Metrics for NMSE Section 6.1 mentioned, A

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze34.0ms (0.2%)

Memory

6.3MiB live, 45.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.7%	92.5%	6.2%	0.1%	0%	1.2%	0%	9
93.7%	92.5%	6.2%	0.1%	0%	1.2%	0%	10
96.8%	94.9%	3.1%	0.1%	0%	1.9%	0%	11
96.8%	94.9%	3.1%	0.1%	0%	1.9%	0%	12

Compiler

Compiled 31 to 21 computations (32.3% saved)

sample3.2s (22.4%)

Memory

-96.7MiB live, 3 143.0MiB allocated

Samples

1.1s	5 988×	0	valid
884.0ms	2 268×	1	valid
193.0ms	996×	0	exit
3.0ms	15×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-mult: 383.0ms (20.8% of total)

ival-neg: 377.0ms (20.5% of total)

ival-exp: 369.0ms (20% of total)

ival-sub: 222.0ms (12% of total)

ival-div: 204.0ms (11.1% of total)

ival-add: 141.0ms (7.7% of total)

adjust: 125.0ms (6.8% of total)

exact: 10.0ms (0.5% of total)

ival-true: 7.0ms (0.4% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain672.0ms (4.7%)

Memory

50.0MiB live, 396.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
63	3	(-3.9278711876564206e-175 -1.7335148202794362e-9)	-	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
0	0	-	-	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
0	0	-	-	`(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))`
0	0	-	-	`(-.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) eps) x)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) eps)`
0	0	-	-	`eps`
0	0	-	-	`(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))`
0	0	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))`
0	0	-	-	`(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))`
0	0	-	-	`(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(*.f64 (+.f64 #s(literal 1 binary64) eps) x)`
0	0	-	-	`(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`	cancellation	66	0

Confusion

	Predicted +	Predicted -
+	63	0
-	3	190

Precision

0.9545454545454546

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	63	0	0
-	3	1	189

Precision?

0.9402985074626866

Recall?

1.0

Freqs

test

number	freq
0	190
1	66

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

118.0ms	384×	0	valid
43.0ms	128×	1	valid

Compiler

Compiled 456 to 80 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-add: 77.0ms (56.4% of total)

ival-exp: 16.0ms (11.7% of total)

ival-mult: 14.0ms (10.3% of total)

ival-sub: 9.0ms (6.6% of total)

ival-div: 9.0ms (6.6% of total)

adjust: 5.0ms (3.7% of total)

ival-neg: 5.0ms (3.7% of total)

exact: 1.0ms (0.7% of total)

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

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

preprocess190.0ms (1.3%)

Memory

-6.3MiB live, 191.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	155
1	168	138
2	524	135
3	1740	135
4	4682	133
0	19	29
0	34	29
1	70	29
2	169	27
3	513	27
4	1130	27
5	3343	25
6	7591	25
0	8123	23

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (fma.f64 x eps x))))

Symmetry

(abs eps)

Compiler

Compiled 29 to 19 computations (34.5% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.1%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Status

Accuracy

Program

▶

76.1%

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify168.0ms (1.2%)

Memory

-38.8MiB live, 129.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
cost-diff	128	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
cost-diff	704	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
cost-diff	5888	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	141
0	34	141
1	70	141
2	169	131
3	513	131
4	1130	131
5	3343	129
6	7591	129
0	8123	123

Stop Event

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

Calls

Call 1

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

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

localize99.0ms (0.7%)

Memory

9.4MiB live, 129.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
accuracy	0.01171875	(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
accuracy	0.014872480164287515	(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy	15.261140735002858	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Samples

45.0ms	192×	0	valid
37.0ms	64×	1	valid

Compiler

Compiled 284 to 40 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 26.0ms (39.5% of total)

adjust: 14.0ms (21.3% of total)

ival-exp: 8.0ms (12.2% of total)

ival-mult: 7.0ms (10.6% of total)

ival-sub: 4.0ms (6.1% of total)

ival-neg: 3.0ms (4.6% of total)

ival-add: 3.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory

-4.2MiB live, 31.3MiB allocated

Counts

7 → 73

Calls

Call 1

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

Outputs
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(* x (- eps 1))
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(* x (+ 1 eps))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(exp (- (* eps x) x))
(exp (neg (+ x (* eps x))))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* -1 (* x (- 1 eps)))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (+ 1 eps))))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(* -1 x)
(- (* eps x) x)
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
x
(+ x (* eps x))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(* eps x)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (+ x (/ x eps)))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(* -1 (* eps (- (/ x eps) x)))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	-inf	((* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (* (+ 1 eps) x))
5.0ms	eps	@	0	((* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (* (+ 1 eps) x))
3.0ms	x	@	0	((* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (* (+ 1 eps) x))
3.0ms	x	@	inf	((* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (* (+ 1 eps) x))
2.0ms	x	@	-inf	((* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (neg (* (- 1 eps) x)) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (* (+ 1 eps) x))

simplify186.0ms (1.3%)

Memory

39.5MiB live, 233.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	320	1976
1	1030	1756
2	3509	1560
0	8234	1458

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 72

Calls

Call 1

Inputs
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(* x (- eps 1))
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(* x (+ 1 eps))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(exp (- (* eps x) x))
(exp (neg (+ x (* eps x))))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* -1 (* x (- 1 eps)))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (+ 1 eps))))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(* -1 x)
(- (* eps x) x)
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
x
(+ x (* eps x))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(* eps x)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (+ x (/ x eps)))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(* -1 (* eps (- (/ x eps) x)))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))

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

rewrite202.0ms (1.4%)

Memory

-39.9MiB live, 342.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	94
0	34	94
1	131	89
2	932	86
0	8932	78

