Metrics for Hyperbolic tangent

start0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 15 to 9 computations (40% saved)

sample3.9s (51.3%)

Memory

-104.7MiB live, 2 986.8MiB allocated

Samples

1.2s	2 975×	2	valid
930.0ms	4 743×	1	valid
483.0ms	7 995×	0	exit
31.0ms	538×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-exp: 1.4s (66.9% of total)

adjust: 178.0ms (8.5% of total)

ival-div: 169.0ms (8.1% of total)

ival-sub: 145.0ms (7% of total)

ival-add: 115.0ms (5.5% of total)

ival-neg: 66.0ms (3.2% of total)

ival-true: 11.0ms (0.5% of total)

ival-assert: 6.0ms (0.3% of total)

Bogosity

explain201.0ms (2.6%)

Memory

-7.8MiB live, 121.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
246	0	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
7	0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	0	-	-	`(exp.f64 x)`
0	2	(149.79451021871867)	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	246	0
`/.f64`	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`	o/o	7	0
↳	`(exp.f64 x)`	overflow	5
↳	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	7
↳	`(exp.f64 (neg.f64 x))`	overflow	2
↳	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	7
↳	`(exp.f64 x)`	overflow	5
↳	`(exp.f64 (neg.f64 x))`	overflow	2
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	253	0
-	2	1

Precision

0.9921568627450981

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	253	0	0
-	2	0	1

Precision?

0.9921568627450981

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

77.0ms	202×	2	valid
50.0ms	264×	1	valid
3.0ms	46×	0	valid

Compiler

Compiled 83 to 25 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-exp: 74.0ms (67.5% of total)

adjust: 11.0ms (10% of total)

ival-sub: 11.0ms (10% of total)

ival-div: 7.0ms (6.4% of total)

ival-add: 5.0ms (4.6% of total)

ival-neg: 2.0ms (1.8% of total)

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

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

preprocess115.0ms (1.5%)

Memory

9.8MiB live, 69.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	34	27
2	87	27
3	351	27
4	3679	19
0	7	13
0	13	13
1	26	13
2	66	13
3	258	13
4	1659	9
0	8837	9

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))

Symmetry

(negabs x)

Compiler

Compiled 13 to 7 computations (46.2% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.9%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify105.0ms (1.4%)

Memory

-9.4MiB live, 54.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
cost-diff	2	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
cost-diff	2	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	13	33
1	26	33
2	66	33
3	258	33
4	1659	25
0	8837	25

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))

localize95.0ms (1.2%)

Memory

8.0MiB live, 39.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.0078125	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
accuracy	1.7109567573557762	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
accuracy	55.92028280456172	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

64.0ms	101×	2	valid
21.0ms	132×	1	valid
1.0ms	23×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-exp: 62.0ms (80.8% of total)

adjust: 5.0ms (6.5% of total)

ival-div: 3.0ms (3.9% of total)

ival-sub: 3.0ms (3.9% of total)

ival-add: 2.0ms (2.6% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series3.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

4 → 23

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(exp.f64 x)

Outputs
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(exp x)
(- (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (exp x))
1.0ms	x	@	inf	((- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (exp x))
1.0ms	x	@	-inf	((- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (exp x))

Time

Variable

Point

Expression

1.0ms

((- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (exp x))

1.0ms

inf

((- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (exp x))

1.0ms

-inf

((- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (exp x))

simplify152.0ms (2%)

Memory

-5.9MiB live, 118.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	210
1	292	210
2	958	200
3	3882	200
0	8155	179

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

Inputs
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(exp x)
(- (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))

Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(exp x)
(exp.f64 x)
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))

rewrite267.0ms (3.5%)

Memory

12.4MiB live, 141.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	27
0	13	12
1	50	12
2	395	12
3	6196	12
0	9201	12

Stop Event

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

Counts

4 → 636

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(exp.f64 x)

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

eval84.0ms (1.1%)

Memory: -7.2MiB live, 90.9MiB allocated
Compiler: Compiled 19 340 to 1 974 computations (89.8% saved)

prune13.0ms (0.2%)

