Metrics for Hyperbolic tangent

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

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)

sample4.3s (55.3%)

Memory

97.9MiB live, 5 313.5MiB allocated; 859ms collecting garbage

Samples

1.8s	3 221×	2	valid
1.1s	4 645×	1	valid
593.0ms	7 788×	0	exit
26.0ms	390×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-exp: 1.6s (56.9% of total)

adjust: 575.0ms (20.1% of total)

ival-div: 216.0ms (7.5% of total)

ival-sub: 198.0ms (6.9% of total)

ival-add: 131.0ms (4.6% of total)

ival-neg: 99.0ms (3.5% of total)

ival-true: 11.0ms (0.4% of total)

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

Bogosity

explain270.0ms (3.5%)

Memory

10.9MiB live, 256.5MiB allocated; 25ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
249	0	-	1	(0.005493274306148536)	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
2	0	-	0	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	0	-	0	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	0	-	0	-	`(exp.f64 x)`
0	2	(-511.79309693538426)	0	-	`(exp.f64 (neg.f64 x))`
0	0	-	0	-	`(neg.f64 x)`
0	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	248	1
`/.f64`	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`	o/o	2	0
↳	`(exp.f64 x)`	overflow	1
↳	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	2
↳	`(exp.f64 (neg.f64 x))`	overflow	1
↳	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	2
↳	`(exp.f64 x)`	overflow	1
↳	`(exp.f64 (neg.f64 x))`	overflow	1
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	2	2

Confusion

	Predicted +	Predicted -
+	250	1
-	2	3

Precision

0.9920634920634921

Recall

0.9960159362549801

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	250	1	0
-	2	2	1

Precision?

0.984313725490196

Recall?

1.0

Freqs

test

number	freq
0	4
1	252

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

106.0ms	204×	2	valid
77.0ms	288×	1	valid
16.0ms	20×	0	valid

Compiler

Compiled 83 to 25 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 177.0ms

ival-exp: 95.0ms (53.6% of total)

ival-sub: 25.0ms (14.1% of total)

adjust: 20.0ms (11.3% of total)

ival-add: 20.0ms (11.3% of total)

ival-neg: 9.0ms (5.1% of total)

ival-div: 7.0ms (3.9% of total)

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

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

preprocess165.0ms (2.1%)

Memory

-17.3MiB live, 178.4MiB allocated; 12ms collecting garbage

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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.2%	(/.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)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

series3.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Counts

7 → 29

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
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))))
(* 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)))
(* -1 x)
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)))))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(+ (exp x) (exp (neg x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(exp (* -1 x))
(+ (exp x) (exp (* -1 x)))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify254.0ms (3.3%)

Memory

-23.7MiB live, 164.0MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	244
1	323	243
2	1028	233
3	4093	233
0	8072	209

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

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))))
(* 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)))
(* -1 x)
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)))))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(+ (exp x) (exp (neg x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(exp (* -1 x))
(+ (exp 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)) (-.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)
(* 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))
(* -1 x)
(neg.f64 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))
(/ (- (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 (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp x)
(exp.f64 x)
(exp (neg x))
(exp.f64 (neg.f64 x))
(+ (exp x) (exp (neg 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)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))

rewrite273.0ms (3.5%)

Memory

41.6MiB live, 186.1MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	13	18
1	50	18
2	395	18
3	6196	18
0	9201	18

Stop Event

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

Counts

7 → 750

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

eval179.0ms (2.3%)

Memory: 0.5MiB live, 143.2MiB allocated; 20ms collecting garbage
Compiler: Compiled 26 274 to 2 840 computations (89.2% saved)

prune56.0ms (0.7%)

Memory

-37.3MiB live, 53.2MiB allocated; 8ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	987	4	991
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	988	4	992

Accuracy

100.0%

Counts

992 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(tanh.f64 x)
▶	97.6%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (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))
▶	97.7%	#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))
▶	97.4%	#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 79 to 50 computations (36.7% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series12.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Counts

20 → 33

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)
(-.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 (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))
(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)
(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)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -17/315 binary64)
(tanh.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)
(* 2/15 (pow x 2))
(pow x 2)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(pow x 4)
(/ (- (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)))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (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))))))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))

