
#s(literal -1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
#s(approx (/ (sinh x) x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize499.0ms (4%)

Memory

-31.7MiB live, 249.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
accuracy	0.0859375	(*.f64 x #s(literal 1/120 binary64))
accuracy	0.7449854404217708	#s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
accuracy	29.57968202053482	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
accuracy	0.18359375	(.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)))
accuracy	0.20931625976844204	(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
accuracy	0.22265625	(*.f64 x #s(literal -1/180 binary64))
accuracy	0.8199409186904315	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
accuracy	0.15234375	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
accuracy	0.8199409186904315	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
accuracy	0.12109375	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
accuracy	0.3515625	(*.f64 x #s(literal 1/6 binary64))
accuracy	0.9336609863256154	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
accuracy	0.015625	(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
accuracy	0.203125	(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (.f64 x x))
accuracy	0.2265625	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
accuracy	0.7010391643939464	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))

Samples

326.0ms	177×	2	valid
48.0ms	74×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 234 to 40 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 256.0ms

ival-sinh: 73.0ms (28.5% of total)

ival-mult: 44.0ms (17.2% of total)

adjust: 42.0ms (16.4% of total)

ival-log: 35.0ms (13.7% of total)

const: 31.0ms (12.1% of total)

ival-div: 15.0ms (5.9% of total)

ival-add: 15.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#<alt #s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))>
#<alt (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (.f64 x x))>
#<alt (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))>
#<alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))>
#<alt #s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))>
#<alt (.f64 (.f64 x #s(literal 1/6 binary64)) x)>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))>
#<alt #s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))>
#<alt #s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))>
#<alt (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))>
#<alt (.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)))>
#<alt (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))>
#<alt (*.f64 x #s(literal -1/180 binary64))>
#<alt (*.f64 x #s(literal 1/120 binary64))>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (* 1/2835 (pow x 4))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 4))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* -1/180 x)>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 6>
#<alt (+ 6 (* 1/5 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))>
#<alt (/ -180 (pow x 2))>
#<alt (* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -180 (pow x 2))>
#<alt (* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/36 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))>
#<alt (* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))>
#<alt (* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))>
#<alt (* 1/32400 (pow x 6))>
#<alt (* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* 1/32400 (pow x 6))>
#<alt (* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt -1/180>
#<alt (- (* 1/2835 (pow x 2)) 1/180)>
#<alt (- (* 1/2835 (pow x 2)) 1/180)>
#<alt (- (* 1/2835 (pow x 2)) 1/180)>
#<alt (* 1/2835 (pow x 2))>
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>

Calls

63 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (* (* x x) (+ (* 1/32400 (* (* x x) (* x x))) -1/36)) (+ (* x (* x -1/180)) -1/6))
1.0ms	x	@	0	(/ (* (* x x) (+ (* 1/32400 (* (* x x) (* x x))) -1/36)) (+ (* x (* x -1/180)) -1/6))
0.0ms	x	@	inf	(* (* x x) (+ (* 1/32400 (* (* x x) (* x x))) -1/36))
0.0ms	x	@	-inf	(* x 1/120)
0.0ms	x	@	-inf	(* x -1/180)

simplify369.0ms (3%)

Memory

22.0MiB live, 374.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 802×	`lower-fma.f64`
15 802×	`lower-fma.f32`
4 108×	`lower-*.f64`
4 108×	`lower-*.f32`
3 482×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	2288
1	360	2268
2	914	2262
3	2222	2262
4	4841	2262
0	8096	2141

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* -1/180 x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* 1/2835 (pow x 3))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (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))
(* -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))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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)))))))
(/ -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))
(/ -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))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (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))
(* -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))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))
(* 1/32400 (pow x 6))
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(* 1/32400 (pow x 6))
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(- (* 1/2835 (pow x 2)) 1/180)
(- (* 1/2835 (pow x 2)) 1/180)
(* 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)))))
(* 1/2835 (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)))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (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))
(* -1/180 (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))
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.f64 x))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* 1/2835 (pow x 6))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))))
(* 1/2835 (pow x 6))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* 1/2835 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/180 binary64)))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/180 binary64)))
(* 1/2835 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/180 binary64)))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/180 binary64)))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* 1/2835 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
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(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/120 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/120 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
-1/180
#s(literal -1/180 binary64)
(- (* 1/2835 (pow x 2)) 1/180)
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(- (* 1/2835 (pow x 2)) 1/180)
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(- (* 1/2835 (pow x 2)) 1/180)
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* -1/180 (pow x 2))
(.f64 x (.f64 x #s(literal -1/180 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* -1/180 (pow x 2))
(.f64 x (.f64 x #s(literal -1/180 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))

rewrite288.0ms (2.3%)

