Metrics for sqrtexp (problem 3.4.4)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample751.0ms (36.6%)

Memory

15.8MiB live, 270.1MiB allocated; 23ms collecting garbage

Samples

356.0ms	8 256×	0	valid
127.0ms	2 722×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 289.0ms

ival-expm1: 119.0ms (41.1% of total)

ival-sqrt: 65.0ms (22.5% of total)

ival-mult!: 55.0ms (19% of total)

ival-div!: 49.0ms (16.9% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain105.0ms (5.1%)

Memory

-8.5MiB live, 60.3MiB allocated; 1ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
182	0	-	1	(0.05457076580054989)	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
181	0	-	0	-	`(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))`
2	0	-	0	-	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
0	1	(-291.43652322616384)	0	-	`(exp.f64 (*.f64 #s(literal 2 binary64) x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	0	-	0	-	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(exp.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	181	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))`	cancellation	181	0
`/.f64`	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`	o/o	2	0
↳	`(exp.f64 (*.f64 #s(literal 2 binary64) x))`	overflow	2
↳	`(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))`	overflow	2
↳	`(exp.f64 x)`	overflow	2
↳	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	overflow	2
`exp.f64`	`(exp.f64 (*.f64 #s(literal 2 binary64) x))`	sensitivity	1	2

Confusion

	Predicted +	Predicted -
+	183	0
-	1	72

Precision

0.9945652173913043

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	183	0	0
-	1	2	70

Precision?

0.9838709677419355

Recall?

1.0

Freqs

test

number	freq
0	72
1	3
2	181

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 106 to 34 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-exp: 7.0ms (34.7% of total)

ival-expm1: 6.0ms (29.8% of total)

ival-sqrt: 3.0ms (14.9% of total)

ival-mult!: 2.0ms (9.9% of total)

ival-div!: 2.0ms (9.9% of total)

adjust: 0.0ms (0% of total)

preprocess195.0ms (9.5%)

Memory

4.4MiB live, 55.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	41
1	50	39
2	119	39
3	486	39
4	3083	18
0	10	12
0	17	12
1	33	12
2	69	12
3	215	12
4	1109	5
0	8655	5

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))

Compiler

Compiled 12 to 10 computations (16.7% 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

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.7%	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Compiler

Compiled 12 to 10 computations (16.7% saved)

series5.0ms (0.3%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Counts

10 → 32

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal 1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)

Outputs
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (exp (* 2 x)) #s(hole binary64 1))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#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 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (exp (* 2 x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp x) #s(hole binary64 (exp x)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))
1.0ms	x	@	inf	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))
1.0ms	x	@	0	((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))

Time

Variable

Point

Expression

2.0ms

-inf

((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))

1.0ms

inf

((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))

1.0ms

((sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- (exp (* 2 x)) 1) (exp (* 2 x)) (* 2 x) 2 x 1 (- (exp x) 1) (exp x))

rewrite174.0ms (8.5%)

Memory

0.7MiB live, 37.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	565
0	133	523
1	763	413
0	6995	351

Stop Event

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

Counts

42 → 140

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal 1 binary64)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (exp (* 2 x)) #s(hole binary64 1))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (* 2 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#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 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (exp (* 2 x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp x) #s(hole binary64 (exp x)))

Outputs
(*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (expm1.f64 x)))
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (expm1.f64 x)) (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (expm1.f64 x))) (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (expm1.f64 x)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (expm1.f64 x)) (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (expm1.f64 x)) (fma.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (expm1.f64 x)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (exp.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (expm1.f64 x)) (.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (expm1.f64 (.f64 #s(literal 4 binary64) x)) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 x)))
(/.f64 (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (.f64 #s(literal 4 binary64) x))) (expm1.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (neg.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 x))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 x)))
(neg.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (expm1.f64 x))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (expm1.f64 x)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal 4 binary64) x)))))
(/.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal 4 binary64) x))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64))
(expm1.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 4 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (.f64 #s(literal 4 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal 4 binary64) x)))))
(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(+.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (-.f64 (sinh.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) (exp.f64 x))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (cosh.f64 (.f64 #s(literal -2 binary64) x))) (.f64 (sinh.f64 (.f64 x #s(literal 2 binary64))) (sinh.f64 (.f64 x #s(literal 2 binary64))))) (-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (sinh.f64 (.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (cosh.f64 (.f64 #s(literal -2 binary64) x)) (-.f64 (.f64 (sinh.f64 (.f64 x #s(literal 2 binary64))) (sinh.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (sinh.f64 (.f64 x #s(literal 2 binary64)))))))
(fma.f64 (cosh.f64 x) (exp.f64 x) (*.f64 (sinh.f64 x) (exp.f64 x)))
(fma.f64 (exp.f64 x) (cosh.f64 x) (*.f64 (exp.f64 x) (sinh.f64 x)))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) (cosh.f64 x)) (cosh.f64 (.f64 #s(literal -2 binary64) x)))
(exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(exp.f64 (*.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 (cosh.f64 x) (exp.f64 x)) (.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (.f64 (exp.f64 x) (cosh.f64 x)) (.f64 (exp.f64 x) (sinh.f64 x)))
(+.f64 (sinh.f64 (.f64 x #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal -2 binary64) x)))
(+.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (sinh.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) 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))))
(/.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))
(+.f64 x x)
#s(literal 2 binary64)
x
#s(literal 1 binary64)
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.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 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)))))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 7/192 binary64) x #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp (* 2 x)) 1) (*.f64 x #s(literal 2 binary64)))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (exp (* 2 x)) #s(literal 1 binary64))
#s(approx (exp (* 2 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
#s(approx (exp (* 2 x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (* 2 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (* 2 x) (*.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#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 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (- (exp (* 2 x)) 1) (expm1.f64 (*.f64 x #s(literal 2 binary64))))
#s(approx (exp (* 2 x)) (pow.f64 (exp.f64 #s(literal 2 binary64)) x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))

eval12.0ms (0.6%)