Stop Event

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

Counts

7 → 486

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64)))) (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64)))) (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 eps))))))
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) eps) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x))) (pow.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x))) (pow.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))))
(.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(.f64 (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps)))))
(.f64 (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x eps x)))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (fma.f64 x eps x))))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (expm1.f64 (neg.f64 (log.f64 eps))))
(*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
(*.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x))) (/.f64 (pow.f64 eps #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))) (.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) (-.f64 (/.f64 (pow.f64 eps #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps)) (.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)))) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 eps #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x))) (/.f64 (pow.f64 eps #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x))) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) (.f64 (/.f64 (pow.f64 eps #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) (-.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) (.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))) (neg.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps))))
(/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x))) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps)))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x eps x)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (neg.f64 (exp.f64 (fma.f64 x eps x))))
(/.f64 (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 x eps x))))
(/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (log.f64 eps)))))
(/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps)) (/.f64 (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)))))
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(+.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (.f64 x (neg.f64 eps))))
(+.f64 (neg.f64 x) (neg.f64 (*.f64 (neg.f64 eps) x)))
(+.f64 (neg.f64 x) (neg.f64 (*.f64 x (neg.f64 eps))))
(+.f64 (neg.f64 x) (*.f64 eps x))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))
(*.f64 (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) (/.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (/.f64 (neg.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (/.f64 (neg.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (neg.f64 eps) x)))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x (neg.f64 eps))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) eps))
(pow.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64)))
(pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (*.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64)))) x))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps))) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))
(*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))) (/.f64 (neg.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))) (/.f64 (neg.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x eps x) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x eps x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 eps x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) x))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) x))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 eps x)))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x eps)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 eps #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (+.f64 eps #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))) #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) (*.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))
(pow.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps)) x)
(pow.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))) (*.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))) (neg.f64 x))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))
(pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (fma.f64 x eps x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (fma.f64 x eps x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps))) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64)))) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (fma.f64 x eps x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (fma.f64 x eps x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) eps)))
(.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 eps eps))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (pow.f64 (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) x x) (pow.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 x (+.f64 eps #s(literal 1 binary64)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 x eps x))
(/.f64 (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 x x)) (-.f64 (*.f64 eps x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 eps x) (.f64 eps x))) (-.f64 x (*.f64 eps x)))
(/.f64 (-.f64 (.f64 (.f64 x eps) (.f64 x eps)) (.f64 x x)) (-.f64 (*.f64 x eps) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x eps) (.f64 x eps))) (-.f64 x (*.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 eps x) (.f64 eps x) (-.f64 (.f64 x x) (.f64 (.f64 eps x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 eps x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 x (.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 x eps) (.f64 x eps) (-.f64 (.f64 x x) (.f64 (.f64 x eps) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x eps) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 x eps) (.f64 x eps)) (.f64 x (.f64 x eps)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x eps x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (fma.f64 x eps x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 eps eps)))) (-.f64 eps #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (neg.f64 x)) (-.f64 eps #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) x) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 eps eps))) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) x x) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x eps x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) eps) x))
(/.f64 x (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) eps) (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) eps) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 eps eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) x x)))
(fma.f64 x eps x)
(fma.f64 x #s(literal 1 binary64) (*.f64 eps x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x eps))
(fma.f64 eps x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 eps x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x eps))
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 x eps) x)
(+.f64 #s(literal 0 binary64) (fma.f64 x eps x))
(+.f64 x (*.f64 eps x))
(+.f64 x (*.f64 x eps))

eval79.0ms (0.6%)

Memory: 31.7MiB live, 213.7MiB allocated
Compiler: Compiled 26 002 to 2 543 computations (90.2% saved)

prune16.0ms (0.1%)

Memory

-0.2MiB live, 77.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	532	8	540
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	533	8	541

Accuracy

100.0%

Counts

541 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.2%	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
	38.1%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
▶	74.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	37.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
▶	38.9%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
	40.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
▶	55.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64)))
▶	40.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 978 to 410 computations (58.1% saved)

simplify252.0ms (1.8%)

Memory

-22.5MiB live, 298.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
cost-diff	384	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
cost-diff	89152	(-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64))))
cost-diff	178304	(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
cost-diff	0	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
cost-diff	5888	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
cost-diff	6400	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64)))
cost-diff	128	(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))
cost-diff	512	(.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
cost-diff	0	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
cost-diff	0	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
cost-diff	128	(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	1379
0	127	1380
1	249	1212
2	715	1000
3	4043	996
0	8273	995

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(-.f64 #s(literal 1 binary64) eps)
x
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
#s(literal -1 binary64)
(exp.f64 (fma.f64 x eps x))
(fma.f64 x eps x)
#s(literal 2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))
#s(literal 2 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(exp.f64 x)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))
(-.f64 eps #s(literal 1 binary64))
x
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(+.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 3 binary64)
(fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))
(expm1.f64 (neg.f64 (log.f64 eps)))
(neg.f64 (log.f64 eps))
(log.f64 eps)
(exp.f64 (fma.f64 x eps x))
(fma.f64 x eps x)
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))))
(pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)))
(pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64))
(.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))

Outputs
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(-.f64 (.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(*.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
(pow.f64 eps #s(literal -1 binary64))
eps
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x)
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 eps #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(-.f64 #s(literal 1 binary64) eps)
x
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
#s(literal -1 binary64)
(exp.f64 (fma.f64 x eps x))
(fma.f64 x eps x)
#s(literal 2 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (exp.f64 x))
#s(literal 2 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(exp.f64 x)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(fma.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (fma.f64 x eps x))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
(pow.f64 eps #s(literal -1 binary64))
eps
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))
(-.f64 eps #s(literal 1 binary64))
x
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(expm1.f64 (neg.f64 (log.f64 eps)))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
(*.f64 (-.f64 #s(literal -1 binary64) eps) x)
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(fma.f64 x eps x)
(+.f64 #s(literal 1 binary64) eps)
(-.f64 eps #s(literal -1 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (pow.f64 (.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (pow.f64 (.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64)))
(pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x)
(exp.f64 x)
x
(-.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 3 binary64)
(fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))
(expm1.f64 (neg.f64 (log.f64 eps)))
(neg.f64 (log.f64 eps))
(log.f64 eps)
(exp.f64 (fma.f64 x eps x))
(fma.f64 x eps x)
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))))
(pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)))
(.f64 (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)) (fma.f64 (fma.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (pow.f64 (.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64))
(.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (pow.f64 (.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 eps) (E.f64)) x) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))

localize345.0ms (2.4%)

Memory

25.8MiB live, 465.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	1.4784765431179099	(expm1.f64 (neg.f64 (log.f64 eps)))
accuracy	6.6048270468892385	(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))))
accuracy	12.792826977169327	(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
accuracy	13.39993793230461	(-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64))))
accuracy	0.0078125	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))
accuracy	0.01171875	(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
accuracy	1.3074128756617576	#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	15.261140735002858	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
accuracy	0.0	(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))
accuracy	0.0	(exp.f64 x)
accuracy	0.0078125	(/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))
accuracy	0.7037507794521469	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64)))
accuracy	1.2674759884962612	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
accuracy	0.014872480164287515	(exp.f64 (fma.f64 x eps x))
accuracy	0.014872480164287515	(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy	15.261140735002858	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
accuracy	16.862845781770766	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))

Samples

198.0ms	94×	1	valid
71.0ms	145×	0	exit
6.0ms	11×	1	exit
3.0ms	6×	0	valid

Compiler

Compiled 2 845 to 131 computations (95.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-pow: 61.0ms (27.9% of total)

ival-mult: 38.0ms (17.4% of total)

ival-exp: 35.0ms (16% of total)

ival-div: 18.0ms (8.2% of total)

ival-expm1: 14.0ms (6.4% of total)

ival-log: 12.0ms (5.5% of total)

ival-sub: 11.0ms (5% of total)

adjust: 11.0ms (5% of total)

ival-add: 10.0ms (4.6% of total)

ival-pow2: 4.0ms (1.8% of total)

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

exact: 1.0ms (0.5% of total)

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

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

series401.0ms (2.8%)

Memory

-11.1MiB live, 659.5MiB allocated

Counts

26 → 191

Calls

Call 1

Inputs
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (fma.f64 x eps x))
(exp.f64 x)
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))))
(expm1.f64 (neg.f64 (log.f64 eps)))

Outputs
(* x (- eps 1))
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
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(exp (neg (* x (- 1 (* -1 eps)))))
(- (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ (exp (neg (+ (log -1) (* -1 (log (/ -1 eps)))))) (exp (+ x (* eps x))))) (/ 1 (exp (+ x (* eps x)))))
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(- (exp (neg (+ (log -1) (* -1 (log (/ -1 eps)))))) 1)

Calls

6 calls:

Time	Variable		Point	Expression
97.0ms	x	@	0	((neg (* (- 1 eps) x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (* 2 (/ (+ 1 x) (exp x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (+ 1 x) (exp x)) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)))) (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (/ (/ (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)))) 2) (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (exp (+ (* x eps) x)) (exp x) (exp (neg (* (- 1 eps) x))) (exp (neg (* (+ 1 eps) x))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x)))) (- (exp (neg (log eps))) 1))
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simplify770.0ms (5.4%)