Memory

-2.4MiB live, 27.1MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	697	4	701
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	698	4	702

Accuracy

100.0%

Counts

702 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.9%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
▶	100.0%	(tanh.f64 x)
▶	96.5%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))
▶	96.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Compiler

Compiled 59 to 39 computations (33.9% saved)

simplify88.0ms (1.2%)

Memory

-16.3MiB live, 45.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	2	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
cost-diff	7	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
cost-diff	0	(tanh.f64 x)
cost-diff	0	(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	127
0	46	96
1	89	96
2	231	96
3	927	96
4	5139	94
0	9015	94

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
#s(literal 2/15 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
(tanh.f64 x)
x
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
#s(literal 2 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x)
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
(tanh.f64 x)
x
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(tanh.f64 x)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(cosh.f64 x)
#s(literal 2 binary64)

localize148.0ms (1.9%)

Memory

11.8MiB live, 77.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.0	(cosh.f64 x)
accuracy	1.7109567573557762	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
accuracy	55.92028280456172	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
accuracy	0.01953125	(tanh.f64 x)
accuracy	0.01171875	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x)
accuracy	0.04296875	(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
accuracy	0.1640625	(.f64 #s(literal 2/15 binary64) (.f64 x x))
accuracy	2.2389083331109676	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.015625	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
accuracy	2.4695508691856682	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Samples

67.0ms	101×	2	valid
51.0ms	132×	1	valid
5.0ms	23×	0	valid

Compiler

Compiled 111 to 26 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-exp: 37.0ms (36.9% of total)

adjust: 14.0ms (14% of total)

const: 14.0ms (14% of total)

ival-mult: 11.0ms (11% of total)

ival-div: 6.0ms (6% of total)

ival-sub: 5.0ms (5% of total)

ival-add: 5.0ms (5% of total)

ival-pow: 3.0ms (3% of total)

ival-cosh: 2.0ms (2% of total)

ival-tanh: 2.0ms (2% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

13 → 42

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x)
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(cosh.f64 x)

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(pow x 3)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* 2/15 (pow x 2))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (/ 1 (exp x))))
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (/ 1 (exp x))))
(- (exp x) (exp (* -1 x)))
(exp (* -1 x))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (- (* 2/15 (* x x)) 1/3) (tanh x) (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (* 2/15 (* x x)) (cosh x))
4.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (- (* 2/15 (* x x)) 1/3) (tanh x) (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (* 2/15 (* x x)) (cosh x))
2.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (- (* 2/15 (* x x)) 1/3) (tanh x) (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (* 2/15 (* x x)) (cosh x))

Time

Variable

Point

Expression

5.0ms

-inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (- (* 2/15 (* x x)) 1/3) (tanh x) (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (* 2/15 (* x x)) (cosh x))

4.0ms

inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (- (* 2/15 (* x x)) 1/3) (tanh x) (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (* 2/15 (* x x)) (cosh x))

2.0ms

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (- (* 2/15 (* x x)) 1/3)) x) (- (* 2/15 (* x x)) 1/3) (tanh x) (/ (- (exp x) (exp (neg x))) (* (cosh x) 2)) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (* 2/15 (* x x)) (cosh x))

simplify144.0ms (1.9%)

Memory

5.3MiB live, 62.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	392
1	406	385
2	1208	385
3	4561	385
0	8270	357

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 41

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(pow x 3)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* 2/15 (pow x 2))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (/ 1 (exp x))))
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (/ 1 (exp x))))
(- (exp x) (exp (* -1 x)))
(exp (* -1 x))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 2/15 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp x)
(exp.f64 x)
(exp (neg x))
(exp.f64 (neg.f64 x))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp (* -1 x))
(exp.f64 (neg.f64 x))

rewrite85.0ms (1.1%)

Memory

-11.7MiB live, 27.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	105
0	46	72
1	155	72
0	1030	72