Memory: 2.1MiB live, 9.5MiB allocated; 1ms collecting garbage
Compiler: Compiled 2 346 to 596 computations (74.6% saved)

prune6.0ms (0.3%)

Memory

-0.0MiB live, 7.8MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	134	9	143
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	9	144

Accuracy

100.0%

Counts

144 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.0%	(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (expm1.f64 x)))
▶	99.2%	(sqrt.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 x)))
▶	100.0%	(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
	73.0%	(sqrt.f64 (+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64))))
	71.1%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
▶	72.3%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
	70.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
▶	75.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
▶	72.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 254 to 208 computations (18.1% saved)

series27.0ms (1.3%)

Memory

-11.8MiB live, 4.4MiB allocated; 2ms collecting garbage

Counts

25 → 72

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
x
#s(literal -1 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64))
#s(literal 3/16 binary64)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 x))
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(expm1.f64 x)

Outputs
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#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 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (sqrt 2)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (/ 1/2 (sqrt 2))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (+ 1/2 (* 3/16 x))))
#s(approx (sqrt (/ (- (exp (* x 2)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* x 2)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* x 2)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* x 2)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (* x 2)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* x 2)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* x 2)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* x 2)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (* x 2)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (* x 2)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (* x 2)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (* x 2)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (sqrt (+ 1 (exp x)))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* 3/16 (/ (pow x 2) (sqrt 2)))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (/ 1/2 (* x (sqrt 2))) (+ (* 3/16 (/ 1 (sqrt 2))) (/ (sqrt 2) (pow x 2)))))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (* 3/16 (/ x (sqrt 2)))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (* x (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (* 3/16 x)))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (* x (+ 3/16 (* 1/2 (/ 1 x))))))
#s(approx (sqrt (/ (- (exp (* x 2)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* x 2)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- (exp (* x 2)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
22.0ms	x	@	-inf	((sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1/2 1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2) 3/16 (sqrt 2) (sqrt (/ (- (exp (* x 2)) 1) (- (exp x) 1))) (/ (- (exp (* x 2)) 1) (- (exp x) 1)) (- (exp (* x 2)) 1) (* x 2) (- (exp x) 1))
2.0ms	x	@	inf	((sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1/2 1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2) 3/16 (sqrt 2) (sqrt (/ (- (exp (* x 2)) 1) (- (exp x) 1))) (/ (- (exp (* x 2)) 1) (- (exp x) 1)) (- (exp (* x 2)) 1) (* x 2) (- (exp x) 1))
2.0ms	x	@	0	((sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1/2 1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2) 3/16 (sqrt 2) (sqrt (/ (- (exp (* x 2)) 1) (- (exp x) 1))) (/ (- (exp (* x 2)) 1) (- (exp x) 1)) (- (exp (* x 2)) 1) (* x 2) (- (exp x) 1))

Time

Variable

Point

Expression

22.0ms

-inf

((sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1/2 1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2) 3/16 (sqrt 2) (sqrt (/ (- (exp (* x 2)) 1) (- (exp x) 1))) (/ (- (exp (* x 2)) 1) (- (exp x) 1)) (- (exp (* x 2)) 1) (* x 2) (- (exp x) 1))

2.0ms

inf

((sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1/2 1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2) 3/16 (sqrt 2) (sqrt (/ (- (exp (* x 2)) 1) (- (exp x) 1))) (/ (- (exp (* x 2)) 1) (- (exp x) 1)) (- (exp (* x 2)) 1) (* x 2) (- (exp x) 1))

2.0ms

((sqrt (- (exp x) -1)) (- (exp x) -1) (exp x) x -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* 1/2 x) 1) 1/2 1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2) 3/16 (sqrt 2) (sqrt (/ (- (exp (* x 2)) 1) (- (exp x) 1))) (/ (- (exp (* x 2)) 1) (- (exp x) 1)) (- (exp (* x 2)) 1) (* x 2) (- (exp x) 1))

rewrite133.0ms (6.5%)

Memory

4.6MiB live, 49.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	1413
0	251	1141
1	1245	1074
0	8367	1030

