Metrics for Hyperbolic sine

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample2.0s (30.1%)

Memory

46.5MiB live, 2 178.3MiB allocated; 417ms collecting garbage

Samples

738.0ms	2 539×	1	valid
691.0ms	1 579×	2	valid
322.0ms	4 138×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-exp: 1.0s (70.2% of total)

ival-div: 169.0ms (11.4% of total)

adjust: 119.0ms (8% of total)

ival-sub: 106.0ms (7.2% of total)

ival-neg: 34.0ms (2.3% of total)

ival-true: 6.0ms (0.4% of total)

exact: 5.0ms (0.3% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain174.0ms (2.6%)

Memory

-26.4MiB live, 212.2MiB allocated; 19ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
146	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
0	-	-	`(exp.f64 x)`
0	-	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	146	0

Confusion

	Predicted +	Predicted -
+	146	0
-	0	110

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	146	0	0
-	0	0	110

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	110
1	146

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms	110×	2	valid
31.0ms	178×	1	valid
13.0ms	224×	0	valid

Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-exp: 45.0ms (65.2% of total)

adjust: 8.0ms (11.6% of total)

ival-div: 6.0ms (8.7% of total)

ival-sub: 6.0ms (8.7% of total)

ival-neg: 2.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess151.0ms (2.2%)

Memory

47.7MiB live, 187.7MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	35	7
2	75	7
3	350	7
4	2676	5
5	6389	5
0	7	8
0	12	2
1	25	2
2	56	2
3	213	2
4	1363	2
5	4923	2
0	8074	2

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

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

Symmetry

(negabs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.3%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify0.0ms (0%)

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

series4.0ms (0.1%)

Memory

-41.7MiB live, 4.7MiB allocated; 2ms collecting garbage

Counts

7 → 23

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(exp (* -1 x))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)
1.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)
1.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

Time

Variable

Point

Expression

2.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

1.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

1.0ms

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

simplify154.0ms (2.3%)

Memory

53.0MiB live, 235.8MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	184
1	279	183
2	903	177
3	3536	177
4	6904	177
0	8034	157

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(exp (* -1 x))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp x)
(exp.f64 x)
(exp (neg x))
(exp.f64 (neg.f64 x))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp (* -1 x))
(exp.f64 (neg.f64 x))

rewrite301.0ms (4.4%)

Memory

-12.4MiB live, 279.9MiB allocated; 127ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	12	15
1	43	15
2	298	15
3	4659	15
0	9463	15

Stop Event

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

Counts

7 → 467

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)

Outputs
(.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (sinh.f64 x))
(.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (sinh.f64 x))
(*.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 x) #s(literal -2 binary64)))
(*.f64 (sinh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) (neg.f64 (cosh.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (cosh.f64 x) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 x)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (cosh.f64 x))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (cosh.f64 x) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (pow.f64 (exp.f64 x) #s(literal -9 binary64))) (.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x)))) (neg.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x)))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x)))) (.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x)))) (neg.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x))) (.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) x))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 x)
(neg.f64 (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(-.f64 (.f64 (sinh.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (cosh.f64 (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))) (.f64 (cosh.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (sinh.f64 (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))))
(-.f64 (.f64 #s(literal 0 binary64) (cosh.f64 x)) (.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(-.f64 (-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) #s(literal -2 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -2 binary64)) (cosh.f64 x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (cosh.f64 x) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (cosh.f64 x) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
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(-.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))))
(+.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(log.f64 (exp.f64 (neg.f64 x)))
#s(literal 2 binary64)

eval148.0ms (2.2%)

Memory: 21.9MiB live, 187.7MiB allocated; 79ms collecting garbage
Compiler: Compiled 11 819 to 2 064 computations (82.5% saved)

prune48.0ms (0.7%)

Memory

-20.7MiB live, 46.0MiB allocated; 45ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	520	6	526
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	521	6	527

Accuracy

100.0%

Counts

527 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) #s(literal 2 binary64))
▶	94.4%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) #s(literal 2 binary64))
▶	89.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	59.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
▶	100.0%	(sinh.f64 x)
	47.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 194 to 134 computations (30.9% saved)

simplify0.0ms (0%)

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

series24.0ms (0.4%)

