Metrics for exp2 (problem 3.3.7)

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%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample3.7s (70%)

Memory

-24.4MiB live, 2 550.1MiB allocated; 1.2s collecting garbage

Samples

2.6s	5 742×	2	valid
354.0ms	2 381×	1	valid
7.0ms	133×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-exp: 1.8s (69.4% of total)

adjust: 487.0ms (18.6% of total)

ival-sub: 146.0ms (5.6% of total)

ival-add: 127.0ms (4.8% of total)

ival-neg: 33.0ms (1.3% of total)

exact: 6.0ms (0.2% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain235.0ms (4.5%)

Memory

11.8MiB live, 201.2MiB allocated; 17ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
131	-	-	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	-	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	-	-	`#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 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`	cancellation	131	0

Confusion

	Predicted +	Predicted -
+	131	0
-	0	125

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	0	0	125

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	125
1	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

149.0ms	372×	2	valid
21.0ms	138×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 54 to 25 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-exp: 102.0ms (70.4% of total)

adjust: 26.0ms (17.9% of total)

ival-sub: 7.0ms (4.8% of total)

ival-add: 6.0ms (4.1% of total)

ival-neg: 2.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess162.0ms (3.1%)

Memory

18.3MiB live, 147.9MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	40	25
2	113	25
3	482	24
4	2358	24
0	7	8
0	12	8
1	25	8
2	62	8
3	233	8
4	1074	6
5	6040	6
0	8973	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.7%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

series2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

7 → 24

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))

1.0ms

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))

1.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))

rewrite219.0ms (4.2%)

Memory

12.3MiB live, 155.6MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	312
0	97	304
1	545	289
0	4664	268

Stop Event

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

Counts

31 → 101

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Outputs
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.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)))) (-.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)))) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 8 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(-.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
#s(literal 2 binary64)
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(approx (- (exp x) 2) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(approx (- (exp x) 2) (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)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp 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)))
#s(approx x x)
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg 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)))
#s(approx (neg x) (neg.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (- (exp x) 2) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval59.0ms (1.1%)

Memory: -25.7MiB live, 18.4MiB allocated; 23ms collecting garbage
Compiler: Compiled 1 654 to 340 computations (79.4% saved)

prune2.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	3	102

Accuracy

100.0%

Counts

102 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
▶	99.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
▶	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Status

Accuracy

Program

▶

100.0%

#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))

▶

99.8%

#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))

▶

99.3%

#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 55 to 39 computations (29.1% saved)

series6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Counts

15 → 43

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/12 binary64)
#s(literal 1 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* 1/360 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (* x x) x (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360)
2.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (* x x) x (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360)
1.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (* x x) x (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360)

Time

Variable

Point

Expression

2.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (* x x) x (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360)

2.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (* x x) x (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360)

1.0ms

((+ (- (exp x) 2) (exp (neg x))) (* x x) x (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* 1/12 (* x x)) 1) x) x) (* (+ (* 1/12 (* x x)) 1) x) (+ (* 1/12 (* x x)) 1) 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) (+ (* 1/360 (* x x)) 1/12) 1/360)

rewrite186.0ms (3.5%)

Memory

33.5MiB live, 173.5MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	983
0	155	924
1	658	865
0	4968	820

Stop Event

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

Counts

58 → 424

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/12 binary64)
#s(literal 1 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (* (+ (* 1/12 (* x x)) 1) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (* (+ (* 1/12 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* 1/12 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* 1/360 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* 1/360 (pow x 4))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 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))
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 x x))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/12 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/1728 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/1728 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) (-.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 x x)))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fabs.f64 x)) (fabs.f64 x) (.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (neg.f64 x)) (neg.f64 x) (.f64 x x))
(fma.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (.f64 #s(literal 1/12 binary64) x) (pow.f64 x #s(literal 3 binary64)) (.f64 x x))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64) (.f64 x x))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) x (.f64 x x))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (.f64 x x) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) (*.f64 x x)))
(-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 x x))
(+.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/12 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/12 binary64)) x) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/12 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/12 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)
(.f64 (.f64 x x) (*.f64 x (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/12 binary64))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/1728 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/1728 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
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#s(approx (+ (* 1/360 (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (+ (* (+ (* 1/360 (* x x)) 1/12) (* x x)) 1) x) (*.f64 (neg.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 1/360 binary64))) (pow.f64 x #s(literal 5 binary64))))

eval89.0ms (1.7%)

