Metrics for NMSE Section 6.1 mentioned, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze33.0ms (0.3%)

Memory

-9.9MiB live, 67.3MiB 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)

sample2.4s (21.1%)

Memory

48.4MiB live, 4 330.2MiB allocated

Samples

878.0ms	6 049×	0	valid
867.0ms	2 206×	1	valid
143.0ms	862×	0	exit
6.0ms	18×	1	exit
1.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-mult: 361.0ms (23% of total)

ival-exp: 356.0ms (22.7% of total)

ival-sub: 239.0ms (15.2% of total)

ival-div: 210.0ms (13.4% of total)

ival-add: 179.0ms (11.4% of total)

adjust: 107.0ms (6.8% of total)

ival-neg: 95.0ms (6.1% of total)

exact: 10.0ms (0.6% of total)

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

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain389.0ms (3.4%)

Memory

29.8MiB live, 497.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
71	5	(7.389743009302287e-305 8.301412715239917e-10)	-	`(-.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	76	1

Confusion

	Predicted +	Predicted -
+	71	0
-	5	180

Precision

0.9342105263157895

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	71	0	0
-	5	2	178

Precision?

0.9102564102564102

Recall?

1.0

Freqs

test

number	freq
0	180
1	76

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

93.0ms	144×	1	valid
59.0ms	368×	0	valid

Compiler

Compiled 317 to 61 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-div: 43.0ms (33.8% of total)

ival-add: 29.0ms (22.8% of total)

ival-exp: 20.0ms (15.7% of total)

ival-mult: 15.0ms (11.8% of total)

ival-sub: 9.0ms (7.1% of total)

adjust: 6.0ms (4.7% of total)

ival-neg: 5.0ms (3.9% of total)

ival-true: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

preprocess250.0ms (2.2%)

Memory

5.2MiB live, 319.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 102×	`lower-fma.f64`
11 102×	`lower-fma.f32`
2 706×	`lower-*.f32`
2 698×	`lower-*.f64`
1 598×	`lower--.f32`

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

Symmetry

(abs eps)

Compiler

Compiled 31 to 19 computations (38.7% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.1%	(/.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

▶

73.1%

(/.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 31 to 19 computations (38.7% saved)

simplify219.0ms (1.9%)

Memory

10.7MiB live, 343.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
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))

Rules

11 102×	`lower-fma.f64`
11 102×	`lower-fma.f32`
2 706×	`lower-*.f32`
2 698×	`lower-*.f64`
1 598×	`lower--.f32`

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

localize125.0ms (1.1%)

Memory

-10.4MiB live, 220.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
accuracy	0.012382519536884034	(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
accuracy	0.013513404760301944	(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy	17.195312500000004	(-.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

78.0ms	72×	1	valid
26.0ms	184×	0	valid

Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-div: 26.0ms (40.9% of total)

ival-mult: 13.0ms (20.4% of total)

ival-exp: 10.0ms (15.7% of total)

adjust: 5.0ms (7.9% of total)

ival-sub: 4.0ms (6.3% of total)

ival-add: 3.0ms (4.7% of total)

ival-neg: 3.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory

-22.8MiB live, 52.2MiB allocated

Counts

7 → 168

Calls

Call 1

Inputs
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())
#s(alt (-.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))))) (patch (-.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))))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)) (patch (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (+.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (taylor 0 eps) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ())
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#s(alt (exp (neg (* x (+ 1 (* -1 eps))))) (taylor -inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 (* -1 eps))))) (taylor -inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- eps 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* eps x) x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* eps x) x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* eps x) x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* eps x) x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor 0 eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x)))))) (taylor 0 eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x)))))))) (taylor 0 eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ (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))))))))) (taylor 0 eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 (* -1 eps))))) (taylor -inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 (* -1 eps))))) (taylor -inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 (* -1 eps))))) (taylor -inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 (* -1 eps))))) (taylor -inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x (+ 1 eps)))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (+ x (* eps x)))) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (+ x (* eps x)))) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (+ x (* eps x)))) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (+ x (* eps x)))) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* eps x))) (taylor 0 eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* eps x))) (taylor 0 eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* eps x))) (taylor 0 eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps x)) (taylor inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 x) (/ x eps))) (taylor inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 x) (/ x eps))) (taylor inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 x) (/ x eps))) (taylor inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps x)) (taylor -inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ x (* -1 (/ x eps))))) (taylor -inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ x (* -1 (/ x eps))))) (taylor -inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ x (* -1 (/ x eps))))) (taylor -inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())

Calls

42 calls:

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

simplify291.0ms (2.5%)

Memory

29.4MiB live, 617.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 416×	`lower-fma.f64`
13 416×	`lower-fma.f32`
4 390×	`lower-*.f64`
4 390×	`lower-*.f32`
3 664×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	287	2962
1	920	2564
2	3114	2316
0	8340	2191