Stop Event

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

Counts

97 → 340

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
x
#s(literal -1 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64))
#s(literal 3/16 binary64)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 x))
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(expm1.f64 x)
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#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 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (sqrt 2)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (/ 1/2 (sqrt 2))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (+ 1/2 (* 3/16 x))))
#s(approx (sqrt (/ (- (exp (* x 2)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* x 2)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* x 2)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* x 2)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (* x 2)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* x 2)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* x 2)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* x 2)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (* x 2)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (* x 2)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (* x 2)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (* x 2)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (sqrt (- (exp x) -1)) #s(hole binary64 (sqrt (+ 1 (exp x)))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* 3/16 (/ (pow x 2) (sqrt 2)))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (/ 1/2 (* x (sqrt 2))) (+ (* 3/16 (/ 1 (sqrt 2))) (/ (sqrt 2) (pow x 2)))))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (* 3/16 (/ x (sqrt 2)))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (* x (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (* 3/16 x)))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (* x (+ 3/16 (* 1/2 (/ 1 x))))))
#s(approx (sqrt (/ (- (exp (* x 2)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* x 2)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- (exp (* x 2)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2)))))))

Outputs
(*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sinh.f64 (acosh.f64 (exp.f64 x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (*.f64 #s(literal -1 binary64) (exp.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sinh.f64 (acosh.f64 (exp.f64 x))) (sqrt.f64 (expm1.f64 x)))
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x))) (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (fma.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))))
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(+.f64 (*.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/16 binary64) x))
#s(literal 3/16 binary64)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
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(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(cosh.f64 (asinh.f64 #s(literal -1 binary64)))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
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(pow.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
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(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
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(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 1/2 binary64)))
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(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))
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(+.f64 #s(literal 1 binary64) (exp.f64 x))
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(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
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(-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.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 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))
(+.f64 x x)
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(expm1.f64 x)
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(-.f64 (exp.f64 x) #s(literal 1 binary64))
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#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
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#s(approx x x)
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#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(literal 2 binary64))
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#s(approx (- (exp (* x 2)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (* x 2)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))
#s(approx (- (exp (* x 2)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (* x 2)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (* x 2) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) (*.f64 x x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x))) (*.f64 x x)))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/16 binary64)))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
#s(approx (+ (* 3/16 x) 1/2) (*.f64 #s(literal 3/16 binary64) x))
#s(approx (+ (* 3/16 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (- (exp (* x 2)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 3/16 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (neg.f64 x))) (.f64 x x)))

eval35.0ms (1.7%)

Memory: 1.2MiB live, 26.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 8 174 to 1 298 computations (84.1% saved)

prune12.0ms (0.6%)

Memory

0.9MiB live, 16.6MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	305	10	315
Fresh	2	2	4
Picked	1	4	5
Done	0	0	0
Total	308	16	324

Accuracy

100.0%

Counts

324 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
	72.5%	(sqrt.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
	73.4%	(sqrt.f64 (-.f64 (+.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal -1 binary64)))
✓	100.0%	(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
	71.1%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
✓	72.3%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
▶	70.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
▶	4.0%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
	5.2%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
✓	75.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
	72.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/16 binary64) x))) #s(literal 2 binary64)) x (sqrt.f64 #s(literal 2 binary64))))
✓	72.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
	72.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 #s(approx (+ (* 3/16 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) x)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
	71.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 #s(approx (+ (* 3/16 x) 1/2) (*.f64 #s(literal 3/16 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
▶	72.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 2 binary64))))
▶	4.4%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 635 to 479 computations (24.6% saved)

series10.0ms (0.5%)

Memory

-2.6MiB live, 6.5MiB allocated; 1ms collecting garbage

Counts

28 → 71

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
x
(expm1.f64 x)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))
(-.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(*.f64 x x)
#s(literal 1/2 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal 3/16 binary64) (.f64 x x))
#s(literal 3/16 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64))

Outputs
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- x -2) #s(hole binary64 2))
#s(approx (- x -2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (sqrt 2)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (* 3/16 (* x x)) (sqrt 2)) #s(hole binary64 (* 3/16 (/ (pow x 2) (sqrt 2)))))
#s(approx (* 3/16 (* x x)) #s(hole binary64 (* 3/16 (pow x 2))))
#s(approx (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) #s(hole binary64 (* 1/2 (/ x (sqrt 2)))))
#s(approx (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) #s(hole binary64 (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (/ 1/2 (sqrt 2))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (+ 1/2 (* 3/16 x))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- x -2) #s(hole binary64 x))
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* 3/16 (/ (pow x 2) (sqrt 2)))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (/ 1/2 (* x (sqrt 2))) (+ (* 3/16 (/ 1 (sqrt 2))) (/ (sqrt 2) (pow x 2)))))))
#s(approx (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) #s(hole binary64 (* 3/16 (/ (pow x 2) (sqrt 2)))))
#s(approx (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) #s(hole binary64 (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (* 3/16 (/ x (sqrt 2)))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (* x (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (* 3/16 x)))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (* x (+ 3/16 (* 1/2 (/ 1 x))))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (neg (* -2 x))) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (- (exp x) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (- (exp (+ x x)) 1) (+ x x) x (- (exp x) 1) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) -2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* (* x x) 1/2) x) (* x x) 1/2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (* 3/16 (* x x)) (sqrt 2)) (* 3/16 (* x x)) 3/16 (sqrt 2) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2))
3.0ms	x	@	-inf	((sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (- (exp (+ x x)) 1) (+ x x) x (- (exp x) 1) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) -2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* (* x x) 1/2) x) (* x x) 1/2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (* 3/16 (* x x)) (sqrt 2)) (* 3/16 (* x x)) 3/16 (sqrt 2) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2))
2.0ms	x	@	0	((sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (- (exp (+ x x)) 1) (+ x x) x (- (exp x) 1) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) -2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* (* x x) 1/2) x) (* x x) 1/2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (* 3/16 (* x x)) (sqrt 2)) (* 3/16 (* x x)) 3/16 (sqrt 2) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2))