Memory: -28.6MiB live, 92.5MiB allocated; 24ms collecting garbage
Compiler: Compiled 14 944 to 2 170 computations (85.5% saved)

prune16.0ms (0.3%)

Memory

-5.3MiB live, 39.8MiB allocated; 5ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	560	3	563
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	561	5	566

Accuracy

100.0%

Counts

566 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x)))
▶	100.0%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x) x) x))
▶	99.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
✓	100.0%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
✓	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 100 to 65 computations (35% saved)

series9.0ms (0.2%)

Memory

-34.0MiB live, 12.3MiB allocated; 2ms collecting garbage

Counts

15 → 42

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
(.f64 (fma.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) x x)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x) x) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x) x) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (* (* x x) 1/12) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) 1/12) x) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/360 (pow x 2))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/12) (* x x)) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (* x x) 1/12) (* x x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (* x x) 1/12) x) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (* (* (* x x) 1/12) x) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) #s(hole binary64 (* 1/360 (pow x 5))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* 1/360 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/12) (* x x)) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (* (* x x) 1/12) (* x x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) 1/12) x) x) x) (+ (* (* (* x x) 1/12) x) x) (* (* x x) 1/12) (* x x) x 1/12 (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) (* (+ (* (* x x) 1/360) 1/12) x) (+ (* (* x x) 1/360) 1/12) 1/360 (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) 1/12) (* x x)) (* x x)))
2.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) 1/12) x) x) x) (+ (* (* (* x x) 1/12) x) x) (* (* x x) 1/12) (* x x) x 1/12 (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) (* (+ (* (* x x) 1/360) 1/12) x) (+ (* (* x x) 1/360) 1/12) 1/360 (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) 1/12) (* x x)) (* x x)))
2.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) 1/12) x) x) x) (+ (* (* (* x x) 1/12) x) x) (* (* x x) 1/12) (* x x) x 1/12 (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) (* (+ (* (* x x) 1/360) 1/12) x) (+ (* (* x x) 1/360) 1/12) 1/360 (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) 1/12) (* x x)) (* x x)))

Time

Variable

Point

Expression

2.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) 1/12) x) x) x) (+ (* (* (* x x) 1/12) x) x) (* (* x x) 1/12) (* x x) x 1/12 (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) (* (+ (* (* x x) 1/360) 1/12) x) (+ (* (* x x) 1/360) 1/12) 1/360 (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) 1/12) (* x x)) (* x x)))

2.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) 1/12) x) x) x) (+ (* (* (* x x) 1/12) x) x) (* (* x x) 1/12) (* x x) x 1/12 (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) (* (+ (* (* x x) 1/360) 1/12) x) (+ (* (* x x) 1/360) 1/12) 1/360 (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) 1/12) (* x x)) (* x x)))

2.0ms

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) 1/12) x) x) x) (+ (* (* (* x x) 1/12) x) x) (* (* x x) 1/12) (* x x) x 1/12 (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) (* (+ (* (* x x) 1/360) 1/12) x) (+ (* (* x x) 1/360) 1/12) 1/360 (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) 1/12) (* x x)) (* x x)))

rewrite166.0ms (3.2%)

Memory

32.4MiB live, 177.1MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	976
0	159	907
1	700	850
0	5151	798

