Metrics for Hyperbolic tangent

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 15 to 9 computations (40% saved)

sample4.5s (44.3%)

Memory

7.3MiB live, 4 168.4MiB allocated

Samples

1.8s	2 919×	2	valid
1.4s	4 762×	1	valid
598.0ms	7 891×	0	exit
45.0ms	575×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-exp: 1.9s (61% of total)

ival-neg: 329.0ms (10.6% of total)

ival-div: 328.0ms (10.6% of total)

adjust: 202.0ms (6.5% of total)

ival-sub: 192.0ms (6.2% of total)

ival-add: 135.0ms (4.4% of total)

ival-true: 12.0ms (0.4% of total)

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

Bogosity

explain305.0ms (3%)

Memory

6.9MiB live, 242.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
245	0	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
4	0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	0	-	-	`(exp.f64 x)`
0	2	(-311.7846038311759)	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	245	1
`/.f64`	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`	o/o	4	0
↳	`(exp.f64 x)`	overflow	3
↳	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	4
↳	`(exp.f64 (neg.f64 x))`	overflow	1
↳	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	4
↳	`(exp.f64 x)`	overflow	3
↳	`(exp.f64 (neg.f64 x))`	overflow	1
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	2	1

Confusion

	Predicted +	Predicted -
+	249	0
-	2	5

Precision

0.9920318725099602

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	249	0	0
-	2	2	3

Precision?

0.9841897233201581

Recall?

1.0

Freqs

test

number	freq
0	5
1	251

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms	296×	1	valid
71.0ms	180×	2	valid
2.0ms	36×	0	valid

Compiler

Compiled 116 to 32 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-exp: 72.0ms (69.7% of total)

adjust: 11.0ms (10.6% of total)

ival-div: 7.0ms (6.8% of total)

ival-add: 5.0ms (4.8% of total)

ival-sub: 5.0ms (4.8% of total)

ival-neg: 2.0ms (1.9% of total)

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

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

preprocess175.0ms (1.7%)

Memory

-2.5MiB live, 38.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	32	27
2	80	26
3	201	26
4	473	26
5	1139	26
6	1555	26
7	1593	26
8	1612	26
9	1631	26
10	1665	26
11	1679	26
0	7	13
0	13	13
1	25	13
2	42	13
3	67	13
4	122	13
5	277	13
6	467	13
7	712	13
8	956	13
9	1123	13
10	1251	13
11	1298	13
0	1298	13

Stop Event

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

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 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))

Symmetry

(negabs x)

Compiler

Compiled 13 to 7 computations (46.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.5%	(/.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)

simplify35.0ms (0.3%)

Memory

27.3MiB live, 27.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	13	33
1	25	33
2	42	33
3	67	33
4	122	33
5	277	33
6	467	33
7	712	33
8	956	33
9	1123	33
10	1251	33
11	1298	33
0	1298	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize120.0ms (1.2%)

Memory

12.6MiB live, 48.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 x)
accuracy	0.00390625	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
accuracy	0.9726672542033008	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
accuracy	56.91478874133763	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

82.0ms	90×	2	valid
29.0ms	148×	1	valid
1.0ms	18×	0	valid

Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-div: 50.0ms (51.3% of total)

ival-exp: 36.0ms (36.9% of total)

adjust: 5.0ms (5.1% of total)

ival-sub: 3.0ms (3.1% of total)

ival-add: 2.0ms (2.1% of total)

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

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

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

series71.0ms (0.7%)

Memory

-35.6MiB live, 2.8MiB allocated

Counts

5 → 28

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)
(exp.f64 (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)))
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
69.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (+ (exp x) (exp (neg x))))
1.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (+ (exp x) (exp (neg x))))
1.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (+ (exp x) (exp (neg x))))

Time

Variable

Point

Expression

69.0ms

((/ (- (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))))

1.0ms

-inf

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

1.0ms

inf

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

simplify235.0ms (2.3%)

Memory

13.3MiB live, 138.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	242
1	259	241
2	604	231
3	1672	231
4	2637	231
5	4162	231
6	4866	231
7	6482	231
0	8180	203