Memory

-4.7MiB live, 361.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1445	70938
1	4948	57801
0	8340	52011

Stop Event

1×	iter limit
1×	node limit

Counts

191 → 190

Calls

Call 1

Inputs
(* x (- eps 1))
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
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(exp (neg (* x (- 1 (* -1 eps)))))
(- (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ (exp (neg (+ (log -1) (* -1 (log (/ -1 eps)))))) (exp (+ x (* eps x))))) (/ 1 (exp (+ x (* eps x)))))
(- (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (+ (/ (exp (neg (+ (log -1) (* -1 (log (/ -1 eps)))))) (exp (+ x (* eps x)))) (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps))) (/ 1 (exp (+ x (* eps x)))))
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 eps)))))) 1)

Outputs
(* x (- eps 1))
(*.f64 (-.f64 eps #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
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(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
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(+ 1 (/ 1 eps))
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(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
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(+ 2 (* -1 (pow x 2)))
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(* x (+ 1 eps))
(fma.f64 x eps x)
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(exp (neg (* x (- 1 (* -1 eps)))))
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))
(- (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ (exp (neg (+ (log -1) (* -1 (log (/ -1 eps)))))) (exp (+ x (* eps x))))) (/ 1 (exp (+ x (* eps x)))))
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(- (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (+ (/ (exp (neg (+ (log -1) (* -1 (log (/ -1 eps)))))) (exp (+ x (* eps x)))) (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps))) (/ 1 (exp (+ x (* eps x)))))
(-.f64 (+.f64 (+.f64 (exp.f64 (-.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) eps)) (log.f64 #s(literal -1 binary64))) (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 eps)))))) 1)
(expm1.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) eps)) (log.f64 #s(literal -1 binary64))))

rewrite305.0ms (2.1%)

Memory

26.3MiB live, 184.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	1001
0	127	905
1	493	726
2	4106	721
0	8421	683

Stop Event

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

Counts

26 → 728

Calls

Call 1

Inputs
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))
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(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (fma.f64 x eps x))
(exp.f64 x)
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))))
(expm1.f64 (neg.f64 (log.f64 eps)))

Outputs
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps)))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64))
(*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) eps)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (neg.f64 x)) (+.f64 eps #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (neg.f64 x)) (fma.f64 eps (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 1 binary64) eps))))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) (pow.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) (pow.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) (+.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal -1/2 binary64))
(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))
(.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) (pow.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) (pow.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) (+.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64) (.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (fma.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) (+.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))) (-.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1/2 binary64))) (pow.f64 eps #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 eps #s(literal -1/2 binary64)) (*.f64 (pow.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 eps #s(literal -1/2 binary64)) (pow.f64 eps #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))
(fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 eps)))
(expm1.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 eps)) #s(literal 2 binary64)))
(expm1.f64 (.f64 (log.f64 (.f64 eps eps)) #s(literal -1/2 binary64)))
(expm1.f64 (neg.f64 (log.f64 eps)))
(-.f64 (/.f64 (pow.f64 eps #s(literal -2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 eps #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal -1 binary64)))
(+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))

eval612.0ms (4.3%)

Memory: -6.3MiB live, 414.9MiB allocated
Compiler: Compiled 319 020 to 7 313 computations (97.7% saved)

prune105.0ms (0.7%)

Memory

14.7MiB live, 133.0MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	1 567	16	1 583
Fresh	1	2	3
Picked	4	1	5
Done	0	0	0
Total	1 572	19	1 591

Accuracy

100.0%

Counts

1 591 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.9%	(/.f64 (/.f64 #s(approx (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (.f64 (fma.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (/.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (-.f64 eps #s(literal 1 binary64))))) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 eps))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal 3 binary64)))))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
	3.7%	(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))))
	37.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
▶	59.1%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	15.2%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x))) #s(literal 2 binary64)) (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -2 binary64))) (fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 eps #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))
	21.6%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
▶	37.5%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	37.8%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	32.9%	#s(approx (/ (/ (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)))) 2) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64)))
	40.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
▶	55.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
	44.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
	55.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
▶	50.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64)))
	48.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
	39.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	51.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶	39.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	40.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 2 675 to 1 157 computations (56.7% saved)

simplify283.0ms (2%)

Memory

14.1MiB live, 132.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))
cost-diff	0	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
cost-diff	128	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
cost-diff	0	(exp.f64 x)
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) #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))))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64)))
cost-diff	128	(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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)))))
cost-diff	512	(.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (*.f64 x eps))))
cost-diff	0	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
cost-diff	512	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	625
0	96	621
1	171	606
2	358	579
3	843	579
4	2031	579
5	5273	573
0	8112	567

Stop Event

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

Calls

Call 1

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

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

localize223.0ms (1.6%)

Memory

-20.3MiB live, 194.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.014872480164287515	(exp.f64 (fma.f64 x eps x))
accuracy	15.261140735002858	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
accuracy	16.862845781770766	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
accuracy	19.115335903851726	#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0	(exp.f64 x)
accuracy	0.0078125	(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
accuracy	14.203624169307908	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
accuracy	0.01953125	(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))
accuracy	0.10546875	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	6.862660152794164	#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)))
accuracy	14.203624169307908	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64)))
accuracy	0.0	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	14.203624169307908	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy	21.88308105225488	#s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.014872480164287515	(exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)))
accuracy	15.261140735002858	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
accuracy	16.862845781770766	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
accuracy	26.381224291065664	#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))

Samples

111.0ms	135×	0	valid
39.0ms	64×	1	valid
31.0ms	57×	0	exit

Compiler

Compiled 1 072 to 114 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult: 53.0ms (42.4% of total)

ival-exp: 33.0ms (26.4% of total)

ival-add: 12.0ms (9.6% of total)

ival-div: 9.0ms (7.2% of total)

ival-sub: 6.0ms (4.8% of total)

adjust: 6.0ms (4.8% of total)

const: 4.0ms (3.2% of total)

ival-neg: 3.0ms (2.4% of total)

exact: 1.0ms (0.8% of total)

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

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

series23.0ms (0.2%)

Memory

-11.3MiB live, 25.5MiB allocated

Counts

27 → 109

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (*.f64 x eps))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) x) #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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(+.f64 x #s(literal 1 binary64))
(exp.f64 x)
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)))
#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)))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 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 1 binary64))
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
(exp.f64 (fma.f64 x eps x))