Time

Variable

Point

Expression

4.0ms

inf

((sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (- (exp (+ x x)) 1) (+ x x) x (- (exp x) 1) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) -2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* (* x x) 1/2) x) (* x x) 1/2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (* 3/16 (* x x)) (sqrt 2)) (* 3/16 (* x x)) 3/16 (sqrt 2) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2))

3.0ms

-inf

((sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (- (exp (+ x x)) 1) (+ x x) x (- (exp x) 1) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) -2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* (* x x) 1/2) x) (* x x) 1/2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (* 3/16 (* x x)) (sqrt 2)) (* 3/16 (* x x)) 3/16 (sqrt 2) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2))

2.0ms

((sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (- (exp (+ x x)) 1) (+ x x) x (- (exp x) 1) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) -2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+ (* (+ (* 1/2 x) 1) x) 2) (+ (* (* x x) 1/2) x) (* x x) 1/2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (* 3/16 (* x x)) (sqrt 2)) (* 3/16 (* x x)) 3/16 (sqrt 2) 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2))

rewrite137.0ms (6.7%)

Memory

3.4MiB live, 48.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	1524
0	267	1343
1	1306	1204
0	8328	1136

Stop Event

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

Counts

99 → 335

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
x
(expm1.f64 x)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))
(-.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(*.f64 x x)
#s(literal 1/2 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal 3/16 binary64) (.f64 x x))
#s(literal 3/16 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- x -2) #s(hole binary64 2))
#s(approx (- x -2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (sqrt 2)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (* 3/16 (* x x)) (sqrt 2)) #s(hole binary64 (* 3/16 (/ (pow x 2) (sqrt 2)))))
#s(approx (* 3/16 (* x x)) #s(hole binary64 (* 3/16 (pow x 2))))
#s(approx (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) #s(hole binary64 (* 1/2 (/ x (sqrt 2)))))
#s(approx (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) #s(hole binary64 (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (/ 1/2 (sqrt 2))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (+ 1/2 (* 3/16 x))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- x -2) #s(hole binary64 x))
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* 3/16 (/ (pow x 2) (sqrt 2)))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (/ 1/2 (* x (sqrt 2))) (+ (* 3/16 (/ 1 (sqrt 2))) (/ (sqrt 2) (pow x 2)))))))
#s(approx (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) #s(hole binary64 (* 3/16 (/ (pow x 2) (sqrt 2)))))
#s(approx (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) #s(hole binary64 (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (* 3/16 (/ x (sqrt 2)))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (* x (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (* 3/16 x)))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (* x (+ 3/16 (* 1/2 (/ 1 x))))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (neg (* -2 x))) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (- (exp x) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2)))))))

Outputs
(*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sinh.f64 (acosh.f64 (exp.f64 x)))) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sinh.f64 (acosh.f64 (exp.f64 x))) (sqrt.f64 (expm1.f64 x)))
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x))) (.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (fma.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x)))
(neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))))))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))))))
(-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (neg.f64 x) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 x x (*.f64 (neg.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 (fma.f64 x x (*.f64 (neg.f64 x) x)))))
(/.f64 (fma.f64 x x (*.f64 (neg.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 (fma.f64 x x (*.f64 (neg.f64 x) x))))
(neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
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(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 9/256 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/16 binary64) x)))
(/.f64 (fma.f64 #s(literal 27/4096 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 9/256 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 27/4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/256 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/16 binary64) x)))))
(fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 3/16 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (fma.f64 #s(literal 3/16 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 3/16 binary64) x #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/16 binary64) x))) (/.f64 (.f64 #s(literal 9/256 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 3/16 binary64) x))))
(-.f64 (*.f64 #s(literal 3/16 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 3/16 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/16 binary64) x))
(+.f64 (/.f64 (.f64 #s(literal 27/4096 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9/256 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 9/256 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/256 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 3/16 binary64) x))))) (/.f64 (.f64 #s(literal 27/4096 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/256 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/16 binary64) x))))))
(+.f64 (*.f64 #s(literal 3/16 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/16 binary64) x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 7/96 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 7/96 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- x -2) #s(literal 2 binary64))
#s(approx (- x -2) (-.f64 x #s(literal -2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (-.f64 x #s(literal -2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* (* x x) 1/2) x) x)
#s(approx (+ (* (* x x) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (fma.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* 3/16 (* x x)) (sqrt 2)) (/.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 3/16 (* x x)) (.f64 (.f64 x x) #s(literal 3/16 binary64)))
#s(approx (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (/.f64 (*.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* 3/16 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 3/16 x) 1/2) (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (- x -2) x)
#s(approx (- x -2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 x (.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 x (*.f64 #s(literal 1/2 binary64) x) x))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) (*.f64 x x)))
#s(approx (+ (* (* x x) 1/2) x) (.f64 x (.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (* x x) 1/2) x) (fma.f64 x (*.f64 #s(literal 1/2 binary64) x) x))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x))) (*.f64 x x)))
#s(approx (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (/.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x)))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/16 binary64)))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
#s(approx (+ (* 3/16 x) 1/2) (*.f64 #s(literal 3/16 binary64) x))
#s(approx (+ (* 3/16 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 3/16 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) (neg.f64 x))) (.f64 x x)))

eval39.0ms (1.9%)