Stop Event

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

Counts

13 → 173

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x)
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(cosh.f64 x)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 #s(literal -1/3 binary64) x) (.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/3 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(-.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 x (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 x (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x)) x x)
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
(fma.f64 x (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)))
(-.f64 x (.f64 (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(+.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 x (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 3 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/27 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(tanh.f64 x)
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x))) (.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))) (+.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x))) (neg.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (exp.f64 (neg.f64 x)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) (.f64 (fma.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(tanh.f64 x)
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x))) (.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))) (+.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x))) (neg.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (exp.f64 (neg.f64 x)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) (.f64 (fma.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cosh.f64 x))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (sinh.f64 x) (sinh.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (sinh.f64 x))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (sinh.f64 (neg.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(.f64 (.f64 #s(literal 2/15 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 2/15 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 2/15 binary64) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 2/15 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 2/15 binary64)))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 2/15 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))

eval27.0ms (0.4%)

Memory: 8.0MiB live, 34.8MiB allocated
Compiler: Compiled 5 017 to 732 computations (85.4% saved)

prune6.0ms (0.1%)

Memory

-16.5MiB live, 13.8MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	195	4	199
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	197	6	203

Accuracy

100.0%

Counts

203 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.9%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
✓	100.0%	(tanh.f64 x)
▶	96.5%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x) x))
▶	96.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
▶	96.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
▶	96.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))

Compiler

Compiled 107 to 62 computations (42.1% saved)

simplify118.0ms (1.5%)

Memory

-8.7MiB live, 91.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x) x))
cost-diff	2	(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
cost-diff	2	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x #s(literal -1/3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
cost-diff	2	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -1/3 binary64) (.f64 x x))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
cost-diff	2	(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	187
0	40	187
1	80	171
2	218	171
3	706	171
4	2473	155
0	8852	153

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
(.f64 #s(literal -1/3 binary64) (.f64 x x))
#s(literal -1/3 binary64)
(*.f64 x x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
(*.f64 x x)
x
(*.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x) x))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x) x)
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
(-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 x x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(*.f64 x x)
x
(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x) x)
(fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
(.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 2/15 binary64)
#s(literal 1/3 binary64)

localize164.0ms (2.1%)

Memory

8.5MiB live, 139.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
accuracy	0.1640625	(.f64 (.f64 x x) #s(literal 2/15 binary64))
accuracy	0.3203125	(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
accuracy	2.2389083331109676	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.015625	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
accuracy	0.1015625	(.f64 (.f64 x x) x)
accuracy	2.4695508691856682	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.015625	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
accuracy	0.3203125	(*.f64 x #s(literal -1/3 binary64))
accuracy	2.4695508691856682	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.015625	(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
accuracy	0.20703125	(.f64 #s(literal -1/3 binary64) (.f64 x x))
accuracy	2.4695508691856682	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))

Samples

64.0ms	101×	2	valid
57.0ms	132×	1	valid
4.0ms	23×	0	valid

Compiler

Compiled 151 to 27 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-exp: 36.0ms (35.3% of total)

adjust: 18.0ms (17.7% of total)

ival-mult: 16.0ms (15.7% of total)

ival-add: 11.0ms (10.8% of total)

const: 11.0ms (10.8% of total)

ival-sub: 5.0ms (4.9% of total)

ival-div: 3.0ms (2.9% of total)

ival-neg: 1.0ms (1% of total)

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

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

series7.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

15 → 26

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
(*.f64 x #s(literal -1/3 binary64))
(.f64 (.f64 x x) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x) x))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
(-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 x x) #s(literal 2/15 binary64))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1/3 (pow x 2))
(pow x 2)
(* -1/3 x)
(pow x 3)
(* x (- (* 2/15 (pow x 2)) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((+ (* (* -1/3 (* x x)) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* -1/3 (* x x)) (* x x) (+ (* (* x x) (* x -1/3)) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* x -1/3) (* (* x x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (+ (* (* (- (* (* x x) 2/15) 1/3) x) (* x x)) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (- (* (* x x) 2/15) 1/3) x) (- (* (* x x) 2/15) 1/3) (* (* x x) 2/15))