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) x 3 -1/3 (/ (- (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) (* 2/15 (* x x)) 2/15 (* x x) 1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (+ (* (pow x 4) -17/315) (- (* 2/15 (* x x)) 1/3))) x) (+ (* (pow x 4) -17/315) (- (* 2/15 (* x x)) 1/3)) (pow x 4) 4 -17/315 (tanh x))
4.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) x 3 -1/3 (/ (- (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) (* 2/15 (* x x)) 2/15 (* x x) 1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (+ (* (pow x 4) -17/315) (- (* 2/15 (* x x)) 1/3))) x) (+ (* (pow x 4) -17/315) (- (* 2/15 (* x x)) 1/3)) (pow x 4) 4 -17/315 (tanh x))
2.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) x 3 -1/3 (/ (- (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) (* 2/15 (* x x)) 2/15 (* x x) 1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (+ (* (pow x 4) -17/315) (- (* 2/15 (* x x)) 1/3))) x) (+ (* (pow x 4) -17/315) (- (* 2/15 (* x x)) 1/3)) (pow x 4) 4 -17/315 (tanh 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) x 3 -1/3 (/ (- (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) (* 2/15 (* x x)) 2/15 (* x x) 1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (+ (* (pow x 4) -17/315) (- (* 2/15 (* x x)) 1/3))) x) (+ (* (pow x 4) -17/315) (- (* 2/15 (* x x)) 1/3)) (pow x 4) 4 -17/315 (tanh x))

4.0ms

inf

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

2.0ms

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

simplify153.0ms (2%)

Memory

-5.2MiB live, 94.3MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	361
1	246	355
2	620	355
3	2062	352
4	6853	352
0	8687	342

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))))
(pow x 3)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(pow x 2)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(pow x 4)
(/ (- (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)))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(/ (- (exp x) (/ 1 (exp x))) (+ (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))))))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))

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))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(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)))
(pow x 4)
(pow.f64 x #s(literal 4 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 (/.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)))
(* (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))
(* -17/315 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2/15 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/315 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -17/315 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 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 (* -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)))))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal -17/315 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -17/315 binary64)) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -17/315 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2/15 binary64) (.f64 x x))))))

rewrite127.0ms (1.7%)

Memory

-8.6MiB live, 85.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	154
0	40	121
1	177	121
0	1444	121

Stop Event

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

Counts

20 → 190

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)
(-.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 (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))
(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)
(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)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -17/315 binary64)
(tanh.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 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.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)
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(.f64 (.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
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(.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
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(pow.f64 (*.f64 x x) #s(literal 2 binary64))
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(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
#s(literal 4 binary64)
#s(literal -17/315 binary64)
(tanh.f64 x)
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
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(*.f64 #s(literal 1 binary64) (tanh.f64 x))
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(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))

eval70.0ms (0.9%)

Memory: 29.7MiB live, 75.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 10 110 to 1 026 computations (89.9% saved)

prune14.0ms (0.2%)

Memory

-28.5MiB live, 23.4MiB allocated; 3ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	297	3	300
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	300	4	304

Accuracy

100.0%

Counts

304 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(tanh.f64 x)
▶	97.6%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (.f64 x x)) x x))
▶	97.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))
▶	97.4%	#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))

Compiler

Compiled 85 to 48 computations (43.5% saved)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series7.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Counts

21 → 38

Calls

Call 1

Inputs
#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 x x) x) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))
(fma.f64 (.f64 (.f64 x x) x) (-.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)
#s(literal 1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (.f64 x x)) x x))
(fma.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (.f64 x x)) x x)
(.f64 (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (.f64 x x))
(fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
#s(literal -17/315 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.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))))
(pow x 3)
(pow x 2)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(pow x 4)
(/ (- (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)))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(/ (- (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))))))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* (* x x) x) (* x x) x -1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) (- (* 2/15 (* x x)) 1/3)) x) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (+ (* -17/315 (pow x 4)) (- (* (* x x) 2/15) 1/3)) (* x x)) x) x) (* (+ (* -17/315 (pow x 4)) (- (* (* x x) 2/15) 1/3)) (* x x)) (+ (* -17/315 (pow x 4)) (- (* (* x x) 2/15) 1/3)) -17/315 (pow x 4) 4 (- (* (* x x) 2/15) 1/3) (* (* x x) 2/15))
3.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* (* x x) x) (* x x) x -1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) (- (* 2/15 (* x x)) 1/3)) x) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (+ (* -17/315 (pow x 4)) (- (* (* x x) 2/15) 1/3)) (* x x)) x) x) (* (+ (* -17/315 (pow x 4)) (- (* (* x x) 2/15) 1/3)) (* x x)) (+ (* -17/315 (pow x 4)) (- (* (* x x) 2/15) 1/3)) -17/315 (pow x 4) 4 (- (* (* x x) 2/15) 1/3) (* (* x x) 2/15))
1.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* (* x x) x) (* x x) x -1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) (- (* 2/15 (* x x)) 1/3)) x) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (+ (* -17/315 (pow x 4)) (- (* (* x x) 2/15) 1/3)) (* x x)) x) x) (* (+ (* -17/315 (pow x 4)) (- (* (* x x) 2/15) 1/3)) (* x x)) (+ (* -17/315 (pow x 4)) (- (* (* x x) 2/15) 1/3)) -17/315 (pow x 4) 4 (- (* (* x x) 2/15) 1/3) (* (* x x) 2/15))