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

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)))
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)) (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 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #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 x #s(literal -1 binary64))
(+ 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 (fma.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 (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))
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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #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))

rewrite256.0ms (2.5%)

Memory

17.1MiB live, 176.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	30
0	13	15
1	55	15
2	424	15
3	7120	15
0	8102	15

Stop Event

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

Counts

5 → 644

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)
(exp.f64 (neg.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

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

eval389.0ms (3.8%)

Memory: -7.8MiB live, 142.0MiB allocated
Compiler: Compiled 16 689 to 1 766 computations (89.4% saved)

prune11.0ms (0.1%)

Memory

-2.7MiB live, 35.4MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	692	4	696
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	693	4	697

Accuracy

100.0%

Counts

697 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)))
▶	100.0%	(tanh.f64 x)
▶	96.6%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x))
▶	96.3%	#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 64 to 41 computations (35.9% saved)

simplify131.0ms (1.3%)

Memory

7.8MiB live, 167.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(expm1.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	14848	(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)))
cost-diff	0	(tanh.f64 x)
cost-diff	0	(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	146
0	50	114
1	100	114
2	208	114
3	516	114
4	1363	114
5	3124	114
6	5944	114
0	8268	114

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #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 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
#s(literal -17/315 binary64)
(*.f64 x x)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(tanh.f64 x)
x
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x))
(/.f64 #s(literal 1/2 binary64) (cosh.f64 x))
#s(literal 1/2 binary64)
(cosh.f64 x)
(exp.f64 x)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #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 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
#s(literal -17/315 binary64)
(*.f64 x x)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)
(tanh.f64 x)
x
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (cosh.f64 x))
(/.f64 #s(literal 1/2 binary64) (cosh.f64 x))
#s(literal 1/2 binary64)
(cosh.f64 x)
(exp.f64 x)

localize266.0ms (2.6%)

Memory

-51.0MiB live, 265.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(expm1.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.0078125	(/.f64 #s(literal 1/2 binary64) (cosh.f64 x))
accuracy	0.02734375	(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x))
accuracy	0.9843860042033008	(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)))
accuracy	0.01171875	(tanh.f64 x)
accuracy	0.0078125	(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
accuracy	0.01171875	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
accuracy	0.015625	(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
accuracy	2.191525955373569	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x))
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.01171875	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
accuracy	2.382167194925763	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))

Samples

102.0ms	148×	1	valid
72.0ms	90×	2	valid
4.0ms	18×	0	valid

Compiler

Compiled 281 to 61 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

adjust: 45.0ms (29.6% of total)

ival-exp: 38.0ms (25% of total)

const: 19.0ms (12.5% of total)

ival-mult: 16.0ms (10.5% of total)

ival-add: 10.0ms (6.6% of total)

ival-div: 8.0ms (5.3% of total)

ival-sub: 3.0ms (2% of total)

ival-pow: 3.0ms (2% of total)

ival-tanh: 3.0ms (2% of total)

ival-cosh: 2.0ms (1.3% of total)