Memory

2.4MiB live, 406.9MiB allocated

Rules

5 854×	`lower-fma.f32`
5 840×	`lower-fma.f64`
4 322×	`lower-/.f32`
4 316×	`lower-/.f64`
3 916×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	239
0	64	219
1	259	209
2	1700	209
0	8214	209

Stop Event

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

Counts

21 → 620

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (.f64 x x))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
(*.f64 x #s(literal -1/180 binary64))
(*.f64 x #s(literal 1/120 binary64))

Outputs
#s(approx (log (/ (sinh x) x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x x)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x x) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/36 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/36 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/216 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/36 binary64)) (.f64 x x))))
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(*.f64 x #s(literal -1/180 binary64))
(*.f64 #s(literal -1/180 binary64) x)
(*.f64 x #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) x)

eval157.0ms (1.3%)

Memory: -39.3MiB live, 281.2MiB allocated
Compiler: Compiled 30 212 to 2 328 computations (92.3% saved)

prune139.0ms (1.1%)

Memory

19.2MiB live, 255.0MiB allocated

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	1 087	9	1 096
Fresh	4	7	11
Picked	2	3	5
Done	0	3	3
Total	1 093	22	1 115

Accuracy

99.0%

Counts

1 115 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓	53.9%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓	53.8%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
▶	2.1%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
	1.7%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))))))
	2.1%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* 1/6 (* x x)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
	98.4%	#s(approx (log (/ (sinh x) x)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
▶	98.4%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
▶	98.6%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
▶	98.3%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))))
	15.5%	#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (* x x) (+ (* 1/32400 (* (* x x) (* x x))) -1/36)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/32400 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
	98.5%	#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (* x x) (+ (* 1/32400 (* (* x x) (* x x))) -1/36)) (.f64 (.f64 x x) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
	97.6%	#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))))
✓	98.6%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))
	98.5%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) x))
✓	98.2%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
	98.4%	#s(approx (log (/ (sinh x) x)) (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) x (.f64 x #s(literal 1/6 binary64)))))
▶	98.5%	#s(approx (log (/ (sinh x) x)) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))))
✓	98.4%	#s(approx (log (/ (sinh x) x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
✓	98.2%	#s(approx (log (/ (sinh x) x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
	10.6%	#s(approx (log (/ (sinh x) x)) #s(approx (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (.f64 x x))))))))))
	25.5%	#s(approx (log (/ (sinh x) x)) #s(approx (* x (* x (+ (* (* x x) -1/180) 1/6))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))

Compiler

Compiled 636 to 347 computations (45.4% saved)

simplify171.0ms (1.4%)

Memory

21.9MiB live, 213.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
cost-diff	0	#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
cost-diff	0	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
cost-diff	0	(.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64)))
cost-diff	0	(.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) x)
cost-diff	0	(/.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
cost-diff	0	(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
cost-diff	0	#s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64)))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))))
cost-diff	0	#s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))
cost-diff	0	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))

Rules

4 730×	`lower-fma.f32`
4 720×	`lower-fma.f64`
3 066×	`lower-*.f32`
3 046×	`lower-*.f64`
1 794×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	402
0	78	388
1	139	382
2	253	377
3	448	377
4	602	377
5	892	377
6	1173	377
7	1780	377
8	2510	377
9	3108	377
10	3263	377
11	3593	377
12	5828	377
13	7934	377
0	8034	369

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))
(*.f64 x #s(literal 1/5 binary64))
#s(literal 1/5 binary64)
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64)))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
x
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #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)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) x)
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64)))
(.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64)))
(.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64)))
x
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/32400 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/32400 binary64)))
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal 1/32400 binary64)
#s(literal -1/36 binary64)
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal -1/180 binary64))
#s(literal -1/180 binary64)
#s(literal -1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
#s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
#s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)

localize312.0ms (2.5%)