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

-inf

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

1.0ms

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

simplify174.0ms (2.3%)

Memory

14.5MiB live, 154.9MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	414
1	243	408
2	617	408
3	2063	405
4	6866	405
0	8700	392

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

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)
(pow x 2)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(pow x 4)
(/ (- (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)))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(/ (- (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))))))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))

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))
(pow x 2)
(*.f64 x 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 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(.f64 (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))) (*.f64 x x))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(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)))
(pow x 4)
(pow.f64 x #s(literal 4 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 (/.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)))
(* (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))
(* -17/315 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2/15 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/315 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -17/315 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -17/315 binary64))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -17/315 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (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 (neg.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(* -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 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal -17/315 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -17/315 binary64)) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -17/315 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2/15 binary64) (.f64 x x))))))

rewrite267.0ms (3.5%)

Memory

-17.5MiB live, 278.2MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	193
0	43	148
1	188	148
2	1404	148
0	8503	146

Stop Event

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

Counts

21 → 307

Calls

Call 1

Inputs
#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 x x) x) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))
(fma.f64 (.f64 (.f64 x x) x) (-.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)
#s(literal 1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (.f64 x x)) x x))
(fma.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (.f64 x x)) x x)
(.f64 (fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (.f64 x x))
(fma.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
#s(literal -17/315 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.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
#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 (pow.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))) (.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (.f64 (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x) (.f64 x x))) (.f64 (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (fma.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 (neg.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 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 (neg.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 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(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 #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 (.f64 x x) (.f64 #s(literal -1/3 binary64) x) x)
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal -1/3 binary64) x)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 x (.f64 x (.f64 #s(literal -1/3 binary64) x)) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (.f64 (neg.f64 (.f64 x x)) x) (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (.f64 (neg.f64 (.f64 x x)) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(-.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 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 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(-.f64 x (.f64 (neg.f64 (.f64 x x)) (*.f64 #s(literal -1/3 binary64) x)))
(-.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(+.f64 (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (.f64 x (-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (.f64 x (neg.f64 x)) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))) 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 (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 (.f64 x (neg.f64 x)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 x (.f64 x x))
(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))
(fabs.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.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))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1 binary64))
(neg.f64 (neg.f64 x))
(sqrt.f64 (*.f64 x x))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x))))))
(-.f64 #s(literal 0 binary64) (neg.f64 x))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (log.f64 x))
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
(log.f64 (exp.f64 x))
x
#s(literal -1/3 binary64)
#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))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))))))))))
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(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (.f64 #s(literal 2/15 binary64) (.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (.f64 #s(literal 2/15 binary64) (.f64 x x))) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (.f64 #s(literal 2/15 binary64) (.f64 x x))) #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (.f64 #s(literal 2/15 binary64) (.f64 x x))) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (.f64 #s(literal 2/15 binary64) (.f64 x x))) #s(literal 1/3 binary64))))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 289/99225 binary64)) (-.f64 (.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)))) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.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)))))
(-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64) (.f64 #s(literal 2/15 binary64) (.f64 x x))) #s(literal 1/3 binary64))
(-.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -17/315 binary64)))
(-.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64))))
(+.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 289/99225 binary64)) (.f64 (.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)))))) (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -4913/31255875 binary64)) (+.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 289/99225 binary64)) (.f64 (.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)))))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -4913/31255875 binary64)) (+.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 289/99225 binary64)) (.f64 (.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)))))) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 289/99225 binary64)) (.f64 (.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)))))))
(+.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 289/99225 binary64) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (-.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))))) (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -4913/31255875 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 289/99225 binary64) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (-.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -4913/31255875 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 289/99225 binary64) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (-.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))))) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 289/99225 binary64) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (-.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 289/99225 binary64)) (-.f64 (.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)))) (/.f64 (.f64 (neg.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.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)))))
(+.f64 (.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)))
(+.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))
#s(literal -17/315 binary64)
(.f64 (neg.f64 (neg.f64 (.f64 x x))) (neg.f64 (neg.f64 (*.f64 x x))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 x x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
#s(literal 4 binary64)
(/.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)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 8/3375 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64)))) (neg.f64 (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 (.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))) (pow.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 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))) (pow.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 2 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 (.f64 x x) #s(literal 2/15 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 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)))