ival-expm1: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

17.0MiB live, 16.9MiB allocated

Counts

13 → 43

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #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 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(tanh.f64 x)
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(/.f64 #s(literal 1/2 binary64) (cosh.f64 x))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(pow x 3)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
1/2
(+ 1/2 (* -1/2 x))
(+ 1/2 (* x (- (* 1/6 (pow x 2)) 1/2)))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/6 (* -1/15 (pow x 2)))) 1/2)))
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 5/48 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/48 (* -61/1440 (pow x 2)))) 1/4)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -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 (* 2 x)) 1) (* (exp x) (+ (exp x) (/ 1 (exp x)))))
(- (exp (* 2 x)) 1)
(/ 1 (* (exp x) (+ (exp x) (/ 1 (exp x)))))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(/ 1 (+ (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 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
7.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (tanh x) (* (- (exp (* 2 x)) 1) (/ (/ 1/2 (cosh x)) (exp x))) (- (exp (* 2 x)) 1) (* 2 x) (/ (/ 1/2 (cosh x)) (exp x)) (+ (* -17/315 (* x x)) 2/15) (/ 1/2 (cosh x)))
6.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (tanh x) (* (- (exp (* 2 x)) 1) (/ (/ 1/2 (cosh x)) (exp x))) (- (exp (* 2 x)) 1) (* 2 x) (/ (/ 1/2 (cosh x)) (exp x)) (+ (* -17/315 (* x x)) 2/15) (/ 1/2 (cosh x)))
3.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3)) x) (+ (* (+ (* -17/315 (* x x)) 2/15) (* x x)) -1/3) (tanh x) (* (- (exp (* 2 x)) 1) (/ (/ 1/2 (cosh x)) (exp x))) (- (exp (* 2 x)) 1) (* 2 x) (/ (/ 1/2 (cosh x)) (exp x)) (+ (* -17/315 (* x x)) 2/15) (/ 1/2 (cosh x)))

Time

Variable

Point

Expression

7.0ms

inf

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

6.0ms

-inf

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

3.0ms

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

simplify156.0ms (1.5%)

Memory

0.9MiB live, 157.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	438
1	356	426
2	871	426
3	2509	426
4	5917	426
0	8269	383

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 42

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)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
1/2
(+ 1/2 (* -1/2 x))
(+ 1/2 (* x (- (* 1/6 (pow x 2)) 1/2)))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/6 (* -1/15 (pow x 2)))) 1/2)))
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 5/48 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/48 (* -61/1440 (pow x 2)))) 1/4)))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -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 (* 2 x)) 1) (* (exp x) (+ (exp x) (/ 1 (exp x)))))
(- (exp (* 2 x)) 1)
(/ 1 (* (exp x) (+ (exp x) (/ 1 (exp x)))))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(/ 1 (+ (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 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 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #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))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/6 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* (pow x 2) (+ 1/6 (* -1/15 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/15 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x #s(literal 1/2 binary64))
2/15
#s(literal 2/15 binary64)
(+ 2/15 (* -17/315 (pow x 2)))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(+ 1/2 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 5/48 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 5/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/48 (* -61/1440 (pow x 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/1440 binary64) (.f64 x x) #s(literal 5/48 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(* -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))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -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 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))) (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))) #s(literal 17/315 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))) (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 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x)
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (.f64 #s(literal 2/15 binary64) x) x (.f64 (-.f64 #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 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/ (- (exp (* 2 x)) 1) (* (exp x) (+ (exp x) (/ 1 (exp x)))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(/ 1 (* (exp x) (+ (exp x) (/ 1 (exp x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(* -17/315 (pow x 2))
(.f64 #s(literal -17/315 binary64) (.f64 x x))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(/ 1 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -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 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #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 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/315 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))

rewrite170.0ms (1.7%)

Memory

5.7MiB live, 238.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	124
0	50	102
1	207	102
2	1557	102
0	8384	102

Stop Event

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

Counts

13 → 729

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #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 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(tanh.f64 x)
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(/.f64 #s(literal 1/2 binary64) (cosh.f64 x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 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))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 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)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 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)))))))
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(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64) #s(literal 8/3375 binary64)) (+.f64 #s(literal 4/225 binary64) (-.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -34/4725 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64) #s(literal 8/3375 binary64)) (fma.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) #s(literal -34/4725 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))) (-.f64 #s(literal 4/225 binary64) (*.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/225 binary64) (-.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -34/4725 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -4913/31255875 binary64) #s(literal 8/3375 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(fma.f64 (*.f64 #s(literal -17/315 binary64) x) x #s(literal 2/15 binary64))
(fma.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4/225 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(fma.f64 x (*.f64 #s(literal -17/315 binary64) x) #s(literal 2/15 binary64))
(-.f64 (/.f64 #s(literal 4/225 binary64) (-.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))) (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64))) (neg.f64 (/.f64 #s(literal 4/225 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal -2/15 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))
(.f64 (/.f64 (.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) (tanh.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 #s(literal -2 binary64) x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (sinh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (/.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 #s(literal -2 binary64) x))))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (/.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
(.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (sinh.f64 x) (.f64 (sinh.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 #s(literal -2 binary64) x))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
(.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 (cosh.f64 x)))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 #s(literal 1/2 binary64) (cosh.f64 x))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
(-.f64 (/.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (exp.f64 (neg.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))

eval131.0ms (1.3%)