Memory: -0.9MiB live, 31.9MiB allocated; 2ms collecting garbage
Compiler: Compiled 11 608 to 1 648 computations (85.8% saved)

prune13.0ms (0.7%)

Memory

2.1MiB live, 19.5MiB allocated; 1ms collecting garbage

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	386	4	390
Fresh	2	5	7
Picked	1	4	5
Done	0	4	4
Total	389	17	406

Accuracy

100.0%

Counts

406 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
	72.5%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
▶	73.4%	(sqrt.f64 (-.f64 (+.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal -1 binary64)))
✓	100.0%	(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
▶	71.1%	(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
✓	72.3%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
✓	70.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
▶	2.6%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (- x -2) x)))
✓	4.0%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
	5.2%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
✓	75.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
▶	72.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/16 binary64) x))) #s(literal 2 binary64)) x (sqrt.f64 #s(literal 2 binary64))))
✓	72.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
	72.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 #s(approx (+ (* 3/16 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) x)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
▶	71.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 #s(approx (+ (* 3/16 x) 1/2) (*.f64 #s(literal 3/16 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
✓	72.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 2 binary64))))
	4.4%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/16 binary64))))

Compiler

Compiled 593 to 445 computations (25% saved)

series16.0ms (0.8%)

Memory

-0.1MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

31 → 106

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (+.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal -1 binary64)))
(-.f64 (+.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal -1 binary64))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(cosh.f64 x)
x
(sinh.f64 x)
#s(literal -1 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (- x -2) x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (- x -2) x))
#s(approx (- x -2) x)
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
(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 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 #s(approx (+ (* 3/16 x) 1/2) (*.f64 #s(literal 3/16 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(approx (+ (* 3/16 x) 1/2) (*.f64 #s(literal 3/16 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* 3/16 x) 1/2) (*.f64 #s(literal 3/16 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* 3/16 x) 1/2) (*.f64 #s(literal 3/16 binary64) x))
(*.f64 #s(literal 3/16 binary64) x)
#s(literal 3/16 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/16 binary64) x))) #s(literal 2 binary64)) x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/16 binary64) x))) #s(literal 2 binary64)) x (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/16 binary64) x))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/16 binary64) x)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/16 binary64) x))

Outputs
#s(approx (sqrt (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 2))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 1))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 x)))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- x -2) #s(hole binary64 2))
#s(approx (- x -2) #s(hole binary64 (+ 2 x)))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (sqrt 2)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (/ 1/2 (sqrt 2))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (+ 1/2 (* 3/16 x))))
#s(approx (* 3/16 x) #s(hole binary64 (* 3/16 x)))
#s(approx (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) #s(hole binary64 (sqrt 2)))
#s(approx (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* 1/4 (* x (sqrt 2))))))
#s(approx (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 3/32 (* x (sqrt 2))) (* 1/4 (sqrt 2)))))))
#s(approx (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) #s(hole binary64 (+ (* 3/32 (* x (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) #s(hole binary64 (* 1/2 (sqrt 2))))
#s(approx (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) #s(hole binary64 (+ (* 3/16 (* x (sqrt 2))) (* 1/2 (sqrt 2)))))
#s(approx (* (sqrt 2) (* 3/16 x)) #s(hole binary64 (* 3/16 (* x (sqrt 2)))))
#s(approx (sqrt (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (sqrt (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- x -2) #s(hole binary64 x))
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3)))))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* 3/16 (/ (pow x 2) (sqrt 2)))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (/ 1/2 (* x (sqrt 2))) (+ (* 3/16 (/ 1 (sqrt 2))) (/ (sqrt 2) (pow x 2)))))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (* 3/16 (/ x (sqrt 2)))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (* x (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (* 3/16 x)))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (* x (+ 3/16 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) #s(hole binary64 (* 3/32 (* (pow x 2) (sqrt 2)))))
#s(approx (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) x))))))
#s(approx (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* 3/32 (sqrt 2)) (+ (* 1/4 (/ (sqrt 2) x)) (/ (sqrt 2) (pow x 2)))))))
#s(approx (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) #s(hole binary64 (* 3/32 (* x (sqrt 2)))))
#s(approx (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) #s(hole binary64 (* x (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) x))))))
#s(approx (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) #s(hole binary64 (* 3/16 (* x (sqrt 2)))))
#s(approx (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) #s(hole binary64 (* x (+ (* 3/16 (sqrt 2)) (* 1/2 (/ (sqrt 2) x))))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (neg (* -2 x))) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (- (exp x) 1))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/6)))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2)))))))
#s(approx (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sqrt 2) x)) (* -1/4 (sqrt 2))) x)) (* 3/32 (sqrt 2))))))
#s(approx (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) #s(hole binary64 (* -1 (* x (+ (* -1/4 (/ (sqrt 2) x)) (* -3/32 (sqrt 2)))))))
#s(approx (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (sqrt 2) x)) (* -3/16 (sqrt 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((sqrt (- (+ (cosh x) (sinh x)) -1)) (- (+ (cosh x) (sinh x)) -1) (+ (cosh x) (sinh x)) (cosh x) x (sinh x) -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1/2 1 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2) (* 3/16 x) 3/16 (sqrt 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) (* (sqrt 2) (* 3/16 x)))
5.0ms	x	@	-inf	((sqrt (- (+ (cosh x) (sinh x)) -1)) (- (+ (cosh x) (sinh x)) -1) (+ (cosh x) (sinh x)) (cosh x) x (sinh x) -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1/2 1 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2) (* 3/16 x) 3/16 (sqrt 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) (* (sqrt 2) (* 3/16 x)))
3.0ms	x	@	0	((sqrt (- (+ (cosh x) (sinh x)) -1)) (- (+ (cosh x) (sinh x)) -1) (+ (cosh x) (sinh x)) (cosh x) x (sinh x) -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1/2 1 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2) (* 3/16 x) 3/16 (sqrt 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) (* (sqrt 2) (* 3/16 x)))