eval193.0ms (2.5%)

Memory: -5.4MiB live, 177.3MiB allocated; 61ms collecting garbage
Compiler: Compiled 27 195 to 2 500 computations (90.8% saved)

prune33.0ms (0.4%)

Memory

-3.4MiB live, 43.8MiB allocated; 1ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	668	3	671
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	669	6	675

Accuracy

100.0%

Counts

675 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(tanh.f64 x)
▶	97.6%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (*.f64 x x)) x x))
✓	97.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))
▶	97.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 2/15 (* x x)) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x))
✓	97.4%	#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))
▶	97.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (-.f64 x (.f64 (neg.f64 (.f64 x x)) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))))

Compiler

Compiled 154 to 84 computations (45.5% saved)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series10.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Counts

23 → 46

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (-.f64 x (.f64 (neg.f64 (.f64 x x)) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))))
(-.f64 x (.f64 (neg.f64 (.f64 x x)) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))
x
(.f64 (neg.f64 (.f64 x x)) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(neg.f64 (*.f64 x x))
(*.f64 x 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)
#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(approx (- (* 2/15 (* x x)) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x))
(fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 2/15 (* x x)) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
(.f64 (.f64 x x) x)
#s(approx (- (* 2/15 (* x x)) 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 -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (*.f64 x x)) x x))
(fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (*.f64 x x)) x x)
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (*.f64 x x))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
#s(literal -17/315 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 3))
(* (pow x 3) (+ 1/3 (* -2/15 (pow x 2))))
(* -1 (pow x 2))
(pow x 2)
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(pow x 3)
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(* -17/315 (pow x 2))
(/ (- (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 5))
(* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))
(* 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)))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(/ (- (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 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- x (* (neg (* x x)) (* (- (* 2/15 (* x x)) 1/3) x))) x (* (neg (* x x)) (* (- (* 2/15 (* x x)) 1/3) x)) (neg (* x x)) (* x x) (* (- (* 2/15 (* x x)) 1/3) x) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) (- (* 2/15 (* x x)) 1/3)) x) (* (* x x) x) (- (* 2/15 (* x x)) 1/3) (+ (* 2/15 (* x x)) -1/3) -1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (+ (* (* x x) (* (* x x) -17/315)) (- (* 2/15 (* x x)) 1/3)) (* x x)) x) x) (* (+ (* (* x x) (* (* x x) -17/315)) (- (* 2/15 (* x x)) 1/3)) (* x x)) (+ (* (* x x) (* (* x x) -17/315)) (- (* 2/15 (* x x)) 1/3)) (* (* x x) -17/315) -17/315)

3.0ms

-inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- x (* (neg (* x x)) (* (- (* 2/15 (* x x)) 1/3) x))) x (* (neg (* x x)) (* (- (* 2/15 (* x x)) 1/3) x)) (neg (* x x)) (* x x) (* (- (* 2/15 (* x x)) 1/3) x) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) (- (* 2/15 (* x x)) 1/3)) x) (* (* x x) x) (- (* 2/15 (* x x)) 1/3) (+ (* 2/15 (* x x)) -1/3) -1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (+ (* (* x x) (* (* x x) -17/315)) (- (* 2/15 (* x x)) 1/3)) (* x x)) x) x) (* (+ (* (* x x) (* (* x x) -17/315)) (- (* 2/15 (* x x)) 1/3)) (* x x)) (+ (* (* x x) (* (* x x) -17/315)) (- (* 2/15 (* x x)) 1/3)) (* (* x x) -17/315) -17/315)