Memory: -13.0MiB live, 230.5MiB allocated
Compiler: Compiled 22 654 to 2 517 computations (88.9% saved)

prune15.0ms (0.1%)

Memory

13.5MiB live, 52.1MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	774	5	779
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	777	6	783

Accuracy

100.0%

Counts

783 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
✓	100.0%	(tanh.f64 x)
▶	96.6%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
▶	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
▶	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
▶	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))

Compiler

Compiled 224 to 128 computations (42.9% saved)

simplify132.0ms (1.3%)

Memory

10.7MiB live, 129.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
cost-diff	-5824	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
cost-diff	-5824	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
cost-diff	0	(*.f64 x #s(literal -1/3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
cost-diff	-5824	(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -1/3 binary64) (.f64 x x))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
cost-diff	0	(cosh.f64 x)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (cosh.f64 x))
cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
cost-diff	448	(.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	249
0	63	249
1	117	233
2	205	231
3	533	221
4	1389	221
5	4766	221
0	8218	219

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) (cosh.f64 x))
#s(literal 1/2 binary64)
(cosh.f64 x)
x
(.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
(.f64 #s(literal -1/3 binary64) (.f64 x x))
#s(literal -1/3 binary64)
(*.f64 x x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
(*.f64 x x)
x
(*.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(*.f64 x x)
x
#s(literal -17/315 binary64)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)

Outputs
(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1/2 binary64) (cosh.f64 x))
#s(literal 1/2 binary64)
(cosh.f64 x)
x
(.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 x x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(*.f64 x x)
x
(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal -1/3 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 x x)
x
#s(literal -17/315 binary64)
#s(literal 2/15 binary64)
#s(literal -1/3 binary64)

localize252.0ms (2.5%)

Memory

0.2MiB live, 363.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x)
accuracy	0.015625	(fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
accuracy	0.2109375	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
accuracy	2.191525955373569	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
accuracy	0.06640625	(.f64 (.f64 x x) x)
accuracy	2.382167194925763	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.01688253162065376	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
accuracy	0.30078125	(*.f64 x #s(literal -1/3 binary64))
accuracy	2.382167194925763	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.025232154760301946	(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
accuracy	0.21875	(.f64 #s(literal -1/3 binary64) (.f64 x x))
accuracy	2.382167194925763	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
accuracy	0.00390625	(expm1.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.0078125	(/.f64 #s(literal 1/2 binary64) (cosh.f64 x))
accuracy	0.8085937500000001	(.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))
accuracy	0.9843860042033008	(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))

Samples

131.0ms	148×	1	valid
86.0ms	90×	2	valid
5.0ms	18×	0	valid

Compiler

Compiled 471 to 72 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-exp: 49.0ms (25.7% of total)

ival-mult: 38.0ms (19.9% of total)

adjust: 35.0ms (18.3% of total)

const: 35.0ms (18.3% of total)

ival-add: 18.0ms (9.4% of total)

ival-div: 7.0ms (3.7% of total)

ival-cosh: 3.0ms (1.6% of total)

ival-sub: 3.0ms (1.6% of total)

ival-expm1: 2.0ms (1% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

-9.1MiB live, 28.2MiB allocated

Counts

20 → 57

Calls

Call 1

Inputs
(.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) (cosh.f64 x))
(cosh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
(*.f64 x #s(literal -1/3 binary64))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(.f64 (.f64 x x) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x)