Memory

-15.4MiB live, 518.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.203125	(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
accuracy	0.7449854404217708	#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
accuracy	29.57968202053482	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
accuracy	60.69479432312046	#s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
accuracy	0.20931625976844204	(/.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
accuracy	0.22265625	(*.f64 x #s(literal -1/180 binary64))
accuracy	0.37109375	(.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64)))
accuracy	0.8199409186904315	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
accuracy	0.12890625	(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
accuracy	0.8199409186904315	#s(approx (log (/ (sinh x) x)) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))))
accuracy	0	(*.f64 x x)
accuracy	0.15234375	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64)))
accuracy	0.8199409186904315	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))))
accuracy	1.0185892441229887	#s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64))
accuracy	0.15234375	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))
accuracy	0.328125	(*.f64 x #s(literal 1/5 binary64))
accuracy	0.814844175120979	#s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))
accuracy	0.8199409186904315	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))

Samples

195.0ms	177×	2	valid
47.0ms	74×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 275 to 40 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

const: 49.0ms (25% of total)

ival-log: 36.0ms (18.3% of total)

ival-mult: 29.0ms (14.8% of total)

ival-sinh: 26.0ms (13.2% of total)

adjust: 24.0ms (12.2% of total)

ival-div: 20.0ms (10.2% of total)

ival-add: 13.0ms (6.6% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#<alt #s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))>
#<alt (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))>
#<alt (*.f64 x x)>
#<alt #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))>
#<alt #s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))))>
#<alt (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64)))>
#<alt #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64))>
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))>
#<alt #s(approx (log (/ (sinh x) x)) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))))>
#<alt (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))>
#<alt #s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))>
#<alt (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))>
#<alt (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) x)>
#<alt (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64)))>
#<alt (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))>
#<alt #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))>
#<alt #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))>
#<alt (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))>
#<alt (*.f64 x #s(literal 1/5 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))>
#<alt (*.f64 x #s(literal -1/180 binary64))>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 6>
#<alt (+ 6 (* 1/5 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))>
#<alt (/ -180 (pow x 2))>
#<alt (* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -180 (pow x 2))>
#<alt (* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt 6>
#<alt (+ 6 (* 1/5 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))>
#<alt (/ -180 (pow x 2))>
#<alt (* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -180 (pow x 2))>
#<alt (* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt 6>
#<alt (+ 6 (* 1/5 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))>
#<alt (/ -180 (pow x 2))>
#<alt (* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -180 (pow x 2))>
#<alt (* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/36 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))>
#<alt (* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))>
#<alt (* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))>
#<alt (* 1/32400 (pow x 6))>
#<alt (* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* 1/32400 (pow x 6))>
#<alt (* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* -1/36 x)>
#<alt (* x (- (* 1/32400 (pow x 4)) 1/36))>
#<alt (* x (- (* 1/32400 (pow x 4)) 1/36))>
#<alt (* x (- (* 1/32400 (pow x 4)) 1/36))>
#<alt (* 1/32400 (pow x 5))>
#<alt (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* 1/32400 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)))>
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)))>
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>

Calls

66 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x 1/5)
0.0ms	x	@	inf	(* (* x x) (+ (* x (* x 1/120)) 1/6))
0.0ms	x	@	-inf	(* x 1/5)
0.0ms	x	@	-inf	(* x (+ (* x (* (* x (* x x)) 1/32400)) -1/36))
0.0ms	x	@	0	(* x 1/5)

simplify505.0ms (4.1%)

Memory

-0.8MiB live, 264.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 320×	`lower-fma.f64`
14 320×	`lower-fma.f32`
3 800×	`lower-*.f64`
3 800×	`lower-*.f32`
3 212×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	2598
1	358	2578
2	896	2560
3	2180	2560
4	4810	2560
0	8174	2422

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))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (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))
(* -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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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)))))))
(/ -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))
(/ -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))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (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))
(* -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))
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)))))))
(/ -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))
(/ -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))
(* 1/6 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))))
(* -1/180 (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 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))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (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))
(* -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))
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)))))))
(/ -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))
(/ -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))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (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))
(* -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))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))
(* 1/32400 (pow x 6))
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(* 1/32400 (pow x 6))
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(* -1/36 x)
(* x (- (* 1/32400 (pow x 4)) 1/36))
(* x (- (* 1/32400 (pow x 4)) 1/36))
(* x (- (* 1/32400 (pow x 4)) 1/36))
(* 1/32400 (pow x 5))
(* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(* 1/32400 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (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))
(* -1/180 (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))
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)

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

rewrite549.0ms (4.4%)

Memory

19.6MiB live, 338.7MiB allocated

Rules

5 072×	`lower-/.f32`
5 062×	`lower-/.f64`
4 828×	`lower-*.f32`
4 808×	`lower-*.f64`
3 918×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	330
0	78	308
1	265	298
2	1557	296
0	8101	291