Time

Variable

Point

Expression

7.0ms

inf

((sqrt (- (+ (cosh x) (sinh x)) -1)) (- (+ (cosh x) (sinh x)) -1) (+ (cosh x) (sinh x)) (cosh x) x (sinh x) -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1/2 1 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2) (* 3/16 x) 3/16 (sqrt 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) (* (sqrt 2) (* 3/16 x)))

5.0ms

-inf

((sqrt (- (+ (cosh x) (sinh x)) -1)) (- (+ (cosh x) (sinh x)) -1) (+ (cosh x) (sinh x)) (cosh x) x (sinh x) -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1/2 1 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2) (* 3/16 x) 3/16 (sqrt 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) (* (sqrt 2) (* 3/16 x)))

3.0ms

((sqrt (- (+ (cosh x) (sinh x)) -1)) (- (+ (cosh x) (sinh x)) -1) (+ (cosh x) (sinh x)) (cosh x) x (sinh x) -1 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (- x -2) (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1/2 1 2 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (+ (* 3/16 x) 1/2) (* 3/16 x) 3/16 (sqrt 2) (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) (* (sqrt 2) (* 3/16 x)))

rewrite151.0ms (7.4%)

Memory

-9.0MiB live, 52.2MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	371	2508
0	403	2233
1	2065	2086
0	8506	1876

Stop Event

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

Counts

137 → 350

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (+.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal -1 binary64)))
(-.f64 (+.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal -1 binary64))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(cosh.f64 x)
x
(sinh.f64 x)
#s(literal -1 binary64)
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (- x -2) x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (- x -2) x))
#s(approx (- x -2) x)
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
(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 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 #s(approx (+ (* 3/16 x) 1/2) (*.f64 #s(literal 3/16 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(approx (+ (* 3/16 x) 1/2) (*.f64 #s(literal 3/16 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* 3/16 x) 1/2) (*.f64 #s(literal 3/16 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* 3/16 x) 1/2) (*.f64 #s(literal 3/16 binary64) x))
(*.f64 #s(literal 3/16 binary64) x)
#s(literal 3/16 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/16 binary64) x))) #s(literal 2 binary64)) x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/16 binary64) x))) #s(literal 2 binary64)) x (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/16 binary64) x))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/16 binary64) x)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/16 binary64) x))
#s(approx (sqrt (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 2))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 1))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 x)))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- x -2) #s(hole binary64 2))
#s(approx (- x -2) #s(hole binary64 (+ 2 x)))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt 2)))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 1/2 (/ (* x (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (+ (sqrt 2) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1/6 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 2))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (sqrt 2)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (/ 1/2 (sqrt 2))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (+ (* 3/16 (/ x (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (+ 1/2 (* 3/16 x))))
#s(approx (* 3/16 x) #s(hole binary64 (* 3/16 x)))
#s(approx (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) #s(hole binary64 (sqrt 2)))
#s(approx (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* 1/4 (* x (sqrt 2))))))
#s(approx (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) #s(hole binary64 (+ (sqrt 2) (* x (+ (* 3/32 (* x (sqrt 2))) (* 1/4 (sqrt 2)))))))
#s(approx (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) #s(hole binary64 (* 1/4 (sqrt 2))))
#s(approx (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) #s(hole binary64 (+ (* 3/32 (* x (sqrt 2))) (* 1/4 (sqrt 2)))))
#s(approx (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) #s(hole binary64 (* 1/2 (sqrt 2))))
#s(approx (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) #s(hole binary64 (+ (* 3/16 (* x (sqrt 2))) (* 1/2 (sqrt 2)))))
#s(approx (* (sqrt 2) (* 3/16 x)) #s(hole binary64 (* 3/16 (* x (sqrt 2)))))
#s(approx (sqrt (- (+ (cosh x) (sinh x)) -1)) #s(hole binary64 (sqrt (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))))
#s(approx (- (+ (cosh x) (sinh x)) -1) #s(hole binary64 (+ 1 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))))))
#s(approx (+ (cosh x) (sinh x)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (- x -2) #s(hole binary64 x))
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow x 3)))))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* 3/16 (/ (pow x 2) (sqrt 2)))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (/ 1/2 (* x (sqrt 2))) (+ (* 3/16 (/ 1 (sqrt 2))) (/ (sqrt 2) (pow x 2)))))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (* 3/16 (/ x (sqrt 2)))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) #s(hole binary64 (* x (+ (* 3/16 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (* x (sqrt 2))))))))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (* 3/16 x)))
#s(approx (+ (* 3/16 x) 1/2) #s(hole binary64 (* x (+ 3/16 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) #s(hole binary64 (* 3/32 (* (pow x 2) (sqrt 2)))))
#s(approx (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) x))))))
#s(approx (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* 3/32 (sqrt 2)) (+ (* 1/4 (/ (sqrt 2) x)) (/ (sqrt 2) (pow x 2)))))))
#s(approx (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) #s(hole binary64 (* 3/32 (* x (sqrt 2)))))
#s(approx (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) #s(hole binary64 (* x (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) x))))))
#s(approx (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) #s(hole binary64 (* 3/16 (* x (sqrt 2)))))
#s(approx (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) #s(hole binary64 (* x (+ (* 3/16 (sqrt 2)) (* 1/2 (/ (sqrt 2) x))))))
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) #s(hole binary64 (sqrt (/ (- (exp (neg (* -2 x))) 1) (- (exp x) 1)))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (- (exp x) 1))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2)))) x)) 1/6)))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (sqrt 2) x)) (* 1/2 (/ 1 (sqrt 2)))) x)) (* 3/16 (/ 1 (sqrt 2)))))))
#s(approx (+ (* (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) x) (sqrt 2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sqrt 2) x)) (* -1/4 (sqrt 2))) x)) (* 3/32 (sqrt 2))))))
#s(approx (/ (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) 2) #s(hole binary64 (* -1 (* x (+ (* -1/4 (/ (sqrt 2) x)) (* -3/32 (sqrt 2)))))))
#s(approx (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (sqrt 2) x)) (* -3/16 (sqrt 2)))))))