Outputs
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
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))))
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 5/48 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/48 (* -61/1440 (pow x 2)))) 1/4)))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* -1/3 (pow x 2))
(pow x 2)
(* -1/3 x)
(pow x 3)
(* (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))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(* (exp (neg x)) (- (exp (* 2 x)) 1))
(/ (* (exp (neg x)) (- (exp (* 2 x)) 1)) (+ (exp x) (/ 1 (exp x))))
(/ 1 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -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)))))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(- (exp (* 2 x)) 1)
(* -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)))))
(* (exp (* -1 x)) (- (exp (* 2 x)) 1))
(/ (* (exp (* -1 x)) (- (exp (* 2 x)) 1)) (+ (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 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

10.0ms

inf

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

4.0ms

-inf

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

2.0ms

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

simplify165.0ms (1.6%)

Memory

10.2MiB live, 209.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	580
1	434	570
2	1107	568
3	3198	562
4	5560	562
0	8252	518

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 56

Calls

Call 1

Inputs
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
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))))
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 5/48 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/48 (* -61/1440 (pow x 2)))) 1/4)))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* -1/3 (pow x 2))
(pow x 2)
(* -1/3 x)
(pow x 3)
(* (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))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(* (exp (neg x)) (- (exp (* 2 x)) 1))
(/ (* (exp (neg x)) (- (exp (* 2 x)) 1)) (+ (exp x) (/ 1 (exp x))))
(/ 1 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -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)))))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(- (exp (* 2 x)) 1)
(* -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)))))
(* (exp (* -1 x)) (- (exp (* 2 x)) 1))
(/ (* (exp (* -1 x)) (- (exp (* 2 x)) 1)) (+ (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 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
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
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 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 5/48 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 5/48 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/48 (* -61/1440 (pow x 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/1440 binary64) (.f64 x x) #s(literal 5/48 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (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 (.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) 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))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
2/15
#s(literal 2/15 binary64)
(+ 2/15 (* -17/315 (pow x 2)))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(* x (+ 2 (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x)
(* (exp (neg x)) (- (exp (* 2 x)) 1))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/ (* (exp (neg x)) (- (exp (* 2 x)) 1)) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/ 1 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(/ (- (exp x) (exp (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))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -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 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 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 6 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 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x)
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (.f64 #s(literal 2/15 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/315 binary64))))
(* -17/315 (pow x 2))
(.f64 #s(literal -17/315 binary64) (.f64 x x))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(- (exp (* 2 x)) 1)
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(* -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 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 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)))))
(* (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))) #s(literal 17/315 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* (exp (* -1 x)) (- (exp (* 2 x)) 1))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/ (* (exp (* -1 x)) (- (exp (* 2 x)) 1)) (+ (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)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 17/315 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 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)))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/315 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))

rewrite237.0ms (2.3%)

Memory

-20.1MiB live, 172.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	219
0	63	159
1	241	157
2	1457	157
0	8356	155

Stop Event

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

Counts

20 → 556

Calls

Call 1

Inputs
(.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1/2 binary64) (cosh.f64 x))
(cosh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
(*.f64 x #s(literal -1/3 binary64))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(.f64 (.f64 x x) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x)

Outputs
(*.f64 (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 x)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (exp.f64 x)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))))
(.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
(.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x))))
(.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (exp.f64 x)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (exp.f64 x)) #s(literal 1 binary64))
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (exp.f64 x))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (exp.f64 x)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 x) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (exp.f64 x) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 x) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x))
(/.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
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(+.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))

eval131.0ms (1.3%)

Memory: 10.5MiB live, 85.1MiB allocated
Compiler: Compiled 19 401 to 2 124 computations (89.1% saved)

prune60.0ms (0.6%)

Memory

-3.3MiB live, 47.4MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	553	4	557
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	553	10	563

Accuracy

100.0%

Counts

563 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
✓	100.0%	(tanh.f64 x)
✓	96.6%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
▶	96.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
✓	96.3%	#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))
▶	95.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x))
✓	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
✓	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
▶	96.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x))
▶	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))

Compiler

Compiled 260 to 148 computations (43.1% saved)

simplify172.0ms (1.7%)