Outputs
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(pow x 2)
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x (- eps 1))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1 (* x (+ 1 eps)))
(+ 1 (* x (+ 1 (+ eps (* 1/2 (* x (pow (+ 1 eps) 2)))))))
(+ 1 (* x (+ 1 (+ eps (* x (+ (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(/ x (exp x))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* 2 (/ x (exp x)))
(* x (+ (* 2 (/ 1 (exp x))) (* 2 (/ 1 (* x (exp x))))))
x
(* x (+ 1 (/ 1 x)))
(exp x)
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(exp (- (* eps x) x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(exp (+ x (* eps x)))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* -1 (* x (- 1 eps)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(exp (neg (* x (- 1 eps))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(exp (- (* eps x) (* -1 x)))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(/ 1 eps)
(/ (+ 1 eps) eps)
(* -1 x)
(- (* eps x) x)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(+ (exp x) (* eps (* x (exp x))))
(+ (exp x) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp x)))) (* x (exp x)))))
(+ (exp x) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp x)))) (* 1/2 (* (pow x 2) (exp x))))) (* x (exp x)))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(* eps x)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(* -1 (* eps (- (/ x eps) x)))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (* 2 (/ (+ 1 x) (exp x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (+ 1 x) (exp x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (neg (* (- 1 eps) x)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (exp x) (+ (* 1/6 x) 1/2) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (exp (neg (* (- 1 eps) x))) (exp (+ (* x eps) x)))
3.0ms	x	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (* 2 (/ (+ 1 x) (exp x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (+ 1 x) (exp x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (neg (* (- 1 eps) x)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (exp x) (+ (* 1/6 x) 1/2) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (exp (neg (* (- 1 eps) x))) (exp (+ (* x eps) x)))
2.0ms	x	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (* 2 (/ (+ 1 x) (exp x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (+ 1 x) (exp x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (neg (* (- 1 eps) x)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (exp x) (+ (* 1/6 x) 1/2) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (exp (neg (* (- 1 eps) x))) (exp (+ (* x eps) x)))
2.0ms	eps	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (* 2 (/ (+ 1 x) (exp x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (+ 1 x) (exp x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (neg (* (- 1 eps) x)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (exp x) (+ (* 1/6 x) 1/2) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (exp (neg (* (- 1 eps) x))) (exp (+ (* x eps) x)))
1.0ms	eps	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (* 2 (/ (+ 1 x) (exp x))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (+ 1 x) (exp x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (neg (* (- 1 eps) x)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (- 1 eps) x))) (exp x) (+ (* 1/6 x) 1/2) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (exp (neg (* (- 1 eps) x))) (exp (+ (* x eps) x)))

simplify257.0ms (1.8%)

Memory

-7.9MiB live, 232.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	444	2440
1	1393	2215
2	4478	2021
0	8121	1878

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 108

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(pow x 2)
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x (- eps 1))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1 (* x (+ 1 eps)))
(+ 1 (* x (+ 1 (+ eps (* 1/2 (* x (pow (+ 1 eps) 2)))))))
(+ 1 (* x (+ 1 (+ eps (* x (+ (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(/ x (exp x))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* 2 (/ x (exp x)))
(* x (+ (* 2 (/ 1 (exp x))) (* 2 (/ 1 (* x (exp x))))))
x
(* x (+ 1 (/ 1 x)))
(exp x)
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(exp (- (* eps x) x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(exp (+ x (* eps x)))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* -1 (* x (- 1 eps)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(exp (neg (* x (- 1 eps))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(exp (- (* eps x) (* -1 x)))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(/ 1 eps)
(/ (+ 1 eps) eps)
(* -1 x)
(- (* eps x) x)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(+ (exp x) (* eps (* x (exp x))))
(+ (exp x) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp x)))) (* x (exp x)))))
(+ (exp x) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp x)))) (* 1/2 (* (pow x 2) (exp x))))) (* x (exp x)))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(* eps x)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(* -1 (* eps (- (/ x eps) x)))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) x (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) x #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(fma.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x #s(literal 2 binary64))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x #s(literal 2 binary64))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) x (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x #s(literal 2 binary64))
(+ 1 (/ 1 eps))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) eps) x x) (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (fma.f64 (.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) x) #s(literal 1/2 binary64) (-.f64 eps #s(literal 1 binary64)))) x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(fma.f64 (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)))) x (.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) x (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(+ 2 (* -1 (pow x 2)))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal -1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 2/3 binary64)) x #s(literal -1 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* x (- eps 1))
(*.f64 (-.f64 eps #s(literal 1 binary64)) x)
(- (/ 1 eps) 1)
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
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(+ (exp x) (* eps (* x (exp x))))
(*.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 x))
(+ (exp x) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp x)))) (* x (exp x)))))
(fma.f64 (.f64 (exp.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (*.f64 x x) x)) eps (exp.f64 x))
(+ (exp x) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp x)))) (* 1/2 (* (pow x 2) (exp x))))) (* x (exp x)))))
(fma.f64 (fma.f64 (.f64 (exp.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) eps)))) eps (*.f64 (exp.f64 x) x)) eps (exp.f64 x))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(* eps x)
(*.f64 x eps)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(*.f64 (-.f64 x (/.f64 x eps)) eps)
(* -1 (exp (neg (* x (+ 1 eps)))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64)))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(* -1 (* eps (- (/ x eps) x)))
(*.f64 (-.f64 x (/.f64 x eps)) eps)
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))

rewrite226.0ms (1.6%)

Memory

26.4MiB live, 306.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	524
0	96	520
1	378	489
2	2777	489
0	8304	480

Stop Event

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

Counts

27 → 557

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (*.f64 x eps))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) x) #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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(+.f64 x #s(literal 1 binary64))
(exp.f64 x)
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))
(exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)))
#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)))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 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 1 binary64))
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
(exp.f64 (fma.f64 x eps x))

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) (fma.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) (pow.f64 (.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (*.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal -1/2 binary64))
(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (-.f64 (.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))
(.f64 (-.f64 (.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) (fma.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) (pow.f64 (.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (*.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (/.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))) #s(literal -4 binary64))
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eval99.0ms (0.7%)

Memory: -13.8MiB live, 174.0MiB allocated
Compiler: Compiled 38 940 to 2 654 computations (93.2% saved)

prune34.0ms (0.2%)

Memory

-5.7MiB live, 71.6MiB allocated

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	634	12	646
Fresh	4	9	13
Picked	2	3	5
Done	0	1	1
Total	640	25	665

Accuracy

100.0%

Counts

665 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.9%	(/.f64 (/.f64 #s(approx (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (.f64 (fma.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (/.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (-.f64 eps #s(literal 1 binary64))))) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 eps))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal 3 binary64)))))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
✓	59.1%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
▶	45.3%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	15.2%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x))) #s(literal 2 binary64)) (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -2 binary64))) (fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 eps #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))
▶	21.6%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
	20.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
	23.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal 1 binary64)))))) #s(literal 2 binary64))
	24.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	37.8%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	36.4%	(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
	32.9%	#s(approx (/ (/ (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)))) 2) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64)))
	42.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #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))) (-.f64 x #s(literal 1 binary64)))))
✓	55.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
	50.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 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)))))
	48.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.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)))))
	44.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
▶	50.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64)))))
▶	55.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
	50.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
	15.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))) #s(literal 1/2 binary64)))
	17.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))))) #s(literal 1/2 binary64)))
	39.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶	51.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	39.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	40.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 3 195 to 1 502 computations (53% saved)

simplify121.0ms (0.9%)

Memory

29.9MiB live, 190.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (*.f64 x eps))))
cost-diff	0	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
cost-diff	0	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))
cost-diff	128	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))))
cost-diff	576	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
cost-diff	0	#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)))
cost-diff	0	(/.f64 #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))) (+.f64 x #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64))))
cost-diff	0	(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(neg.f64 x)
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	611
0	102	611
1	184	597
2	409	575
3	1002	575
4	2461	575
5	6518	571
0	8088	560

Stop Event

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

Calls

Call 1

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

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

localize189.0ms (1.3%)