Stop Event

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

Counts

22 → 893

Calls

Call 1

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

Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (.f64 x x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))) (/.f64 (.f64 x x) (neg.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))))
(neg.f64 (/.f64 (.f64 x x) (neg.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))))
(neg.f64 (/.f64 (.f64 x (neg.f64 x)) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(/.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) x)))
(/.f64 x (.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))
(/.f64 (.f64 x x) (.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(/.f64 (.f64 x x) (.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (.f64 x x))))
(/.f64 (.f64 x (neg.f64 x)) (neg.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(/.f64 (.f64 x (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))))
(/.f64 (.f64 x (neg.f64 x)) (.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 x (neg.f64 x))) (neg.f64 (neg.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) x) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) x)))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (/.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) x) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))))
(/.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (neg.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 x (neg.f64 x)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (.f64 x x)) #s(literal -1 binary64))
(.f64 x (/.f64 x #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) (.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) x)
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
#s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64)) (*.f64 x x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64)))) (/.f64 (.f64 x x) (neg.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64)))))
(neg.f64 (/.f64 (.f64 x x) (neg.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64)))))
(neg.f64 (/.f64 (.f64 x (neg.f64 x)) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))))
(/.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64)) x)))
(/.f64 x (.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64)))
(/.f64 (.f64 x x) (.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64))))
(/.f64 (.f64 x x) (.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64)) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64)) (*.f64 x x))))
(/.f64 (.f64 x (neg.f64 x)) (neg.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))))
(/.f64 (.f64 x (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64)))))
(/.f64 (.f64 x (neg.f64 x)) (.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 x (neg.f64 x)) (.f64 (neg.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 x (neg.f64 x))) (neg.f64 (neg.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64)) x) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64)) x)))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (/.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64)) x) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64)))))
(/.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (neg.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 x (neg.f64 x)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))))))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64)) (*.f64 x x)) #s(literal -1 binary64))
(.f64 x (/.f64 x #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))) (*.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))) x)
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))))
#s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64))
(+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -1/180 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/180 binary64)))) (.f64 x #s(literal 1/6 binary64)))
(+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 x (.f64 x #s(literal -1/180 binary64))) x))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal -1/180 binary64))) x) (.f64 #s(literal 1/6 binary64) x))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
(fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -1/180 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/180 binary64))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (.f64 (.f64 x (*.f64 x #s(literal -1/180 binary64))) x))
(fma.f64 (.f64 x (.f64 x #s(literal -1/180 binary64))) x (*.f64 #s(literal 1/6 binary64) x))
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(*.f64 #s(literal -1/180 binary64) x)

eval388.0ms (3.1%)

Memory: 6.7MiB live, 204.4MiB allocated
Compiler: Compiled 37 379 to 2 677 computations (92.8% saved)

prune143.0ms (1.2%)

Memory

-26.1MiB live, 289.9MiB allocated

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	1 259	10	1 269
Fresh	6	5	11
Picked	3	2	5
Done	0	6	6
Total	1 268	23	1 291

Accuracy

99.0%

Counts

1 291 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓	53.9%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓	53.8%	(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
✓	2.1%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
	1.7%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
	2.1%	(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) #s(approx (* (* x x) (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))))
	98.4%	#s(approx (log (/ (sinh x) x)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
	97.3%	#s(approx (log (/ (sinh x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))))
✓	98.3%	#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))))
	98.2%	#s(approx (log (/ (sinh x) x)) (/.f64 x (.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))))
	98.3%	#s(approx (log (/ (sinh x) x)) (/.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64)) x))))
	97.5%	#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64)) (*.f64 x x))))
✓	98.6%	#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))
	98.4%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/32400 binary64))) #s(literal -1/36 binary64)))) (/.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))))
	98.7%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) x))
	98.4%	#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))) x))
	98.5%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) x))
✓	98.2%	#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
	98.4%	#s(approx (log (/ (sinh x) x)) (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) x (.f64 x #s(literal 1/6 binary64)))))
	98.4%	#s(approx (log (/ (sinh x) x)) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/32400 binary64))) #s(literal -1/36 binary64))) (/.f64 (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) x)))))
✓	98.4%	#s(approx (log (/ (sinh x) x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
✓	98.2%	#s(approx (log (/ (sinh x) x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
	10.6%	#s(approx (log (/ (sinh x) x)) #s(approx (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (.f64 x x))))))))))