Memory

4.1MiB live, 80.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64))
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x)
cost-diff	0	#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x))
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
cost-diff	0	#s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x))
cost-diff	0	(fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x)
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x))
cost-diff	-5824	(.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)
cost-diff	0	(*.f64 #s(literal -1/3 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	437
0	65	425
1	133	425
2	230	419
3	401	419
4	783	419
5	1119	419
6	1520	419
7	2212	419
8	2896	419
9	4540	419
10	6460	419
11	7059	419
0	8014	406

Stop Event

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

Calls

Call 1

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

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

localize310.0ms (3%)

Memory

9.6MiB live, 287.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.015625	(fma.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64))
accuracy	0.2109375	(.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x))
accuracy	2.191525955373569	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
accuracy	2.639369733545972	#s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64))
accuracy	0.140625	(.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x)
accuracy	0.2109375	(.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x))
accuracy	2.191525955373569	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x))
accuracy	60.86962013469833	#s(approx (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x))
accuracy	0.13671875	(.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
accuracy	0.3125	(.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)
accuracy	2.191525955373569	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x))
accuracy	2.381151834168361	#s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x))
accuracy	0.013513404760301944	(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
accuracy	0.015625	(.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)
accuracy	0.30078125	(*.f64 #s(literal -1/3 binary64) x)
accuracy	2.382167194925763	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))

Samples

157.0ms	90×	2	valid
94.0ms	148×	1	valid
4.0ms	18×	0	valid

Compiler

Compiled 732 to 76 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-add: 69.0ms (31.9% of total)

ival-mult: 60.0ms (27.7% of total)

ival-exp: 47.0ms (21.7% of total)

adjust: 17.0ms (7.9% of total)

const: 15.0ms (6.9% of total)

ival-div: 4.0ms (1.8% of total)

ival-sub: 3.0ms (1.4% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

17 → 44

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify149.0ms (1.5%)

Memory

-0.8MiB live, 72.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	424
1	233	414
2	647	414
3	2025	414
4	6772	414
0	8036	389

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 43

Calls

Call 1

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

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

rewrite267.0ms (2.6%)

Memory

10.7MiB live, 161.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	344
0	65	290
1	268	288
2	1767	288
0	8335	280

Stop Event

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

Counts

17 → 277

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -1/3 binary64))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/3 binary64) x) (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 x #s(literal -1/3 binary64))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) x) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x) (-.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) (-.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) (.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) x) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal -1 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/3 binary64)))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x x))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(approx ( (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 2 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x (neg.f64 x)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x)) (pow.f64 (.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) x)) x) #s(literal 2 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) x) (.f64 #s(literal -1/3 binary64) x)))) (fma.f64 (pow.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64))))
(fma.f64 (.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) x) x #s(literal -1/3 binary64))
(fma.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (.f64 x x) #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 x (.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) x) #s(literal -1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) x) x))) (/.f64 (.f64 (pow.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) x) x))))
(-.f64 (/.f64 (.f64 (pow.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64))))
(+.f64 (.f64 (.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) x) x) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) x) x))
#s(approx (+ (* (* x x) -17/315) 2/15) #s(literal 2/15 binary64))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) #s(literal -1/9 binary64)) x) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -2/45 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) #s(literal -1/9 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -2/45 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x) #s(literal 3 binary64)) (.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x) (-.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x) (.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) #s(literal 3 binary64)) (.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) (-.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x)) (.f64 (.f64 #s(literal -1/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x)))))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64)))) (.f64 (.f64 #s(literal -1/3 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) #s(literal -1/9 binary64)) x)) (neg.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal -2/45 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) #s(literal -1/9 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal -2/45 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) #s(literal -1/9 binary64))) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) #s(literal -1/9 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -2/45 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/225 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal -2/45 binary64)))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x (*.f64 #s(literal -1/3 binary64) x))
(fma.f64 #s(literal -1/3 binary64) x (.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) x))
(fma.f64 #s(literal -1/3 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64)) (*.f64 #s(literal -1/3 binary64) x))
(fma.f64 x #s(literal -1/3 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) x))
(fma.f64 x #s(literal -1/3 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x) (.f64 #s(literal -1/3 binary64) x))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 #s(literal -1/3 binary64) x))
(+.f64 (.f64 #s(literal -1/3 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) x))
(+.f64 (.f64 #s(literal -1/3 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))))

eval113.0ms (1.1%)