Memory

-6.9MiB live, 38.9MiB allocated; 17ms collecting garbage

Counts

25 → 51

Calls

Call 1

Inputs
(sinh.f64 x)
x
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.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))
(.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)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.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))
(.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)
(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))
(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))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(pow x 2)
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	((sinh x) x (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) 2 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) 1/3 (* x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (+ (* 1/60 (* x x)) 1/3) 1/60 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) 1/2520)
4.0ms	x	@	-inf	((sinh x) x (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) 2 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) 1/3 (* x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (+ (* 1/60 (* x x)) 1/3) 1/60 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) 1/2520)
2.0ms	x	@	0	((sinh x) x (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) 2 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) 1/3 (* x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (+ (* 1/60 (* x x)) 1/3) 1/60 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) 1/2520)

Time

Variable

Point

Expression

17.0ms

inf

((sinh x) x (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) 2 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) 1/3 (* x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (+ (* 1/60 (* x x)) 1/3) 1/60 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) 1/2520)

4.0ms

-inf

((sinh x) x (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) 2 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) 1/3 (* x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (+ (* 1/60 (* x x)) 1/3) 1/60 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) 1/2520)

2.0ms

((sinh x) x (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) 2 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) 1/3 (* x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (+ (* 1/60 (* x x)) 1/3) 1/60 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) 1/2520)

simplify153.0ms (2.3%)

Memory

17.2MiB live, 255.4MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	526
1	447	520
2	1435	517
3	6205	517
0	8270	491

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(pow x 2)
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) 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)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(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))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(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))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(* 1/60 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/60 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/60 (pow x 2))
(.f64 #s(literal 1/60 binary64) (.f64 x x))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2520 (pow x 2))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))))

rewrite256.0ms (3.8%)

Memory

-0.5MiB live, 376.0MiB allocated; 101ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	256
0	51	240
1	190	240
2	1323	240
0	8361	240

Stop Event

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

Counts

25 → 427

Calls

Call 1

Inputs
(sinh.f64 x)
x
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.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))
(.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)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.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))
(.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)
(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))
(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))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)

Outputs
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (sinh.f64 x))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (cosh.f64 x))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (neg.f64 (*.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 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (*.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 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(sinh.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (.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 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (.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 2 binary64))))
(-.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(+.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.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 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1 binary64))
(neg.f64 (neg.f64 x))
(sqrt.f64 (*.f64 x x))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x))))))
(-.f64 #s(literal 0 binary64) (neg.f64 x))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(log.f64 (exp.f64 x))
x
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))) #s(literal -2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal -2 binary64)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(+.f64 x x)
#s(literal 2 binary64)
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))) #s(literal -2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal -2 binary64)))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(/.f64 (-.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 2 binary64) x) (.f64 #s(literal 2 binary64) x))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x)))
(/.f64 (-.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 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) (.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (.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 2 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (.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 #s(literal 2 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 1/3 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 2 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 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x)))))
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(fma.f64 (fabs.f64 (*.f64 #s(literal 1/2520 binary64) (neg.f64 x))) x #s(literal 1/60 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/2520 binary64) x)) x #s(literal 1/60 binary64))
(fma.f64 (*.f64 #s(literal 1/2520 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/60 binary64))
(fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64))
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(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/2520 binary64) x)) #s(literal 1/60 binary64))
(fma.f64 x (*.f64 #s(literal 1/2520 binary64) x) #s(literal 1/60 binary64))
(-.f64 (/.f64 #s(literal 1/3600 binary64) (-.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (*.f64 x x)))))
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(+.f64 (/.f64 #s(literal 1/216000 binary64) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 x x) #s(literal 1/151200 binary64))))) (/.f64 (.f64 #s(literal 1/16003008000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (*.f64 x x) #s(literal 1/151200 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/16003008000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 x x) #s(literal 1/151200 binary64))))) (/.f64 #s(literal 1/216000 binary64) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (*.f64 x x) #s(literal 1/151200 binary64))))))
(+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64))
(+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (.f64 x x)))
#s(literal 1/2520 binary64)

eval114.0ms (1.7%)

Memory: 19.3MiB live, 255.7MiB allocated; 19ms collecting garbage
Compiler: Compiled 30 298 to 4 079 computations (86.5% saved)

prune28.0ms (0.4%)

Memory

-18.7MiB live, 78.5MiB allocated; 9ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	814	11	825
Fresh	0	1	1
Picked	4	1	5
Done	0	0	0
Total	818	13	831