2.0ms

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- x (* (neg (* x x)) (* (- (* 2/15 (* x x)) 1/3) x))) x (* (neg (* x x)) (* (- (* 2/15 (* x x)) 1/3) x)) (neg (* x x)) (* x x) (* (- (* 2/15 (* x x)) 1/3) x) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) (- (* 2/15 (* x x)) 1/3)) x) (* (* x x) x) (- (* 2/15 (* x x)) 1/3) (+ (* 2/15 (* x x)) -1/3) -1/3 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (+ (* (* x x) (* (* x x) -17/315)) (- (* 2/15 (* x x)) 1/3)) (* x x)) x) x) (* (+ (* (* x x) (* (* x x) -17/315)) (- (* 2/15 (* x x)) 1/3)) (* x x)) (+ (* (* x x) (* (* x x) -17/315)) (- (* 2/15 (* x x)) 1/3)) (* (* x x) -17/315) -17/315)

simplify148.0ms (1.9%)

Memory

11.3MiB live, 108.0MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	474
1	268	468
2	709	468
3	2477	464
0	8042	448

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

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 3))
(* (pow x 3) (+ 1/3 (* -2/15 (pow x 2))))
(* -1 (pow x 2))
(pow x 2)
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(pow x 3)
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(* -17/315 (pow x 2))
(/ (- (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 5))
(* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))
(* 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)))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(/ (- (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 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))

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)
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* -2/15 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -2/15 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(pow x 2)
(*.f64 x x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* 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
#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)
(pow.f64 x #s(literal 3 binary64))
(* -1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(.f64 (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))) (*.f64 x x))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(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)))
(* -17/315 (pow x 2))
(.f64 #s(literal -17/315 binary64) (.f64 x 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)))
(* 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 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -2/15 binary64))
(* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))
(.f64 (-.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 (.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))
(* -17/315 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2/15 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/315 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -17/315 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -17/315 binary64))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -17/315 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (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 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))))
(.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 3) (- (* 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 3 binary64)))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal -17/315 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -17/315 binary64)) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -17/315 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2/15 binary64) (.f64 x x))))))

rewrite244.0ms (3.2%)

Memory

32.2MiB live, 254.3MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	275
0	49	232
1	197	214
2	1545	214
0	8862	206

Stop Event

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

Counts

23 → 325

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (-.f64 x (.f64 (neg.f64 (.f64 x x)) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))))
(-.f64 x (.f64 (neg.f64 (.f64 x x)) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x)))
x
(.f64 (neg.f64 (.f64 x x)) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x))
(neg.f64 (*.f64 x x))
(*.f64 x 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)
#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(approx (- (* 2/15 (* x x)) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x))
(fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 2/15 (* x x)) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
(.f64 (.f64 x x) x)
#s(approx (- (* 2/15 (* x x)) 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 -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (*.f64 x x)) x x))
(fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (*.f64 x x)) x x)
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (*.f64 x x))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
#s(literal -17/315 binary64)

Outputs
#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 (fma.f64 #s(literal -1 binary64) x (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))))) (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 (neg.f64 x) x) #s(literal 1 binary64))) (/.f64 (-.f64 (neg.f64 x) (neg.f64 (.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 (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)))) (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 (neg.f64 x) x) #s(literal 1 binary64))) (/.f64 (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))
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(-.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))) (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -17/315 binary64) x) x #s(literal 2/15 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -17/315 binary64) x) x #s(literal 2/15 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -17/315 binary64) x) x #s(literal 2/15 binary64))) #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (+.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -17/315 binary64) x) x #s(literal 2/15 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -17/315 binary64) x) x #s(literal 2/15 binary64))) #s(literal 1/3 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.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)))) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.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)))))
(-.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal -17/315 binary64) x) x #s(literal 2/15 binary64))) #s(literal 1/3 binary64))
(-.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -17/315 binary64)))
(-.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 (neg.f64 (.f64 #s(literal -17/315 binary64) (.f64 x x))) (.f64 x x)))
(-.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal -17/315 binary64) (.f64 x x))))
(-.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 (neg.f64 x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -17/315 binary64))))
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64))))
(+.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 8 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -17/315 binary64) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))))))) (/.f64 (.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 12 binary64))) (+.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 8 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -17/315 binary64) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))))))
(+.f64 (/.f64 (.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 12 binary64))) (+.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 8 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -17/315 binary64) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))))))) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 8 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -17/315 binary64) (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))))))
(+.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (-.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))))) (/.f64 (.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (-.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))))))
(+.f64 (/.f64 (.f64 #s(literal -4913/31255875 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (-.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))))) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (-.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))))))
(+.f64 (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.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)))) (/.f64 (.f64 (neg.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.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)))))
(+.f64 (.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)))
(+.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))
(.f64 (.f64 #s(literal -17/315 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal -17/315 binary64) x) x)
(.f64 #s(literal -17/315 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -17/315 binary64)))
(.f64 x (.f64 #s(literal -17/315 binary64) x))
#s(literal -17/315 binary64)