Outputs
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (sinh.f64 (acosh.f64 (exp.f64 x))) (sqrt.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64))))
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (-.f64 (sinh.f64 x) #s(literal -1 binary64)) (-.f64 (sinh.f64 x) #s(literal -1 binary64))) (.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (neg.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 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (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 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(exp.f64 x)
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (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 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (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 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
x
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
#s(literal -1 binary64)
(pow.f64 (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(approx (- x -2) x))) #s(literal 1 binary64))
(pow.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(approx (- x -2) x)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(approx (- x -2) x)))
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(approx (- x -2) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(approx (- x -2) x))
#s(approx (- x -2) x)
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#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 7/96 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- x -2) #s(literal 2 binary64))
#s(approx (- x -2) (+.f64 #s(literal 2 binary64) x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 7/96 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(literal 2 binary64))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (+.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) 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 2 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (fma.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* 3/16 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 3/16 x) 1/2) (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)))
#s(approx (* 3/16 x) (*.f64 #s(literal 3/16 binary64) x))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (fma.f64 (fma.f64 #s(literal 3/32 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (fma.f64 #s(literal 3/32 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
#s(approx (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/16 binary64)) x (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
#s(approx (* (sqrt 2) (* 3/16 x)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/16 binary64)) x))
#s(approx (sqrt (- (+ (cosh x) (sinh x)) -1)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64))))
#s(approx (- (+ (cosh x) (sinh x)) -1) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)))
#s(approx (+ (cosh x) (sinh x)) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))
#s(approx (cosh x) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (sinh x) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (sinh.f64 (acosh.f64 (exp.f64 x))) (sqrt.f64 (expm1.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))
#s(approx (- x -2) x)
#s(approx (- x -2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (sinh.f64 (acosh.f64 (exp.f64 x))) (sqrt.f64 (expm1.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (*.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x))) (*.f64 x x)))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/16 binary64)))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x))
#s(approx (+ (* 3/16 x) 1/2) (*.f64 #s(literal 3/16 binary64) x))
#s(approx (+ (* 3/16 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3/16 binary64)) x))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (.f64 #s(literal 3/32 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (.f64 #s(literal 3/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (fma.f64 #s(literal 3/32 binary64) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)))) (*.f64 x x)))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (.f64 #s(literal 3/32 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (.f64 #s(literal 3/32 binary64) (sqrt.f64 #s(literal 2 binary64)))) x))
#s(approx (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/16 binary64)) x))
#s(approx (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/16 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x)) x))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 (sinh.f64 (acosh.f64 (exp.f64 x))) (sqrt.f64 (expm1.f64 x))))
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 2) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))) x) #s(literal -1 binary64) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x)))
#s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (fma.f64 #s(literal 3/32 binary64) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) x))) (.f64 x x)))
#s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (neg.f64 (.f64 (fma.f64 #s(literal -3/32 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) x)))
#s(approx (+ (* 1/2 (sqrt 2)) (* (sqrt 2) (* 3/16 x))) (neg.f64 (.f64 (fma.f64 #s(literal -3/16 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) x)))

eval46.0ms (2.2%)