Accuracy

100.0%

Counts

831 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
	94.4%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
▶	59.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	94.8%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) #s(literal 2 binary64))
▶	94.4%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	95.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.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)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	89.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	93.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	35.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
✓	100.0%	(sinh.f64 x)
	47.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 596 to 394 computations (33.9% saved)

simplify0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

series10.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Counts

35 → 60

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (.f64 (.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)) x) x) x (*.f64 #s(literal 2 binary64) x))
(.f64 (.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)) x) x)
(.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)) x)
(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))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
(+.f64 x x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/60 binary64) x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x)))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 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))))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(pow x 2)
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(* 1/60 x)
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(* 1/2520 (pow x 2))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) x) (* 2 x)) (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) 1/2520 (* x x) x 1/60 1/3 (* 2 x) 2 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (* 1/3 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) (+ (* (* 1/60 x) x) 1/3) (* 1/60 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (* 1/2520 (* x x)))
4.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) x) (* 2 x)) (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) 1/2520 (* x x) x 1/60 1/3 (* 2 x) 2 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (* 1/3 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) (+ (* (* 1/60 x) x) 1/3) (* 1/60 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (* 1/2520 (* x x)))
2.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) x) (* 2 x)) (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) 1/2520 (* x x) x 1/60 1/3 (* 2 x) 2 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (* 1/3 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) (+ (* (* 1/60 x) x) 1/3) (* 1/60 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (* 1/2520 (* x x)))

Time

Variable

Point

Expression

4.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) x) (* 2 x)) (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) 1/2520 (* x x) x 1/60 1/3 (* 2 x) 2 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (* 1/3 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) (+ (* (* 1/60 x) x) 1/3) (* 1/60 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (* 1/2520 (* x x)))

4.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) x) (* 2 x)) (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) 1/2520 (* x x) x 1/60 1/3 (* 2 x) 2 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (* 1/3 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) (+ (* (* 1/60 x) x) 1/3) (* 1/60 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (* 1/2520 (* x x)))

2.0ms

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) x) (* 2 x)) (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) 1/2520 (* x x) x 1/60 1/3 (* 2 x) 2 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (* 1/3 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) (+ (* (* 1/60 x) x) 1/3) (* 1/60 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (* 1/2520 (* x x)))

simplify224.0ms (3.3%)

Memory

-25.2MiB live, 163.7MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	628
1	484	622
2	1525	618
3	6382	618
0	8457	586

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 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))))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(pow x 2)
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(* 1/60 x)
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(* 1/2520 (pow x 2))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) 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 (.f64 x x) #s(literal 1/60 binary64) #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 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) x) x)
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(pow x 2)
(*.f64 x x)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(* 1/60 x)
(*.f64 #s(literal 1/60 binary64) x)
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* 1/2520 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2520 binary64))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(* 1/60 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/60 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64))))

rewrite348.0ms (5.1%)

Memory

2.4MiB live, 273.9MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	425
0	73	402
1	257	402
2	1858	402
0	9174	399

Stop Event

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

Counts

35 → 1 176

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (.f64 (.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)) x) x) x (*.f64 #s(literal 2 binary64) x))
(.f64 (.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)) x) x)
(.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)) x)
(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))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
(+.f64 x x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/60 binary64) x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x)))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))

Outputs
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))) #s(literal -2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal -2 binary64)))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
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(/.f64 (fma.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x)))) (.f64 (fma.f64 (pow.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x)))) #s(literal 1/27 binary64))) (.f64 (fma.f64 (pow.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x)))) (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x)))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x)))))
(fma.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (neg.f64 x)) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (.f64 x x) #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))
(fma.f64 x (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)))) (/.f64 (pow.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 1/3 binary64))))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x)) x))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) (*.f64 x x)))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 x x)) #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))) (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))) (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))))
(+.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 1/2520 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 #s(literal 1/2520 binary64) x)) x)
(.f64 (.f64 #s(literal 1/2520 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/2520 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/2520 binary64)))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 1/2520 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 1/2520 binary64) x)))
(.f64 x (.f64 #s(literal 1/2520 binary64) x))
(sqrt.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/2520 binary64))))
(fabs.f64 (.f64 (.f64 x x) #s(literal 1/2520 binary64)))

eval378.0ms (5.6%)

Memory: 10.5MiB live, 498.8MiB allocated; 59ms collecting garbage
Compiler: Compiled 58 153 to 6 982 computations (88% saved)

prune73.0ms (1.1%)