Memory

-32.9MiB live, 254.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.014872480164287515	(exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)))
accuracy	15.261140735002858	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
accuracy	26.381224291065664	#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))
accuracy	30.086929893656688	#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
accuracy	0.0078125	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))
accuracy	15.261140735002858	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))))
accuracy	24.470549434539866	#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	30.089622335867322	#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))
accuracy	0.01953125	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	0.109375	(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
accuracy	7.351256610147681	#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)))
accuracy	19.545811608916992	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64)))))
accuracy	0.0234375	(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy	0.109375	(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
accuracy	19.545811608916992	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy	22.308442537037735	#s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.0078125	(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
accuracy	19.545811608916992	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))

Samples

80.0ms	157×	0	valid
47.0ms	64×	1	valid
13.0ms	35×	0	exit

Compiler

Compiled 1 049 to 124 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 26.0ms (23.2% of total)

ival-sub: 18.0ms (16.1% of total)

ival-neg: 16.0ms (14.3% of total)

ival-add: 15.0ms (13.4% of total)

ival-exp: 12.0ms (10.7% of total)

adjust: 10.0ms (8.9% of total)

ival-div: 9.0ms (8% of total)

const: 7.0ms (6.2% of total)

exact: 1.0ms (0.9% of total)

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

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

series15.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

27 → 129

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(+.f64 x #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #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))) (+.f64 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)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (*.f64 x eps))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))
(exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)))

Outputs
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(+ 1 x)
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
-1/2
(- (* 1/3 x) 1/2)
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/3 x))))
(+ 1 (* (pow x 2) (+ 1/2 (* x (- (* 3/8 x) 1/3)))))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(* x (- eps 1))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
x
(* x (+ 1 (/ 1 x)))
(exp (neg x))
(/ x (exp x))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(/ (exp x) x)
(/ (+ (exp x) (* -1 (/ (exp x) x))) x)
(/ (- (+ (exp x) (/ (exp x) (pow x 2))) (/ (exp x) x)) x)
(/ (- (+ (exp x) (* -1 (/ (exp x) (pow x 3)))) (+ (* -1 (/ (exp x) (pow x 2))) (/ (exp x) x))) x)
(exp x)
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(exp (neg (+ x (* eps x))))
(exp (- (* eps x) x))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(exp (* -1 x))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (/ (+ (* -1 (exp x)) (/ (exp x) x)) x))
(* -1 (/ (+ (* -1 (exp x)) (* -1 (/ (- (/ (exp x) x) (exp x)) x))) x))
(* -1 (/ (+ (* -1 (exp x)) (* -1 (/ (- (* -1 (/ (- (/ (exp x) x) (exp x)) x)) (exp x)) x))) x))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (- 1 eps))))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* -1 (* x (- 1 eps)))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(/ 1 eps)
(/ (+ 1 eps) eps)
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(- (* eps x) x)
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* eps x)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(exp (neg (* x (- 1 (* -1 eps)))))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(* -1 (* eps (- (/ x eps) x)))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ x 1) (exp (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (+ (* 1/3 x) -1/2) (/ 1 (/ (exp x) (+ x 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (exp x) (+ x 1)) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ x 1) (exp (neg x))) (+ (* 1/6 x) 1/2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg (* (- 1 eps) x)) (exp (neg (* (- 1 eps) x))))
3.0ms	x	@	inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ x 1) (exp (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (+ (* 1/3 x) -1/2) (/ 1 (/ (exp x) (+ x 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (exp x) (+ x 1)) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ x 1) (exp (neg x))) (+ (* 1/6 x) 1/2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg (* (- 1 eps) x)) (exp (neg (* (- 1 eps) x))))
2.0ms	x	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ x 1) (exp (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (+ (* 1/3 x) -1/2) (/ 1 (/ (exp x) (+ x 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (exp x) (+ x 1)) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ x 1) (exp (neg x))) (+ (* 1/6 x) 1/2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg (* (- 1 eps) x)) (exp (neg (* (- 1 eps) x))))
2.0ms	eps	@	0	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ x 1) (exp (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (+ (* 1/3 x) -1/2) (/ 1 (/ (exp x) (+ x 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (exp x) (+ x 1)) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ x 1) (exp (neg x))) (+ (* 1/6 x) 1/2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg (* (- 1 eps) x)) (exp (neg (* (- 1 eps) x))))
1.0ms	eps	@	-inf	((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ x 1) (exp (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (+ (* 1/3 x) -1/2) (/ 1 (/ (exp x) (+ x 1))) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (exp x) (+ x 1)) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ x 1) (exp (neg x))) (+ (* 1/6 x) 1/2) (+ (* (+ (* 1/6 x) 1/2) x) 1) (exp (neg (* (+ 1 eps) x))) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg (* (- 1 eps) x)) (exp (neg (* (- 1 eps) x))))

simplify188.0ms (1.3%)

Memory

-21.1MiB live, 256.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	481	2614
1	1510	2329
2	4714	2136
0	8224	1984

Stop Event

1×	iter limit
1×	node limit

Counts

129 → 128

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(+ 1 x)
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
-1/2
(- (* 1/3 x) 1/2)
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/3 x))))
(+ 1 (* (pow x 2) (+ 1/2 (* x (- (* 3/8 x) 1/3)))))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(* x (- eps 1))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
x
(* x (+ 1 (/ 1 x)))
(exp (neg x))
(/ x (exp x))
(* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x)))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(/ (exp x) x)
(/ (+ (exp x) (* -1 (/ (exp x) x))) x)
(/ (- (+ (exp x) (/ (exp x) (pow x 2))) (/ (exp x) x)) x)
(/ (- (+ (exp x) (* -1 (/ (exp x) (pow x 3)))) (+ (* -1 (/ (exp x) (pow x 2))) (/ (exp x) x))) x)
(exp x)
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(exp (neg (+ x (* eps x))))
(exp (- (* eps x) x))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(exp (* -1 x))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (/ (+ (* -1 (exp x)) (/ (exp x) x)) x))
(* -1 (/ (+ (* -1 (exp x)) (* -1 (/ (- (/ (exp x) x) (exp x)) x))) x))
(* -1 (/ (+ (* -1 (exp x)) (* -1 (/ (- (* -1 (/ (- (/ (exp x) x) (exp x)) x)) (exp x)) x))) x))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (- 1 eps))))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* -1 (* x (- 1 eps)))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(/ 1 eps)
(/ (+ 1 eps) eps)
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(- (* eps x) x)
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* eps x)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(exp (neg (* x (- 1 (* -1 eps)))))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(* -1 (* eps (- (/ x eps) x)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) x (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) x (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
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(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) #s(literal 2 binary64))
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(fma.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))))) (.f64 eps eps) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) #s(literal 2 binary64)))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 x)) #s(literal 1/120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 x)) #s(literal 1/12 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) (exp.f64 x)))) (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))))) (.f64 eps eps) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (exp.f64 x)) #s(literal 1/5040 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 x)) #s(literal 1/360 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64)) (exp.f64 x)))) (.f64 eps eps) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 x)) #s(literal 1/120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 x)) #s(literal 1/12 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) (exp.f64 x))))) (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))) (.f64 eps eps) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))))
(/ (exp (neg x)) eps)
(/.f64 (exp.f64 (neg.f64 x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 eps (fma.f64 x eps #s(literal 1 binary64)))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/.f64 (fma.f64 (fma.f64 (/.f64 eps (exp.f64 x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) eps (exp.f64 (neg.f64 x))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (exp.f64 x)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (.f64 (exp.f64 (neg.f64 x)) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) eps (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) eps (exp.f64 (neg.f64 x))) eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(/ (+ 1 eps) eps)
(/.f64 (+.f64 eps #s(literal 1 binary64)) eps)
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(fma.f64 (/.f64 eps (exp.f64 x)) (neg.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(fma.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x eps) x) (neg.f64 x))) eps (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(fma.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) eps) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) eps (/.f64 (neg.f64 x) (exp.f64 x))) eps (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(*.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(fma.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (*.f64 x x) x)) eps (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(fma.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) eps (/.f64 x (exp.f64 x))) eps (exp.f64 (neg.f64 x)))
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/.f64 (fma.f64 (/.f64 eps (exp.f64 x)) (-.f64 #s(literal -1 binary64) x) (exp.f64 (neg.f64 x))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/.f64 (fma.f64 (fma.f64 (/.f64 eps (exp.f64 x)) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) x))) eps (exp.f64 (neg.f64 x))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 eps (exp.f64 x)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) (.f64 (exp.f64 (neg.f64 x)) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) eps (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) x))) eps (exp.f64 (neg.f64 x))) eps)
(- (* eps x) x)
(*.f64 (-.f64 eps #s(literal 1 binary64)) x)
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(* -1 (exp (neg (* x (+ 1 eps)))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))
(* eps x)
(*.f64 x eps)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(*.f64 (-.f64 x (/.f64 x eps)) eps)
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64)))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(exp (neg (* x (- 1 (* -1 eps)))))
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))
(* -1 (* eps (- (/ x eps) x)))
(*.f64 (-.f64 x (/.f64 x eps)) eps)