Compiler

Compiled 985 to 340 computations (65.5% saved)

regimes37.0ms (0.3%)

Memory

9.1MiB live, 80.7MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (log (/ (sinh x) x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) x (.f64 x #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (* x x) -1/180) 1/6)) #s(literal 6 binary64)) (*.f64 x x))))
#s(approx (log (/ (sinh x) x)) (/.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64)) x))))
#s(approx (log (/ (sinh x) x)) (/.f64 x (.f64 #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x))))
#s(approx (log (/ (sinh x) x)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (* x x) (+ (* 1/32400 (* (* x x) (* x x))) -1/36)) (.f64 (.f64 x x) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) #s(approx (* x (* x (+ (* (* x x) -1/180) 1/6))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 (*.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) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) #s(approx (/ 1 (+ ( (* x x) -1/180) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 x (/.f64 (.f64 (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/32400 binary64))) #s(literal -1/36 binary64)))) (/.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/32400 binary64))) #s(literal -1/36 binary64))) (/.f64 (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) x)))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(approx (* (* x x) (+ (* 1/32400 (* (* x x) (* x x))) -1/36)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/32400 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/5832000 binary64) (.f64 x (.f64 x x))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/1080 binary64))))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -1/1080 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/5832000 binary64) (.f64 x (.f64 x x))) #s(literal 1/216 binary64))))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* 1/6 (* x x)) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) #s(approx (* (* x x) (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (.f64 x x))))))))))
(log.f64 (/.f64 (sinh.f64 x) x))

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

Calls

3 calls:

15.0ms	x
11.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
8.0ms	(/.f64 (sinh.f64 x) x)

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
98.7%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes7.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
98.4%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
98.4%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes8.0ms (0.1%)

Memory

-23.9MiB live, 14.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(/.f64 (sinh.f64 x) x)
2.0ms	x
1.0ms	(log.f64 (/.f64 (sinh.f64 x) x))

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
98.4%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
98.2%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes3.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
98.2%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify10.0ms (0.1%)

Memory

-30.5MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	103
1	50	103

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (9.6%)

Memory

-12.3MiB live, 671.2MiB allocated

Rules

16 092×	`lower-fma.f64`
16 092×	`lower-fma.f32`
15 802×	`lower-fma.f64`
15 802×	`lower-fma.f32`
5 072×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	394
1	157	390
2	395	384
3	1186	384
4	2106	384
5	3935	384
6	4551	380
7	4952	380
8	6424	380
0	8057	362
0	51	330
0	78	308
1	265	298
2	1557	296
0	8101	291
0	144	2288
1	360	2268
2	914	2262
3	2222	2262
4	4841	2262
0	8096	2141
0	31	232
0	54	232
1	223	232
2	1572	232
0	8171	232

Stop Event

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

Compiler

Compiled 184 to 98 computations (46.7% saved)

preprocess83.0ms (0.7%)

Memory: 12.2MiB live, 85.9MiB allocated
Compiler: Compiled 186 to 84 computations (54.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze98.0ms (0.8%)

sample3.8s (30.9%)

explain212.0ms (1.7%)

preprocess185.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify102.0ms (0.8%)

localize119.0ms (1%)

series65.0ms (0.5%)

simplify280.0ms (2.3%)

rewrite261.0ms (2.1%)

eval83.0ms (0.7%)

prune82.0ms (0.7%)

simplify276.0ms (2.2%)

localize540.0ms (4.4%)

series14.0ms (0.1%)

simplify255.0ms (2.1%)

rewrite484.0ms (3.9%)

eval139.0ms (1.1%)

prune132.0ms (1.1%)

simplify315.0ms (2.6%)

localize499.0ms (4%)

series10.0ms (0.1%)

simplify369.0ms (3%)

rewrite288.0ms (2.3%)

eval157.0ms (1.3%)

prune139.0ms (1.1%)

simplify171.0ms (1.4%)

localize312.0ms (2.5%)

series7.0ms (0.1%)

simplify505.0ms (4.1%)

rewrite549.0ms (4.4%)

eval388.0ms (3.1%)

prune143.0ms (1.2%)

regimes37.0ms (0.3%)

regimes7.0ms (0.1%)

regimes6.0ms (0%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify10.0ms (0.1%)

soundness1.2s (9.6%)

preprocess83.0ms (0.7%)

end0.0ms (0%)

Profiling