Stop Event

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

Counts

57 → 535

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
(.f64 (fma.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) x x)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x) x) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x) x) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (*.f64 x x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (* (* x x) 1/12) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) 1/12) x) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* x x) 1/12) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/360 (pow x 2))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (* (* (* x x) 1/12) (* x x)) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (* x x) 1/12) (* x x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (* x x) 1/12) x) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (* (* (* x x) 1/12) x) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) #s(hole binary64 (* 1/360 (pow x 6))))
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) #s(hole binary64 (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) #s(hole binary64 (* 1/360 (pow x 5))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) #s(hole binary64 (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* 1/360 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) #s(hole binary64 (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* 1/360 (pow x 2))))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(hole binary64 (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) 1/12) (* x x)) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (* (* x x) 1/12) (* x x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/12 binary64)) (.f64 x x)) (.f64 x x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/12 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x)
(.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/12 binary64))))
(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))))
(.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) (neg.f64 x)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (.f64 x x)) x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) x))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/12 binary64) (*.f64 x x))))
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(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64) (.f64 x x))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x x))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/12 binary64) x) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/12 binary64) x) (.f64 x x))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 x x))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(fma.f64 (.f64 #s(literal 1/12 binary64) x) (pow.f64 x #s(literal 3 binary64)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 #s(literal 1/12 binary64) x) (pow.f64 x #s(literal 3 binary64)) (.f64 x x))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (pow.f64 x #s(literal -2 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/12 binary64) x) x) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/12 binary64) x) x) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) x) (.f64 x x) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 (.f64 #s(literal 1/12 binary64) x) x) (.f64 x x) (.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (.f64 #s(literal 1/12 binary64) x) x)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (.f64 #s(literal 1/12 binary64) x) x)) (.f64 x x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) x))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 (neg.f64 x) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64))) x))
(-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 #s(literal 1/12 binary64) x) x)))
(-.f64 (.f64 x x) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)))) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) #s(literal 2 binary64)))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 x x))
(+.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/360 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64) #s(literal 1/12 binary64))) (.f64 x x)))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) (*.f64 x x))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (* (* (* x x) 1/12) x) x) x)
#s(approx (+ (* (* (* x x) 1/12) x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))
#s(approx (* (* x x) 1/12) (.f64 (.f64 #s(literal 1/12 binary64) x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) (*.f64 x x))
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x)
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) 1/360) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) (*.f64 x x))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (* (* (* x x) 1/12) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)))
#s(approx (+ (* (* (* x x) 1/12) x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))
#s(approx (* (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/360 binary64))))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/360 binary64)))
#s(approx (* (+ (* (* x x) 1/360) 1/12) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x))
#s(approx (+ (* (* x x) 1/360) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
#s(approx (+ (* (* x x) 1/360) 1/12) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) #s(literal 1/360 binary64)) x) x))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
#s(approx (* (+ (* (* (* x x) 1/12) x) x) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* (* (+ (* (* x x) 1/360) 1/12) x) (* x x)) x) (*.f64 (neg.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 1/360 binary64))) (pow.f64 x #s(literal 5 binary64))))

eval135.0ms (2.6%)

Memory: -22.4MiB live, 67.4MiB allocated; 11ms collecting garbage
Compiler: Compiled 18 035 to 2 293 computations (87.3% saved)

prune13.0ms (0.3%)

Memory

35.7MiB live, 35.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	679	0	679
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	679	5	684

Accuracy

100.0%

Counts

684 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x)))
✓	100.0%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x) x) x))
✓	99.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
✓	100.0%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
✓	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 227 to 103 computations (54.6% saved)

regimes5.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x) x) x))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x) x) x))

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes17.0ms (0.3%)

Memory

-48.7MiB live, 4.1MiB allocated; 10ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))

Calls

2 calls:

15.0ms	x
1.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x)))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.8%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))

#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.8%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.8%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.3%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify37.0ms (0.7%)

Memory

6.7MiB live, 52.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	119
1	46	119
2	86	119
3	284	119
4	1462	119

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x x) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

derivations137.0ms (2.6%)

Memory

-25.3MiB live, 117.9MiB allocated; 17ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 119 to 32 computations (73.1% saved)

preprocess63.0ms (1.2%)

Memory: 4.3MiB live, 50.0MiB allocated; 6ms collecting garbage
Remove: (abs x)
Compiler: Compiled 324 to 122 computations (62.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample3.7s (70%)

explain235.0ms (4.5%)

preprocess162.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series2.0ms (0%)

rewrite219.0ms (4.2%)

eval59.0ms (1.1%)

prune2.0ms (0%)

series6.0ms (0.1%)

rewrite186.0ms (3.5%)

eval89.0ms (1.7%)

prune16.0ms (0.3%)

series9.0ms (0.2%)

rewrite166.0ms (3.2%)

eval135.0ms (2.6%)

prune13.0ms (0.3%)

regimes5.0ms (0.1%)

regimes17.0ms (0.3%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify37.0ms (0.7%)

derivations137.0ms (2.6%)

preprocess63.0ms (1.2%)

end0.0ms (0%)

Profiling