Memory

-27.1MiB live, 121.8MiB allocated; 9ms collecting garbage

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1 477	10	1 487
Fresh	4	3	7
Picked	2	3	5
Done	0	1	1
Total	1 483	17	1 500

Accuracy

100.0%

Counts

1 500 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) (.f64 x x) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
▶	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (+.f64 x x))) #s(literal 2 binary64))
	94.8%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x))))) #s(literal 2 binary64))
▶	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
▶	94.4%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
✓	59.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	95.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓	95.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	94.4%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓	89.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	93.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* 1/60 x) x) 1/3) (.f64 (.f64 x x) #s(literal 1/60 binary64))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	35.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
✓	100.0%	(sinh.f64 x)
	47.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 779 to 508 computations (34.8% saved)

simplify0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

series17.0ms (0.3%)

Memory

30.5MiB live, 30.5MiB allocated; 0ms collecting garbage

Counts

42 → 76

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x)
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(*.f64 x x)
x
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x))
(.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)
#s(approx (+ (* 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x)))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x)
(.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/60 binary64) x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (+.f64 x x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (+.f64 x x)))
(fma.f64 (.f64 (.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)) x) x) x (+.f64 x x))
(.f64 (.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)) x) x)
(.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)) x)
(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))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(+.f64 x x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.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 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 2 binary64)) x))
(.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 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 2 binary64)) x)
(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 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 2 binary64))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 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))))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/60 x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(pow x 2)
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(sqrt x)
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 3))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1/2520 (* (pow x 7) (pow (sqrt -1) 2)))
(* -1 (* (pow x 7) (+ (* 1/2520 (pow (sqrt -1) 2)) (* 1/60 (/ (pow (sqrt -1) 2) (pow x 2))))))
(* -1 (* (pow x 7) (+ (* 1/2520 (pow (sqrt -1) 2)) (+ (* 1/60 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/3 (/ (pow (sqrt -1) 2) (pow x 4)))))))
(* -1 (* (pow x 7) (- (+ (* 1/2520 (pow (sqrt -1) 2)) (+ (* 1/60 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/3 (/ (pow (sqrt -1) 2) (pow x 4))))) (* 2 (/ 1 (pow x 6))))))
(* -1/2520 (* (pow x 6) (pow (sqrt -1) 2)))
(* (pow x 6) (+ (* -1/60 (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/2520 (pow (sqrt -1) 2))))
(* (pow x 6) (+ (* -1/3 (/ (pow (sqrt -1) 2) (pow x 4))) (+ (* -1/60 (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/2520 (pow (sqrt -1) 2)))))
(* (pow x 6) (+ (* -1/3 (/ (pow (sqrt -1) 2) (pow x 4))) (+ (* -1/60 (/ (pow (sqrt -1) 2) (pow x 2))) (+ (* -1/2520 (pow (sqrt -1) 2)) (* 2 (/ 1 (pow x 6)))))))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

9.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) x) (* 2 x)) (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) (* (+ (* (* x x) 1/2520) 1/60) x) (+ (* (* x x) 1/2520) 1/60) (* x x) x 1/2520 1/60 1/3 (* 2 x) 2 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (* 1/3 (* x x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* (* (+ (* (* 1/60 x) x) 1/3) x) x) x) (* 2 x)) (* (* (+ (* (* 1/60 x) x) 1/3) x) x) (* (+ (* (* 1/60 x) x) 1/3) x) (+ (* (* 1/60 x) x) 1/3) (* 1/60 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) x) (+ x x)) (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* (* (sqrt x) (sqrt x)) x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* (* (sqrt x) (sqrt x)) x)) 2) (* (* (sqrt x) (sqrt x)) x) (* (sqrt x) (sqrt x)) (sqrt x))

4.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) x) (* 2 x)) (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) (* (+ (* (* x x) 1/2520) 1/60) x) (+ (* (* x x) 1/2520) 1/60) (* x x) x 1/2520 1/60 1/3 (* 2 x) 2 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (* 1/3 (* x x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* (* (+ (* (* 1/60 x) x) 1/3) x) x) x) (* 2 x)) (* (* (+ (* (* 1/60 x) x) 1/3) x) x) (* (+ (* (* 1/60 x) x) 1/3) x) (+ (* (* 1/60 x) x) 1/3) (* 1/60 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) x) (+ x x)) (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* (* (sqrt x) (sqrt x)) x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* (* (sqrt x) (sqrt x)) x)) 2) (* (* (sqrt x) (sqrt x)) x) (* (sqrt x) (sqrt x)) (sqrt x))