Memory: 4.9MiB live, 34.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 13 247 to 1 726 computations (87% saved)

prune16.0ms (0.8%)

Memory

-0.8MiB live, 22.7MiB allocated; 1ms collecting garbage

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	418	5	423
Fresh	1	3	4
Picked	2	3	5
Done	0	8	8
Total	421	19	440

Accuracy

100.0%

Counts

440 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
	72.5%	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
	100.0%	(sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))
✓	100.0%	(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
✓	71.1%	(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
	69.9%	(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x #s(literal 2 binary64))))
✓	72.3%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
✓	70.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
✓	2.6%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (- x -2) x)))
✓	4.0%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
	5.2%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
✓	75.5%	(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
✓	72.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/16 binary64) x))) #s(literal 2 binary64)) x (sqrt.f64 #s(literal 2 binary64))))
✓	72.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
	72.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 #s(approx (+ (* 3/16 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) x)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
	72.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (fma.f64 #s(literal 3/32 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) x (sqrt.f64 #s(literal 2 binary64))))
	71.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (.f64 #s(literal 3/32 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) x (sqrt.f64 #s(literal 2 binary64))))
✓	72.1%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 2 binary64))))
	4.4%	#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (.f64 #s(literal 3/32 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 1 064 to 495 computations (53.5% saved)

regimes19.0ms (0.9%)

Memory

-5.0MiB live, 11.3MiB allocated; 0ms collecting garbage

Counts

29 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (- x -2) x)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (.f64 #s(literal 3/32 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/16 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (.f64 #s(literal 3/32 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 #s(approx (+ (* 3/16 x) 1/2) (*.f64 #s(literal 3/16 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (fma.f64 #s(literal 3/32 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 #s(approx (+ (* 3/16 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) x)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/16 binary64) x))) #s(literal 2 binary64)) x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
(sqrt.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))))
(sqrt.f64 (+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64))))
(sqrt.f64 (-.f64 (+.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal -1 binary64)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (expm1.f64 x)))

Outputs
(sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))

Calls

3 calls:

7.0ms

5.0ms

(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

5.0ms

(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

regimes13.0ms (0.6%)

Memory

1.2MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

20 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (- x -2) x)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (.f64 #s(literal 3/32 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/16 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (.f64 #s(literal 3/32 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 #s(approx (+ (* 3/16 x) 1/2) (*.f64 #s(literal 3/16 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (fma.f64 #s(literal 3/32 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 #s(approx (+ (* 3/16 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) x)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/16 binary64) x))) #s(literal 2 binary64)) x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))

Outputs
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))

Calls

3 calls:

5.0ms

4.0ms

(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

4.0ms

(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Results

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

regimes13.0ms (0.6%)

Memory

1.0MiB live, 8.6MiB allocated; 0ms collecting garbage

Accuracy

Total -47.3b remaining (-302.3%)

Threshold costs -47.3b (-302.3%)

Counts

19 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (- x -2) x)))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (.f64 #s(literal 3/32 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (.f64 (/.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/16 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* (/ (+ (* 3/16 x) 1/2) (sqrt 2)) x) (sqrt 2)) (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (.f64 #s(literal 3/32 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 #s(approx (+ (* 3/16 x) 1/2) (*.f64 #s(literal 3/16 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(approx (/ (+ (* 3/16 x) 1/2) (sqrt 2)) (fma.f64 #s(literal 3/32 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 #s(approx (+ (* 3/16 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/16 binary64)) x)) (sqrt.f64 #s(literal 2 binary64))) x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 3/16 binary64) x))) #s(literal 2 binary64)) x (sqrt.f64 #s(literal 2 binary64))))

Outputs
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))

Calls

3 calls:

5.0ms

4.0ms

(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

4.0ms

(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
75.5%	1	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
75.5%	1	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))))`
75.5%	1	`x`

Compiler

Compiled 24 to 20 computations (16.7% saved)

simplify35.0ms (1.7%)

Memory

-1.1MiB live, 14.1MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	27
1	42	27
2	81	27
3	243	27
4	1363	27

Stop Event

1×	node limit

Calls

Call 1

Inputs

(sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))

(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))

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

Outputs

(sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))

(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))

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

derivations72.0ms (3.5%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 27 to 22 computations (18.5% saved)

preprocess16.0ms (0.8%)

Memory: 3.1MiB live, 10.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 78 to 64 computations (17.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample751.0ms (36.6%)

explain105.0ms (5.1%)

preprocess195.0ms (9.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.3%)

rewrite174.0ms (8.5%)

eval12.0ms (0.6%)

prune6.0ms (0.3%)

series27.0ms (1.3%)

rewrite133.0ms (6.5%)

eval35.0ms (1.7%)

prune12.0ms (0.6%)

series10.0ms (0.5%)

rewrite137.0ms (6.7%)

eval39.0ms (1.9%)

prune13.0ms (0.7%)

series16.0ms (0.8%)

rewrite151.0ms (7.4%)

eval46.0ms (2.2%)

prune16.0ms (0.8%)

regimes19.0ms (0.9%)

regimes13.0ms (0.6%)

regimes13.0ms (0.6%)

simplify35.0ms (1.7%)

derivations72.0ms (3.5%)

preprocess16.0ms (0.8%)

end0.0ms (0%)

Profiling