2.0ms

inf

((+ (* (* -1/3 (* x x)) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* -1/3 (* x x)) (* x x) (+ (* (* x x) (* x -1/3)) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* x -1/3) (* (* x x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (+ (* (* (- (* (* x x) 2/15) 1/3) x) (* x x)) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (- (* (* x x) 2/15) 1/3) x) (- (* (* x x) 2/15) 1/3) (* (* x x) 2/15))

1.0ms

((+ (* (* -1/3 (* x x)) x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* -1/3 (* x x)) (* x x) (+ (* (* x x) (* x -1/3)) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* x -1/3) (* (* x x) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (+ (* (* (- (* (* x x) 2/15) 1/3) x) (* x x)) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (- (* (* x x) 2/15) 1/3) x) (- (* (* x x) 2/15) 1/3) (* (* x x) 2/15))

simplify104.0ms (1.4%)

Memory

11.6MiB live, 69.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	232
1	183	226
2	461	226
3	1619	226
4	5479	226
0	8530	216

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 25

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -1/3 (pow x 2))
(pow x 2)
(* -1/3 x)
(pow x 3)
(* x (- (* 2/15 (pow x 2)) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(pow x 2)
(*.f64 x x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 2/15 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* 2/15 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/15 binary64))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64)))

rewrite161.0ms (2.1%)

Memory

-18.7MiB live, 105.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	169
0	40	109
1	166	109
2	1040	109
0	8280	107

Stop Event

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

Counts

15 → 398

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
(*.f64 x #s(literal -1/3 binary64))
(.f64 (.f64 x x) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x) x))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
(-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 x x) #s(literal 2/15 binary64))

Outputs
(.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64)) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64)))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 (.f64 x #s(literal -1/3 binary64))) (.f64 x x)) (.f64 (neg.f64 (.f64 x #s(literal -1/3 binary64))) (.f64 x x)))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64))) x))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 (.f64 x x)) (.f64 x #s(literal -1/3 binary64))) (.f64 (neg.f64 (.f64 x x)) (.f64 x #s(literal -1/3 binary64))))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)))))
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(/.f64 (-.f64 (.f64 (.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64))) (.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))) (.f64 (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64))) #s(literal 1/27 binary64))) (.f64 (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64))) (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64))) (neg.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/9 binary64)) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64)) (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))))
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 (fabs.f64 (.f64 #s(literal 2/15 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 #s(literal 2/15 binary64) x)) x)
(.f64 (.f64 #s(literal 2/15 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 2/15 binary64) x) x)
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 2/15 binary64)))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 2/15 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 2/15 binary64) x)))
(.f64 x (.f64 #s(literal 2/15 binary64) x))
(sqrt.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x))))
(fabs.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)))

eval84.0ms (1.1%)

Memory: 0.5MiB live, 40.2MiB allocated
Compiler: Compiled 12 942 to 1 259 computations (90.3% saved)

prune22.0ms (0.3%)

Memory

-0.4MiB live, 28.0MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	326	4	330
Fresh	0	0	0
Picked	3	1	4
Done	0	2	2
Total	329	7	336

Accuracy

100.0%

Counts

336 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.9%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
✓	100.0%	(tanh.f64 x)
✓	96.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
▶	96.5%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x) x))
▶	95.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x))))
▶	96.5%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
▶	96.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x))

Compiler

Compiled 154 to 92 computations (40.3% saved)

simplify133.0ms (1.7%)

Memory

8.3MiB live, 65.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
cost-diff	0	(.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x) x))
cost-diff	2	(fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x))))
cost-diff	2	(neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))
cost-diff	2	(.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x))
cost-diff	4	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x)))
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
cost-diff	0	(fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
cost-diff	2	(.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)
cost-diff	0	(*.f64 x #s(literal -1/3 binary64))
cost-diff	0	(fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x))
cost-diff	2	(.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	341
0	57	325
1	116	317
2	412	315
3	1760	315
4	4346	315
0	8062	307