rewrite192.0ms (1.4%)

Memory

12.8MiB live, 297.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	514
0	102	512
1	412	479
2	3149	479
0	8127	462

Stop Event

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

Counts

27 → 465

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(+.f64 x #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #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))) (+.f64 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)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (*.f64 x eps))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))
(exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)))

Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
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(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (exp.f64 x))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (exp.f64 x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 x)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (exp.f64 x)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 (exp.f64 x) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (exp.f64 x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (exp.f64 x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (exp.f64 x) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (exp.f64 x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (exp.f64 x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (exp.f64 x)))
(neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 (exp.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) x))
(fma.f64 x (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) x) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (.f64 (exp.f64 (neg.f64 x)) x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))
(.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 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))) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 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))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64)))
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (expm1.f64 (neg.f64 (log.f64 eps))))
#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))
(exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)))

eval84.0ms (0.6%)

Memory: -12.0MiB live, 181.7MiB allocated
Compiler: Compiled 35 061 to 2 470 computations (93% saved)

prune34.0ms (0.2%)

Memory

37.1MiB live, 76.6MiB allocated

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	599	10	609
Fresh	6	10	16
Picked	3	2	5
Done	0	4	4
Total	608	26	634

Accuracy

100.0%

Counts

634 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.9%	(/.f64 (/.f64 #s(approx (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (.f64 (fma.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (/.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (-.f64 eps #s(literal 1 binary64))))) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 eps))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal 3 binary64)))))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
✓	59.1%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	15.2%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x))) #s(literal 2 binary64)) (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -2 binary64))) (fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 eps #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))
	23.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal 1 binary64)))))) #s(literal 2 binary64))
	24.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	33.7%	(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
	9.0%	(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
	25.1%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
	37.8%	(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
	36.4%	(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
	32.9%	#s(approx (/ (/ (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)))) 2) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64)))
	55.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
✓	55.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
	51.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/3 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
	50.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
	49.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
✓	55.8%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
	51.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
	15.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))) #s(literal 1/2 binary64)))
	17.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))))) #s(literal 1/2 binary64)))
	39.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	51.4%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓	39.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	51.3%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 #s(approx (+ (* 1/3 x) -1/2) (.f64 #s(literal 1/3 binary64) x)) (.f64 x x) #s(literal 1 binary64))))
	14.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) #s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))))
✓	40.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Compiler

Compiled 4 570 to 1 180 computations (74.2% saved)

regimes80.0ms (0.6%)

Memory

-9.6MiB live, 73.4MiB allocated

Counts

47 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) #s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 #s(approx (+ (* 1/3 x) -1/2) (.f64 #s(literal 1/3 binary64) x)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/3 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #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))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal 1 binary64)))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
#s(approx (/ (/ (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)))) 2) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x))) #s(literal 2 binary64)) (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -2 binary64))) (fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 eps #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) (pow.f64 #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) x (log1p.f64 (pow.f64 eps #s(literal -1 binary64))))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))))
(/.f64 (/.f64 #s(approx (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (.f64 (fma.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (/.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (exp.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (-.f64 eps #s(literal 1 binary64))))) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 eps))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal 3 binary64)))))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (neg.f64 (log.f64 eps))) (exp.f64 (fma.f64 x eps x)))) (pow.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))

Outputs

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

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

Calls

4 calls:

39.0ms	eps
13.0ms	x
11.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
11.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
89.8%	3	`x`
100.0%	2	`eps`
100.0%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
100.0%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes113.0ms (0.8%)

Memory

-12.5MiB live, 65.9MiB allocated

Counts

39 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) #s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 #s(approx (+ (* 1/3 x) -1/2) (.f64 #s(literal 1/3 binary64) x)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/3 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #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))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal 1 binary64)))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
#s(approx (/ (/ (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)))) 2) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))

Outputs

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

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

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

Calls

4 calls:

50.0ms	x
40.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
11.0ms	eps
9.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
81.4%	3	`x`
82.5%	3	`eps`
78.8%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
78.8%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes55.0ms (0.4%)

Memory

-16.4MiB live, 23.0MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) #s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 #s(approx (+ (* 1/3 x) -1/2) (.f64 #s(literal 1/3 binary64) x)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/3 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #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))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal 1 binary64)))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
#s(approx (/ (/ (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)))) 2) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))

Outputs

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

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

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

Calls

1 calls:

11.0ms

eps

Results

Accuracy	Segments	Branch
82.5%	3	`eps`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

33 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) #s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 #s(approx (+ (* 1/3 x) -1/2) (.f64 #s(literal 1/3 binary64) x)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/3 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #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))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal 1 binary64)))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
#s(approx (/ (/ (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)))) 2) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))

Outputs

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

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

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

Calls

1 calls:

10.0ms

eps

Results

Accuracy	Segments	Branch
82.5%	3	`eps`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes34.0ms (0.2%)

Memory

-12.6MiB live, 28.9MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) #s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 #s(approx (+ (* 1/3 x) -1/2) (.f64 #s(literal 1/3 binary64) x)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/3 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #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))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal 1 binary64)))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
#s(approx (/ (/ (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)))) 2) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))

Outputs

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

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

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

Calls

2 calls:

22.0ms	x
9.0ms	eps

Results

Accuracy	Segments	Branch
81.4%	3	`x`
78.2%	2	`eps`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes38.0ms (0.3%)

Memory

-0.4MiB live, 38.5MiB allocated

Counts

31 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) #s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 #s(approx (+ (* 1/3 x) -1/2) (.f64 #s(literal 1/3 binary64) x)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/3 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #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))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal 1 binary64)))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
#s(approx (/ (/ (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)))) 2) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))

Outputs

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

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

Calls

3 calls:

19.0ms

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

9.0ms

8.0ms

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

Results

Accuracy	Segments	Branch
78.8%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
78.8%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
71.8%	2	`x`

Compiler

Compiled 57 to 38 computations (33.3% saved)

regimes129.0ms (0.9%)