3.0ms

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) x) (* 2 x)) (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) (* (+ (* (* x x) 1/2520) 1/60) x) (+ (* (* x x) 1/2520) 1/60) (* x x) x 1/2520 1/60 1/3 (* 2 x) 2 (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (* 1/3 (* x x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* (* (+ (* (* 1/60 x) x) 1/3) x) x) x) (* 2 x)) (* (* (+ (* (* 1/60 x) x) 1/3) x) x) (* (+ (* (* 1/60 x) x) 1/3) x) (+ (* (* 1/60 x) x) 1/3) (* 1/60 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) x) (+ x x)) (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* (* (sqrt x) (sqrt x)) x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* (* (sqrt x) (sqrt x)) x)) 2) (* (* (sqrt x) (sqrt x)) x) (* (sqrt x) (sqrt x)) (sqrt x))

simplify152.0ms (2.2%)

Memory

7.0MiB live, 192.0MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	764
1	639	758
2	2305	756
0	7652	721

Stop Event

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

Counts

76 → 75

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 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))))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/60 x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(pow x 2)
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(sqrt x)
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 3))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1/2520 (* (pow x 7) (pow (sqrt -1) 2)))
(* -1 (* (pow x 7) (+ (* 1/2520 (pow (sqrt -1) 2)) (* 1/60 (/ (pow (sqrt -1) 2) (pow x 2))))))
(* -1 (* (pow x 7) (+ (* 1/2520 (pow (sqrt -1) 2)) (+ (* 1/60 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/3 (/ (pow (sqrt -1) 2) (pow x 4)))))))
(* -1 (* (pow x 7) (- (+ (* 1/2520 (pow (sqrt -1) 2)) (+ (* 1/60 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/3 (/ (pow (sqrt -1) 2) (pow x 4))))) (* 2 (/ 1 (pow x 6))))))
(* -1/2520 (* (pow x 6) (pow (sqrt -1) 2)))
(* (pow x 6) (+ (* -1/60 (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/2520 (pow (sqrt -1) 2))))
(* (pow x 6) (+ (* -1/3 (/ (pow (sqrt -1) 2) (pow x 4))) (+ (* -1/60 (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/2520 (pow (sqrt -1) 2)))))
(* (pow x 6) (+ (* -1/3 (/ (pow (sqrt -1) 2) (pow x 4))) (+ (* -1/60 (/ (pow (sqrt -1) 2) (pow x 2))) (+ (* -1/2520 (pow (sqrt -1) 2)) (* 2 (/ 1 (pow x 6)))))))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(* 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)
(* 1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(.f64 (.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)) x) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(.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)) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(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))
(* 1/60 x)
(*.f64 #s(literal 1/60 binary64) x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x)
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(pow x 2)
(*.f64 x x)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(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))
(sqrt x)
(sqrt.f64 x)
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal -1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal -1/2520 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* 1/2520 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2520 binary64))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal -1/2520 binary64)))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal -1/2520 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2520 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2520 binary64))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x)
(* 1/2520 (pow x 2))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* 1/60 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/60 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/60 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/60 binary64))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(* 1/60 (pow x 2))
(.f64 #s(literal 1/60 binary64) (.f64 x x))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/2520 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal -1/2520 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(.f64 (neg.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal -1/3 binary64)) x) x) #s(literal 1/60 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1/2520 (* (pow x 7) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* -1 (* (pow x 7) (+ (* 1/2520 (pow (sqrt -1) 2)) (* 1/60 (/ (pow (sqrt -1) 2) (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal -1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ (* 1/2520 (pow (sqrt -1) 2)) (+ (* 1/60 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/3 (/ (pow (sqrt -1) 2) (pow x 4)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ (* 1/2520 (pow (sqrt -1) 2)) (+ (* 1/60 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/3 (/ (pow (sqrt -1) 2) (pow x 4))))) (* 2 (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1/2520 (* (pow x 6) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ (* -1/60 (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/2520 (pow (sqrt -1) 2))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal -1/2520 binary64)))
(* (pow x 6) (+ (* -1/3 (/ (pow (sqrt -1) 2) (pow x 4))) (+ (* -1/60 (/ (pow (sqrt -1) 2) (pow x 2))) (* -1/2520 (pow (sqrt -1) 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* (pow x 6) (+ (* -1/3 (/ (pow (sqrt -1) 2) (pow x 4))) (+ (* -1/60 (/ (pow (sqrt -1) 2) (pow x 2))) (+ (* -1/2520 (pow (sqrt -1) 2)) (* 2 (/ 1 (pow x 6)))))))
(.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/2520 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite143.0ms (2.1%)