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64))
(*.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64))
(.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
#s(literal 2/15 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x)))
(sqrt.f64 x)
x
(.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x))
(neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))
(neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
#s(literal 2/15 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x) x))
(fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x) x)
(.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
#s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
#s(literal 2/15 binary64)
(*.f64 x x)
x
#s(literal -1/3 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) x)
x
#s(literal -1/3 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64))
(.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
(sqrt.f64 x)
x
(.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
(neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
(neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (neg.f64 x))
(.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
#s(literal 2/15 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x))
(fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
(.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
#s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
#s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
#s(literal 2/15 binary64)
(*.f64 x x)
x
#s(literal -1/3 binary64)

localize224.0ms (2.9%)

Memory

-25.6MiB live, 213.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.015625	(fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x) x)
accuracy	0.01953125	(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
accuracy	0.3203125	(.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
accuracy	2.2389083331109676	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x) x))
accuracy	0.1640625	(.f64 #s(literal 2/15 binary64) (.f64 x x))
accuracy	0.3203125	(.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
accuracy	0.4140625	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x)))
accuracy	2.2389083331109676	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x))))
accuracy	0.04296875	(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
accuracy	0.1640625	(.f64 #s(literal 2/15 binary64) (.f64 x x))
accuracy	0.3203125	(.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
accuracy	2.2389083331109676	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
accuracy	0.0	(fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64))
accuracy	0.01953125	(.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x)
accuracy	0.3203125	(*.f64 x #s(literal -1/3 binary64))
accuracy	2.4695508691856682	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x))

Samples

107.0ms	101×	2	valid
83.0ms	132×	1	valid
6.0ms	23×	0	valid

Compiler

Compiled 262 to 36 computations (86.3% saved)

Precisions

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

ival-exp: 58.0ms (35.1% of total)

ival-mult: 32.0ms (19.3% of total)

adjust: 19.0ms (11.5% of total)

ival-sub: 17.0ms (10.3% of total)

const: 15.0ms (9.1% of total)

ival-add: 12.0ms (7.3% of total)

ival-neg: 4.0ms (2.4% of total)

ival-div: 3.0ms (1.8% of total)

ival-sqrt: 3.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

19 → 33

Calls

Call 1

Inputs
(.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64))
(*.f64 x #s(literal -1/3 binary64))
(.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64))
(.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x)))
(.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x))
(neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x))))
(fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x) x))
(.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
#s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 (* -1/3 (pow x 2)))
(* -1/3 x)
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ (pow (sqrt -1) 2) (pow x 4))) 2/15)))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((* (+ (* (* x -1/3) x) 1) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* x -1/3) x) 1) (* x -1/3) (* (+ (* (* (- (* 2/15 (* x x)) 1/3) x) x) 1) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (- (* 2/15 (* x x)) 1/3) x) x) 1) (* (- (* 2/15 (* x x)) 1/3) x) (+ (* (sqrt x) (sqrt x)) (* (neg (neg (* (- (* 2/15 (* x x)) 1/3) x))) (* x x))) (* (neg (neg (* (- (* 2/15 (* x x)) 1/3) x))) (* x x)) (neg (neg (* (- (* 2/15 (* x x)) 1/3) x))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (- (* (* x x) 2/15) 1/3) x) (* x x)) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (- (* (* x x) 2/15) 1/3) x) (- (* (* x x) 2/15) 1/3) (* 2/15 (* x x)) (- (* 2/15 (* x x)) 1/3) (+ (* 2/15 (* x x)) -1/3))

3.0ms

-inf

((* (+ (* (* x -1/3) x) 1) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* x -1/3) x) 1) (* x -1/3) (* (+ (* (* (- (* 2/15 (* x x)) 1/3) x) x) 1) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (- (* 2/15 (* x x)) 1/3) x) x) 1) (* (- (* 2/15 (* x x)) 1/3) x) (+ (* (sqrt x) (sqrt x)) (* (neg (neg (* (- (* 2/15 (* x x)) 1/3) x))) (* x x))) (* (neg (neg (* (- (* 2/15 (* x x)) 1/3) x))) (* x x)) (neg (neg (* (- (* 2/15 (* x x)) 1/3) x))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (- (* (* x x) 2/15) 1/3) x) (* x x)) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (- (* (* x x) 2/15) 1/3) x) (- (* (* x x) 2/15) 1/3) (* 2/15 (* x x)) (- (* 2/15 (* x x)) 1/3) (+ (* 2/15 (* x x)) -1/3))