Memory

23.6MiB live, 62.6MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) #s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 #s(approx (+ (* 1/3 x) -1/2) (.f64 #s(literal 1/3 binary64) x)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/3 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #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))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal 1 binary64)))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
#s(approx (/ (/ (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)))) 2) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))) #s(literal 1/2 binary64)))

Outputs

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

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

Calls

4 calls:

103.0ms	eps
10.0ms	x
7.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
7.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
69.8%	2	`x`
70.6%	3	`eps`
69.7%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
69.7%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes112.0ms (0.8%)

Memory

-27.6MiB live, 58.1MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) #s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 #s(approx (+ (* 1/3 x) -1/2) (.f64 #s(literal 1/3 binary64) x)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/3 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #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))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal 1 binary64)))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))

Outputs

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

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

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

Calls

4 calls:

86.0ms	eps
11.0ms	x
7.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
7.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
70.6%	3	`eps`
67.9%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
67.9%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
65.1%	2	`x`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes94.0ms (0.7%)

Memory

6.3MiB live, 45.7MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) #s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 #s(approx (+ (* 1/3 x) -1/2) (.f64 #s(literal 1/3 binary64) x)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/3 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #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))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) #s(approx (exp (+ (* x eps) x)) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal 1 binary64)))))) #s(literal 2 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))

Outputs

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/3 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))

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

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

Calls

4 calls:

70.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
8.0ms	eps
7.0ms	x
6.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
62.7%	3	`x`
63.5%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
63.5%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
66.2%	3	`eps`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes7.0ms (0%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) #s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 #s(approx (+ (* 1/3 x) -1/2) (.f64 #s(literal 1/3 binary64) x)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/3 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) #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(literal 1/2 binary64)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) (/.f64 #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))) (+.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #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))) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 1 binary64)))

Outputs

#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/3 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))

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

Calls

1 calls:

6.0ms

eps

Results

Accuracy	Segments	Branch
63.5%	2	`eps`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes113.0ms (0.8%)

Memory

-20.9MiB live, 18.7MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) #s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 #s(approx (+ (* 1/3 x) -1/2) (.f64 #s(literal 1/3 binary64) x)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 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)))))

Outputs

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

Calls

3 calls:

105.0ms

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

4.0ms

eps

3.0ms

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

Results

Accuracy	Segments	Branch
62.7%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
62.7%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
62.7%	2	`eps`

Compiler

Compiled 57 to 38 computations (33.3% saved)

regimes4.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) #s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 #s(approx (+ (* 1/3 x) -1/2) (.f64 #s(literal 1/3 binary64) x)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))

Outputs

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

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

Calls

1 calls:

4.0ms

eps

Results

Accuracy	Segments	Branch
62.7%	2	`eps`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes13.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) #s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 #s(approx (+ (* 1/3 x) -1/2) (.f64 #s(literal 1/3 binary64) x)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.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)))))

Outputs

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

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

Calls

4 calls:

3.0ms	eps
3.0ms	x
3.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
3.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
53.4%	2	`x`
60.8%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
60.8%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
60.8%	2	`eps`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes242.0ms (1.7%)

Memory

-23.0MiB live, 16.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

234.0ms	eps
2.0ms	x
2.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
2.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
51.4%	1	`x`
51.4%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
51.4%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
51.4%	1	`eps`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes8.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

2.0ms	eps
2.0ms	x
2.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
2.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
51.3%	1	`x`
51.3%	1	`eps`
51.3%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
51.3%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes7.0ms (0%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

4 calls:

2.0ms	x
2.0ms	eps
1.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
1.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
51.8%	2	`x`
42.0%	2	`eps`
51.3%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
51.3%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes7.0ms (0%)

Memory

-30.2MiB live, 11.3MiB allocated

Accuracy

Total -0.8b remaining (-2%)

Threshold costs -0.8b (-2%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

Calls

4 calls:

3.0ms	x
1.0ms	eps
1.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
1.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
40.1%	1	`eps`
40.1%	1	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
40.1%	1	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`
40.1%	1	`x`

Compiler

Compiled 58 to 40 computations (31% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0	2.000000000023208

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch327.0ms (2.3%)

Memory

1.7MiB live, 40.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.252101674776993e+198	9.022341180320188e+199
320.0ms	9.31707592842821e-6	0.5124845585642441

Samples

312.0ms	144×	0	valid
3.0ms	28×	0	exit

Compiler

Compiled 694 to 461 computations (33.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 311.0ms

ival-exp: 300.0ms (96.4% of total)

ival-mult: 4.0ms (1.3% of total)

ival-div: 2.0ms (0.6% of total)

ival-add: 2.0ms (0.6% of total)

ival-sub: 2.0ms (0.6% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.252101674776993e+198	9.022341180320188e+199
1.0ms	9.31707592842821e-6	0.5124845585642441

Compiler

Compiled 686 to 477 computations (30.5% saved)

bsearch2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.252101674776993e+198	9.022341180320188e+199
1.0ms	9.31707592842821e-6	0.5124845585642441

Compiler

Compiled 722 to 495 computations (31.4% saved)

bsearch641.0ms (4.5%)

Memory

0.8MiB live, 79.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
326.0ms	73.28586667813732	7168072.421124427
309.0ms	-4.943332642805109e-120	-3.5126360790967007e-121

Samples

304.0ms	152×	0	valid
24.0ms	85×	1	valid
2.0ms	3×	2	valid

Compiler

Compiled 1 232 to 831 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 322.0ms

ival-div: 292.0ms (90.7% of total)

ival-mult: 8.0ms (2.5% of total)

ival-exp: 8.0ms (2.5% of total)

ival-sub: 5.0ms (1.6% of total)

adjust: 3.0ms (0.9% of total)

ival-neg: 3.0ms (0.9% of total)

ival-add: 3.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.005649412949616	4.341075711909287e+37

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch355.0ms (2.5%)

Memory

-9.8MiB live, 70.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
349.0ms	-21.74127114110326	-5.829367309453596e-10

Samples

331.0ms	67×	1	valid
10.0ms	93×	0	valid

Compiler

Compiled 3 042 to 674 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-exp: 7.0ms (27% of total)

ival-mult: 5.0ms (19.3% of total)

ival-sub: 3.0ms (11.6% of total)

ival-div: 3.0ms (11.6% of total)

adjust: 2.0ms (7.7% of total)

ival-neg: 2.0ms (7.7% of total)

ival-add: 2.0ms (7.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch48.0ms (0.3%)

Memory

16.6MiB live, 93.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	4.156553520314625e+215	1.0827618934974225e+220
21.0ms	1.8405499041727598	5227.17336877398

Samples

31.0ms

256×

valid

Compiler

Compiled 1 384 to 952 computations (31.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 6.0ms (26% of total)

ival-exp: 4.0ms (17.3% of total)

ival-add: 4.0ms (17.3% of total)

ival-div: 3.0ms (13% of total)

ival-sub: 3.0ms (13% of total)

ival-neg: 2.0ms (8.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch21.0ms (0.1%)

Memory

-7.0MiB live, 35.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.156553520314625e+215	1.0827618934974225e+220
17.0ms	5227.17336877398	22771.699768746963

Samples

13.0ms

96×

valid

Compiler

Compiled 1 304 to 886 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-exp: 4.0ms (38.5% of total)

ival-mult: 2.0ms (19.2% of total)

ival-div: 1.0ms (9.6% of total)

ival-add: 1.0ms (9.6% of total)

ival-sub: 1.0ms (9.6% of total)

ival-neg: 1.0ms (9.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5227.17336877398	22771.699768746963