Memory

5.3MiB live, 140.6MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	547
0	89	488
1	341	488
0	2117	481

Stop Event

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

Counts

42 → 836

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x)
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(*.f64 x x)
x
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x))
(.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)
#s(approx (+ (* 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x)))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x)
(.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/60 binary64) x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (+.f64 x x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (+.f64 x x)))
(fma.f64 (.f64 (.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)) x) x) x (+.f64 x x))
(.f64 (.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)) x) x)
(.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)) x)
(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))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(+.f64 x x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.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 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 2 binary64)) x))
(.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 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 2 binary64)) x)
(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 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 2 binary64))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)

Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))) #s(literal -2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
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(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x))) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 2 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)) #s(literal 2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 x (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)) x))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64))) (.f64 x x)))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 (.f64 x x)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64))))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x))) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (+.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) (.f64 #s(literal 2 binary64) x))) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x))
(+.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))
(.f64 (.f64 x (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(neg.f64 (neg.f64 x))
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
x
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))

eval306.0ms (4.5%)

Memory: -17.5MiB live, 558.2MiB allocated; 157ms collecting garbage
Compiler: Compiled 39 716 to 5 888 computations (85.2% saved)

prune55.0ms (0.8%)

Memory

35.7MiB live, 219.2MiB allocated; 20ms collecting garbage

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	1 195	11	1 206
Fresh	2	6	8
Picked	3	2	5
Done	0	4	4
Total	1 200	23	1 223

Accuracy

100.0%

Counts

1 223 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x x)) #s(literal 2 binary64))
	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) (.f64 x x) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
	95.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))) #s(literal 2 binary64))
	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x))) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
	94.4%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (+.f64 x x))) #s(literal 2 binary64))
✓	59.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	94.8%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 2 binary64)) (.f64 (sqrt.f64 x) (sqrt.f64 x)))) #s(literal 2 binary64))
✓	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	95.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓	95.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	94.4%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	95.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓	89.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	93.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* 1/60 x) x) 1/3) (.f64 (.f64 x x) #s(literal 1/60 binary64))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	94.8%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64))
	35.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
✓	35.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
✓	100.0%	(sinh.f64 x)
	47.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))

Compiler

Compiled 1 608 to 621 computations (61.4% saved)

regimes111.0ms (1.6%)

Memory

0.8MiB live, 95.5MiB allocated; 32ms collecting garbage

Counts

39 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* 1/60 x) x) 1/3) (.f64 (.f64 x x) #s(literal 1/60 binary64))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (+.f64 x x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.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)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (+.f64 x x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) (.f64 x x) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x))) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 2 binary64)) (.f64 (sqrt.f64 x) (sqrt.f64 x)))) #s(literal 2 binary64))
(sinh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Outputs
(sinh.f64 x)

Calls

3 calls:

64.0ms	x
7.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
7.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
100.0%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes33.0ms (0.5%)

Memory

14.9MiB live, 59.1MiB allocated; 9ms collecting garbage

Counts

36 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* 1/60 x) x) 1/3) (.f64 (.f64 x x) #s(literal 1/60 binary64))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (+.f64 x x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.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)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (+.f64 x x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) (.f64 x x) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.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)) x) x) x (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 x) (sqrt.f64 x))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x))) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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 (.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 2 binary64)) (.f64 (sqrt.f64 x) (sqrt.f64 x)))) #s(literal 2 binary64))

Outputs

(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x x)) #s(literal 2 binary64))

Calls

3 calls:

17.0ms	x
7.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
7.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
95.2%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
95.2%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
95.2%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes18.0ms (0.3%)

Memory

-11.2MiB live, 34.6MiB allocated; 5ms collecting garbage

Counts

20 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* 1/60 x) x) 1/3) (.f64 (.f64 x x) #s(literal 1/60 binary64))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (+.f64 x x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.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)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Outputs

(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Calls

3 calls:

6.0ms	x
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
95.2%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
95.2%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
95.2%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes37.0ms (0.5%)

Memory

-38.8MiB live, 26.0MiB allocated; 34ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* 1/60 x) x) 1/3) (.f64 (.f64 x x) #s(literal 1/60 binary64))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (+.f64 x x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Outputs

(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Calls

3 calls:

28.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
5.0ms	x
3.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
95.0%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
95.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
95.0%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes11.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* 1/60 x) x) 1/3) (.f64 (.f64 x x) #s(literal 1/60 binary64))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (+.f64 x x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))

Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (+.f64 x x))) #s(literal 2 binary64))

Calls

3 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
3.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
94.4%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
94.4%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
94.4%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes12.0ms (0.2%)

Memory

-30.0MiB live, 18.7MiB allocated; 5ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* 1/60 x) x) 1/3) (.f64 (.f64 x x) #s(literal 1/60 binary64))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.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)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Calls

3 calls:

5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
3.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
94.4%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
94.4%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
94.4%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes7.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 (.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (* 1/60 x) x) 1/3) (.f64 (.f64 x x) #s(literal 1/60 binary64))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Outputs

(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
93.9%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
93.9%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
93.9%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes6.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
89.2%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
89.2%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
89.2%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes6.0ms (0.1%)

Memory

-32.1MiB live, 14.2MiB allocated; 3ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))

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

Calls

3 calls:

3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	x
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
88.8%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
88.8%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
88.8%	2	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes4.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
59.2%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
59.2%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
59.2%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch16.0ms (0.2%)

Memory

31.5MiB live, 31.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.4457465622497819	162658608.33147982

Samples

8.0ms

144×

valid

Compiler

Compiled 335 to 272 computations (18.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-exp: 3.0ms (53.5% of total)

ival-sub: 1.0ms (17.8% of total)

ival-div: 1.0ms (17.8% of total)

ival-neg: 1.0ms (17.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify43.0ms (0.6%)

Memory

-17.7MiB live, 80.0MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	235
1	96	235
2	183	235
3	463	235
4	1199	215

Stop Event

1×	node limit

Calls

Call 1

Inputs
(sinh.f64 x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (+.f64 x x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))

Outputs
(sinh.f64 x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x (+.f64 x x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( 1/3 (* x x)) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))

derivations1.1s (16%)

Memory

16.6MiB live, 962.7MiB allocated; 146ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	256
0	51	240
1	190	240
2	1323	240
0	8361	240
0	120	526
1	447	520
2	1435	517
3	6205	517
0	8270	491
0	74	184
1	279	183
2	903	177
3	3536	177
4	6904	177
0	8034	157
0	7	23
0	12	15
1	43	15
2	298	15
3	4659	15
0	9463	15
0	42	425
0	73	402
1	257	402
2	1858	402
0	9174	399
0	49	547
0	89	488
1	341	488
0	2117	481

Stop Event

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

Compiler

Compiled 235 to 74 computations (68.5% saved)

preprocess89.0ms (1.3%)

Memory: 0.1MiB live, 46.0MiB allocated; 6ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 490 to 166 computations (66.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.0s (30.1%)

explain174.0ms (2.6%)

preprocess151.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series4.0ms (0.1%)

simplify154.0ms (2.3%)

rewrite301.0ms (4.4%)

eval148.0ms (2.2%)

prune48.0ms (0.7%)

simplify0.0ms (0%)

series24.0ms (0.4%)

simplify153.0ms (2.3%)

rewrite256.0ms (3.8%)

eval114.0ms (1.7%)

prune28.0ms (0.4%)

simplify0.0ms (0%)

series10.0ms (0.2%)

simplify224.0ms (3.3%)

rewrite348.0ms (5.1%)

eval378.0ms (5.6%)

prune73.0ms (1.1%)

simplify0.0ms (0%)

series17.0ms (0.3%)

simplify152.0ms (2.2%)

rewrite143.0ms (2.1%)

eval306.0ms (4.5%)

prune55.0ms (0.8%)

regimes111.0ms (1.6%)

regimes33.0ms (0.5%)

regimes18.0ms (0.3%)

regimes37.0ms (0.5%)

regimes11.0ms (0.2%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch16.0ms (0.2%)

simplify43.0ms (0.6%)

derivations1.1s (16%)

preprocess89.0ms (1.3%)

end0.0ms (0%)

Profiling