2.0ms

((* (+ (* (* x -1/3) x) 1) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* x -1/3) x) 1) (* x -1/3) (* (+ (* (* (- (* 2/15 (* x x)) 1/3) x) x) 1) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (- (* 2/15 (* x x)) 1/3) x) x) 1) (* (- (* 2/15 (* x x)) 1/3) x) (+ (* (sqrt x) (sqrt x)) (* (neg (neg (* (- (* 2/15 (* x x)) 1/3) x))) (* x x))) (* (neg (neg (* (- (* 2/15 (* x x)) 1/3) x))) (* x x)) (neg (neg (* (- (* 2/15 (* x x)) 1/3) x))) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (- (* (* x x) 2/15) 1/3) x) (* x x)) x) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (* (- (* (* x x) 2/15) 1/3) x) (- (* (* x x) 2/15) 1/3) (* 2/15 (* x x)) (- (* 2/15 (* x x)) 1/3) (+ (* 2/15 (* x x)) -1/3))

simplify103.0ms (1.4%)

Memory

14.3MiB live, 81.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	318
1	208	312
2	530	312
3	1835	308
4	6458	308
0	8311	293

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 32

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
1
(+ 1 (* -1/3 (pow x 2)))
(* -1/3 x)
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ (pow (sqrt -1) 2) (pow x 4))) 2/15)))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(* -1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x)
(* 2/15 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/15 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 2/15 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/15 binary64))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 1 binary64))
(* 2/15 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/15 binary64))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/15 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 2/15 binary64)))
(* -1 (* (pow x 5) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ (pow (sqrt -1) 2) (pow x 4))) 2/15)))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/15 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))

rewrite70.0ms (0.9%)

Memory

-16.1MiB live, 46.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	286
0	57	226
1	226	218
0	1601	212

Stop Event

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

Counts

19 → 332

Calls

Call 1

Inputs
(.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64))
(*.f64 x #s(literal -1/3 binary64))
(.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64))
(.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x)))
(.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x))
(neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x))))
(fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x) x))
(.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
#s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))

Outputs
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64))))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/3 binary64) x) (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 #s(literal -1/3 binary64) x)) x))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -1/3 binary64) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(.f64 (.f64 #s(literal -1/3 binary64) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/3 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 x #s(literal -1/3 binary64))
(.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)))
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(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x)))
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(-.f64 x (.f64 (neg.f64 (.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x))) x))
(-.f64 x (.f64 (neg.f64 (.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)) (.f64 x x)))
(-.f64 x (.f64 (neg.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (.f64 (neg.f64 (.f64 x x)) (.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x)
(+.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x))
(.f64 (.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))
(.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))
(.f64 x #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))
#s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(.f64 (.f64 (*.f64 #s(literal 2/15 binary64) x) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (*.f64 #s(literal 2/15 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 #s(literal 2/15 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 2/15 binary64) x) x)
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 2/15 binary64) x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 #s(literal 2/15 binary64) x)))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 2/15 binary64)))
(.f64 x (.f64 #s(literal 2/15 binary64) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 3 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/27 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -2/45 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 2/15 binary64) x) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)) #s(literal -1/3 binary64))
(fma.f64 (.f64 (.f64 #s(literal 2/15 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 #s(literal 2/15 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 #s(literal 2/15 binary64) x) x #s(literal -1/3 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (.f64 #s(literal 2/15 binary64) x)) #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 2/15 binary64) x)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 x (*.f64 #s(literal 2/15 binary64) x) #s(literal -1/3 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(-.f64 #s(literal -1/3 binary64) (.f64 (neg.f64 (.f64 #s(literal 2/15 binary64) x)) x))
(-.f64 #s(literal -1/3 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 2/15 binary64)))
(-.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x)))
(-.f64 #s(literal -1/3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 2/15 binary64) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64)))) (/.f64 #s(literal -1/27 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))

eval36.0ms (0.5%)