Compiler

Compiled 608 to 414 computations (31.9% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5227.17336877398	22771.699768746963

Compiler

Compiled 584 to 396 computations (32.2% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5227.17336877398	22771.699768746963

Compiler

Compiled 590 to 402 computations (31.9% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5227.17336877398	22771.699768746963

Compiler

Compiled 572 to 390 computations (31.8% saved)

bsearch25.0ms (0.2%)

Memory

9.1MiB live, 48.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.3807639370557655e+23	1.8913939716814995e+31

Samples

16.0ms

144×

valid

Compiler

Compiled 860 to 591 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-exp: 3.0ms (24.2% of total)

ival-mult: 3.0ms (24.2% of total)

ival-div: 2.0ms (16.1% of total)

ival-sub: 2.0ms (16.1% of total)

ival-add: 1.0ms (8.1% of total)

ival-neg: 1.0ms (8.1% of total)

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

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

exact: 0.0ms (0% of total)

simplify76.0ms (0.5%)

Memory

-26.6MiB live, 94.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	1926
1	254	1926
2	311	1920
3	369	1920
4	405	1920
5	447	1920
6	494	1920
7	592	1920
8	728	1920
9	831	1920
10	920	1920
11	991	1920
12	1045	1920
13	1081	1920
14	1107	1920
15	1131	1920
16	1153	1920
17	1163	1920
18	1165	1920

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg ( (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)))
(if (<=.f64 eps #s(literal 1/2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 x (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (if (<=.f64 eps #s(literal 5000000000000000486031202442672326724878364240237470927923828819955650261110669617194088753258003880396378339073836923076302170214215142647864457235610681184975154073244321423156615667780219280818176 binary64)) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))))
(if (<=.f64 eps #s(literal 1/2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (if (<=.f64 eps #s(literal 5000000000000000486031202442672326724878364240237470927923828819955650261110669617194088753258003880396378339073836923076302170214215142647864457235610681184975154073244321423156615667780219280818176 binary64)) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))))
(if (<=.f64 eps #s(literal 1/2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (if (<=.f64 eps #s(literal 5000000000000000486031202442672326724878364240237470927923828819955650261110669617194088753258003880396378339073836923076302170214215142647864457235610681184975154073244321423156615667780219280818176 binary64)) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -3270774259330231/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 330 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 #s(approx (neg (* (- 1 eps) x)) (.f64 x eps)))) #s(approx ( (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))))
(if (<=.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (-.f64 #s(approx ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -43/2 binary64)) #s(approx (/ (/ (- (* (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 3) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (pow (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) 3))) (* (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)) (+ (* (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))) (+ (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) (/ (- (exp (neg (log eps))) 1) (exp (+ (* x eps) x))))) (pow (* (pow (exp x) (- eps 1)) (- (pow eps -1) -1)) 2)))) 2) (.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) #s(literal 1/2 binary64))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(if (<=.f64 eps #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (if (<=.f64 eps #s(literal 7999999999999999720675111083860155340742841045008750737368348761526665491192412298537574533654397002377771824129484165821393349119558802310796978843792978763812371140603997519852386784144506232977827287873500041803988992 binary64)) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) (/.f64 (-.f64 #s(approx ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))))
(if (<=.f64 eps #s(literal 5300 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/3 binary64)) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (if (<=.f64 eps #s(literal 7999999999999999720675111083860155340742841045008750737368348761526665491192412298537574533654397002377771824129484165821393349119558802310796978843792978763812371140603997519852386784144506232977827287873500041803988992 binary64)) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) (/.f64 (-.f64 #s(approx ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))))) #s(literal 2 binary64))))
(if (<=.f64 eps #s(literal 5300 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/3 binary64)) x #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))))
(if (<=.f64 eps #s(literal 5300 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (+.f64 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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))))
(if (<=.f64 eps #s(literal 5300 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))))
(if (<=.f64 eps #s(literal 5300 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (+ x 1)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) (fma.f64 #s(approx (+ (* 1/3 x) -1/2) (.f64 #s(literal 1/3 binary64) x)) (.f64 x x) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 8499999999999999588958208 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ 1 x) (exp x))) 1/2) #s(approx (+ (* (+ (* 1/3 x) -1/2) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x) x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))

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

soundness1.9s (13.5%)

Memory

37.5MiB live, 1 649.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	514
0	102	512
1	412	479
2	3149	479
0	8127	462
0	19	94
0	34	94
1	131	89
2	932	86
0	8932	78
0	320	1976
1	1030	1756
2	3509	1560
0	8234	1458
0	1445	70938
1	4948	57801
0	8340	52011
0	73	1001
0	127	905
1	493	726
2	4106	721
0	8421	683
0	63	524
0	96	520
1	378	489
2	2777	489
0	8304	480
0	444	2440
1	1393	2215
2	4478	2021
0	8121	1878
0	481	2614
1	1510	2329
2	4714	2136
0	8224	1984

Stop Event

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

Compiler

Compiled 3 549 to 1 416 computations (60.1% saved)

preprocess90.0ms (0.6%)

Memory: -2.4MiB live, 194.7MiB allocated
Remove: (abs eps)
Compiler: Compiled 4 112 to 542 computations (86.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze34.0ms (0.2%)

sample3.2s (22.4%)

explain672.0ms (4.7%)

preprocess190.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify168.0ms (1.2%)

localize99.0ms (0.7%)

series27.0ms (0.2%)

simplify186.0ms (1.3%)

rewrite202.0ms (1.4%)

eval79.0ms (0.6%)

prune16.0ms (0.1%)

simplify252.0ms (1.8%)

localize345.0ms (2.4%)

series401.0ms (2.8%)

simplify770.0ms (5.4%)

rewrite305.0ms (2.1%)

eval612.0ms (4.3%)

prune105.0ms (0.7%)

simplify283.0ms (2%)

localize223.0ms (1.6%)

series23.0ms (0.2%)

simplify257.0ms (1.8%)

rewrite226.0ms (1.6%)

eval99.0ms (0.7%)

prune34.0ms (0.2%)

simplify121.0ms (0.9%)

localize189.0ms (1.3%)

series15.0ms (0.1%)

simplify188.0ms (1.3%)

rewrite192.0ms (1.4%)

eval84.0ms (0.6%)

prune34.0ms (0.2%)

regimes80.0ms (0.6%)

regimes113.0ms (0.8%)

regimes55.0ms (0.4%)

regimes12.0ms (0.1%)

regimes34.0ms (0.2%)

regimes38.0ms (0.3%)

regimes129.0ms (0.9%)

regimes112.0ms (0.8%)

regimes94.0ms (0.7%)

regimes7.0ms (0%)

regimes113.0ms (0.8%)

regimes4.0ms (0%)

regimes13.0ms (0.1%)

regimes242.0ms (1.7%)

regimes8.0ms (0.1%)

regimes7.0ms (0%)

regimes7.0ms (0%)

bsearch1.0ms (0%)

bsearch327.0ms (2.3%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch641.0ms (4.5%)

bsearch1.0ms (0%)

bsearch355.0ms (2.5%)

bsearch48.0ms (0.3%)

bsearch21.0ms (0.1%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch25.0ms (0.2%)

simplify76.0ms (0.5%)

soundness1.9s (13.5%)

preprocess90.0ms (0.6%)

end0.0ms (0%)

Profiling