Memory: -39.4MiB live, 66.1MiB allocated
Compiler: Compiled 16 372 to 1 443 computations (91.2% saved)

prune10.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	306	2	308
Fresh	0	0	0
Picked	1	3	4
Done	3	3	6
Total	310	8	318

Accuracy

100.0%

Counts

318 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
✓	100.0%	(tanh.f64 x)
✓	96.6%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
✓	96.7%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
	95.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (fma.f64 (.f64 #s(literal 2/15 binary64) x) x (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x)))) (.f64 x x)) x x))
✓	95.9%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x))
✓	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
	96.3%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 632 to 225 computations (64.4% saved)

regimes31.0ms (0.3%)

Memory

-22.7MiB live, 15.7MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 #s(approx (+ ( (* -1/3 x) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(approx (* (+ (* (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (* x x)) (.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* x x) -17/315) 2/15) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x)) x x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 #s(approx (+ ( (+ (* (* x x) -17/315) 2/15) (* x x)) -1/3) (fma.f64 (.f64 #s(literal 2/15 binary64) x) x (.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x)))) (.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)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x))
(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 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:

26.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	x

Results

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes6.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.7%	1	`x`
96.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) x) x #s(literal 1 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
96.3%	1	`x`
96.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes2.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.3%	1	`x`
96.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify100.0ms (1%)

Memory

0.3MiB live, 82.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	94
1	62	94
2	103	94
3	212	94
4	470	94
5	866	94
6	1819	94
7	3650	94

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

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

soundness984.0ms (9.7%)

Memory

-11.3MiB live, 785.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	580
1	434	570
2	1107	568
3	3198	562
4	5560	562
0	8252	518
0	7	30
0	13	15
1	55	15
2	424	15
3	7120	15
0	8102	15
0	35	219
0	63	159
1	241	157
2	1457	157
0	8356	155
0	90	242
1	259	241
2	604	231
3	1672	231
4	2637	231
5	4162	231
6	4866	231
7	6482	231
0	8180	203
0	29	124
0	50	102
1	207	102
2	1557	102
0	8384	102
0	91	424
1	233	414
2	647	414
3	2025	414
4	6772	414
0	8036	389

Stop Event

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

Compiler

Compiled 268 to 142 computations (47% saved)

preprocess50.0ms (0.5%)

Memory: 11.6MiB live, 48.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 218 to 94 computations (56.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample4.5s (44.3%)

explain305.0ms (3%)

preprocess175.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify35.0ms (0.3%)

localize120.0ms (1.2%)

series71.0ms (0.7%)

simplify235.0ms (2.3%)

rewrite256.0ms (2.5%)

eval389.0ms (3.8%)

prune11.0ms (0.1%)

simplify131.0ms (1.3%)

localize266.0ms (2.6%)

series16.0ms (0.2%)

simplify156.0ms (1.5%)

rewrite170.0ms (1.7%)

eval131.0ms (1.3%)

prune15.0ms (0.1%)

simplify132.0ms (1.3%)

localize252.0ms (2.5%)

series17.0ms (0.2%)

simplify165.0ms (1.6%)

rewrite237.0ms (2.3%)

eval131.0ms (1.3%)

prune60.0ms (0.6%)

simplify172.0ms (1.7%)

localize310.0ms (3%)

series7.0ms (0.1%)

simplify149.0ms (1.5%)

rewrite267.0ms (2.6%)

eval113.0ms (1.1%)

prune10.0ms (0.1%)

regimes31.0ms (0.3%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes2.0ms (0%)

simplify100.0ms (1%)

soundness984.0ms (9.7%)

preprocess50.0ms (0.5%)

end0.0ms (0%)

Profiling