Memory: 9.2MiB live, 38.9MiB allocated
Compiler: Compiled 11 429 to 1 240 computations (89.2% saved)

prune8.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	308	3	311
Fresh	0	0	0
Picked	2	2	4
Done	1	2	3
Total	311	7	318

Accuracy

100.0%

Counts

318 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.9%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
✓	100.0%	(tanh.f64 x)
✓	96.5%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x) x))
	95.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (*.f64 x x))))
✓	96.1%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x))
	96.5%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x) #s(literal 1 binary64)) x))
	95.8%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* x -1/3) x) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 539 to 182 computations (66.2% saved)

regimes27.0ms (0.4%)

Memory

-31.1MiB live, 5.3MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* x -1/3) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (*.f64 x x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x))))
(tanh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(tanh.f64 x)

Calls

2 calls:

24.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
100.0%	1	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes6.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* x -1/3) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))) x) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) (*.f64 x x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))) (*.f64 x x))))

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 #s(approx (- (* (* x x) 2/15) 1/3) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x) #s(literal 1 binary64)) x))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
96.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
96.5%	1	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* x -1/3) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x))

Calls

2 calls:

2.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
96.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
96.1%	1	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* x -1/3) x) 1) #s(literal 1 binary64)) x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* x -1/3) x) 1) #s(literal 1 binary64)) x))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
95.8%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
95.8%	1	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify37.0ms (0.5%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	84
1	55	84
2	123	84
3	390	84
4	1846	72

Stop Event

1×	node limit

Calls

Call 1

Inputs
(tanh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* x -1/3) x) 1) #s(literal 1 binary64)) x))

Outputs
(tanh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 #s(approx (- ( (* x x) 2/15) 1/3) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* x -1/3) x) 1) #s(literal 1 binary64)) x))

soundness818.0ms (10.7%)

Memory

-23.4MiB live, 8.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	169
0	40	109
1	166	109
2	1040	109
0	8280	107
0	81	318
1	208	312
2	530	312
3	1835	308
4	6458	308
0	8311	293
0	28	105
0	46	72
1	155	72
0	1030	72
0	79	210
1	292	210
2	958	200
3	3882	200
0	8155	179
0	36	286
0	57	226
1	226	218
0	1601	212
0	69	232
1	183	226
2	461	226
3	1619	226
4	5479	226
0	8530	216
0	7	27
0	13	12
1	50	12
2	395	12
3	6196	12
0	9201	12

Stop Event

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

Compiler

Compiled 285 to 156 computations (45.3% saved)

preprocess26.0ms (0.3%)

Memory: 17.6MiB live, 17.6MiB allocated
Remove: (negabs x)
Compiler: Compiled 198 to 86 computations (56.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample3.9s (51.3%)

explain201.0ms (2.6%)

preprocess115.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify105.0ms (1.4%)

localize95.0ms (1.2%)

series3.0ms (0%)

simplify152.0ms (2%)

rewrite267.0ms (3.5%)

eval84.0ms (1.1%)

prune13.0ms (0.2%)

simplify88.0ms (1.2%)

localize148.0ms (1.9%)

series12.0ms (0.2%)

simplify144.0ms (1.9%)

rewrite85.0ms (1.1%)

eval27.0ms (0.4%)

prune6.0ms (0.1%)

simplify118.0ms (1.5%)

localize164.0ms (2.1%)

series7.0ms (0.1%)

simplify104.0ms (1.4%)

rewrite161.0ms (2.1%)

eval84.0ms (1.1%)

prune22.0ms (0.3%)

simplify133.0ms (1.7%)

localize224.0ms (2.9%)

series8.0ms (0.1%)

simplify103.0ms (1.4%)

rewrite70.0ms (0.9%)

eval36.0ms (0.5%)

prune8.0ms (0.1%)

regimes27.0ms (0.4%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify37.0ms (0.5%)

soundness818.0ms (10.7%)

preprocess26.0ms (0.3%)

end0.0ms (0%)

Profiling