eval186.0ms (2.4%)

Memory: -24.1MiB live, 209.1MiB allocated; 88ms collecting garbage
Compiler: Compiled 37 210 to 3 312 computations (91.1% saved)

prune18.0ms (0.2%)

Memory

7.5MiB live, 52.9MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	815	2	817
Fresh	0	0	0
Picked	2	1	3
Done	0	3	3
Total	817	6	823

Accuracy

100.0%

Counts

823 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(tanh.f64 x)
	97.6%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -17/315 binary64) x) x #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (*.f64 x x)) x x))
✓	97.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))
✓	97.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(approx (- (* 2/15 (* x x)) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x))
✓	97.4%	#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))
	97.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (-.f64 x (.f64 (.f64 (neg.f64 x) x) (.f64 #s(approx (- ( 2/15 (* x x)) 1/3) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x))))

Compiler

Compiled 504 to 164 computations (67.5% saved)

regimes7.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

3.0ms	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)

regimes4.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#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 (.f64 (.f64 x x) x) #s(approx (- (* 2/15 (* x x)) 1/3) (fma.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 x x) x) (-.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)))) (-.f64 x (.f64 (.f64 (neg.f64 x) x) (.f64 #s(approx (- ( 2/15 (* x x)) 1/3) (fma.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)))) (-.f64 x (.f64 (neg.f64 (.f64 x x)) (.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 (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -17/315 binary64) x) x #s(literal 2/15 binary64))) #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 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (*.f64 x x)) x x))

Outputs

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

Calls

2 calls:

2.0ms	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
97.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
97.7%	1	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

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)))) (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)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 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
97.4%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
97.4%	1	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify42.0ms (0.5%)

Memory

-45.4MiB live, 54.6MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	59
1	41	59
2	104	59
3	339	59
4	1778	51

Stop Event

1×	node limit

Calls

Call 1

Inputs

(tanh.f64 x)

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

Outputs

(tanh.f64 x)

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

derivations511.0ms (6.6%)

Memory

12.3MiB live, 477.5MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	154
0	40	121
1	177	121
0	1444	121
0	90	244
1	323	243
2	1028	233
3	4093	233
0	8072	209
0	95	414
1	243	408
2	617	408
3	2063	405
4	6866	405
0	8700	392
0	7	33
0	13	18
1	50	18
2	395	18
3	6196	18
0	9201	18

Stop Event

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

Compiler

Compiled 59 to 23 computations (61% saved)

preprocess23.0ms (0.3%)

Memory: 44.8MiB live, 44.8MiB allocated; 0ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 148 to 64 computations (56.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample4.3s (55.3%)

explain270.0ms (3.5%)

preprocess165.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series3.0ms (0%)

simplify254.0ms (3.3%)

rewrite273.0ms (3.5%)

eval179.0ms (2.3%)

prune56.0ms (0.7%)

simplify0.0ms (0%)

series12.0ms (0.2%)

simplify153.0ms (2%)

rewrite127.0ms (1.7%)

eval70.0ms (0.9%)

prune14.0ms (0.2%)

simplify0.0ms (0%)

series7.0ms (0.1%)

simplify174.0ms (2.3%)

rewrite267.0ms (3.5%)

eval193.0ms (2.5%)

prune33.0ms (0.4%)

simplify0.0ms (0%)

series10.0ms (0.1%)

simplify148.0ms (1.9%)

rewrite244.0ms (3.2%)

eval186.0ms (2.4%)

prune18.0ms (0.2%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

simplify42.0ms (0.5%)

derivations511.0ms (6.6%)

preprocess23.0ms (0.3%)

end0.0ms (0%)

Profiling