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 166

Calls

Call 1

Inputs
(* 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))))))))))))
(* 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)))
(+ (* 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)))
(+ (* 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)))
(* 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)))))))))
(+ (* -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)))))))))
(+ (* -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)))))))))
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))))))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 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))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 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))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (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))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (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)) (* 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 (- 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))))) (/ (exp (neg (* x (+ 1 eps)))) 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 (* -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))))) (* -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))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
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))))))
(- (* (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))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 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))) (* (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))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* -1 x)
(- (* eps x) x)
(- (* eps x) x)
(- (* eps x) x)
(* eps x)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps x)
(* -1 (* eps (- (/ x eps) x)))
(* -1 (* eps (- (/ x eps) x)))
(* -1 (* eps (- (/ x eps) x)))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* -1 (* x (- 1 eps)))
(* -1 (* x (- 1 eps)))
(* -1 (* x (- 1 eps)))
(* -1 (* x (- 1 eps)))
x
(+ x (* eps x))
(+ x (* eps x))
(+ x (* eps x))
(* eps x)
(* eps (+ x (/ x eps)))
(* eps (+ x (/ x eps)))
(* eps (+ x (/ x eps)))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 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 (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 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)))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(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)))))))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
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)))))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
x
(+ x (* -1 (* eps x)))
(+ x (* -1 (* eps x)))
(+ x (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x eps)))
(* eps (+ (* -1 x) (/ x eps)))
(* eps (+ (* -1 x) (/ x eps)))
(* -1 (* eps x))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))

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

rewrite285.0ms (2.5%)

Memory

-3.7MiB live, 637.1MiB allocated

Rules

4 830×	`lower-fma.f64`
4 830×	`lower-fma.f32`
3 930×	`lower-/.f32`
3 926×	`lower-/.f64`
3 926×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	86
0	34	86
1	131	82
2	932	79
0	8931	73

Stop Event

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

Counts

7 → 464

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

eval92.0ms (0.8%)

Memory: 11.5MiB live, 245.9MiB allocated
Compiler: Compiled 31 250 to 2 461 computations (92.1% saved)

prune112.0ms (1%)

Memory

-20.8MiB live, 217.4MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	623	7	630
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	624	7	631

Accuracy

100.0%

Counts

631 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.1%	(/.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)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))) #s(literal 2 binary64))
▶	38.5%	(/.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))) #s(literal 1 binary64)))) #s(literal 2 binary64))
▶	35.0%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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))
	73.1%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
▶	73.3%	#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 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64)))
▶	58.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
▶	43.6%	#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 380 to 202 computations (46.8% saved)

simplify242.0ms (2.1%)

Memory

2.3MiB live, 404.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	64	(/.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))) #s(literal 1 binary64)))) #s(literal 2 binary64))
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)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64))))
cost-diff	320	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 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))) #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	128	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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	320	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64)))
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
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 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
cost-diff	128	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
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	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) #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) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64)))
cost-diff	192	(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))
cost-diff	576	(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))

Rules

9 624×	`lower-fma.f32`
9 618×	`lower-fma.f64`
4 220×	`lower--.f32`
4 210×	`lower--.f64`
3 096×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	697
0	110	697
1	219	683
2	679	670
3	3434	646
4	6518	646
0	8151	628

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

localize388.0ms (3.4%)

Memory

4.7MiB live, 747.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
accuracy	0.013513404760301944	(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
accuracy	17.195312500000004	(-.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))) #s(literal 1 binary64))))
accuracy	36.31954360052654	#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))
accuracy	0.00390625	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
accuracy	0.012382519536884034	(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
accuracy	17.195312500000004	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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	36.319607887178556	#s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0.00390625	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
accuracy	0.0078125	(+.f64 (+.f64 x #s(literal 2 binary64)) x)
accuracy	26.279335667235006	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
accuracy	36.072263074831405	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
accuracy	2.1372361604152466	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
accuracy	3.295461958388008	(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))))
accuracy	19.533382095057963	#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 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64)))
accuracy	27.848106632454805	(fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))

Samples

172.0ms	139×	1	valid
116.0ms	117×	2	valid

Compiler

Compiled 621 to 46 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-exp: 59.0ms (26.5% of total)

adjust: 57.0ms (25.6% of total)

ival-mult: 37.0ms (16.6% of total)

ival-add: 33.0ms (14.8% of total)

ival-div: 16.0ms (7.2% of total)

ival-sub: 14.0ms (6.3% of total)

ival-neg: 5.0ms (2.2% of total)

exact: 1.0ms (0.4% of total)

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

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

series89.0ms (0.8%)

Memory

4.8MiB live, 125.3MiB allocated

Counts

24 → 504

Calls

Call 1

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

Outputs
#s(alt 0 (taylor 0 eps) (#s(alt (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))) (patch (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
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#s(alt 0 (taylor inf eps) (#s(alt (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))) (patch (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
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#s(alt 0 (taylor -inf eps) (#s(alt (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))) (patch (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf eps) (#s(alt (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))) (patch (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) (patch (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) (patch (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) (patch (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))) (taylor 0 x) (#s(alt (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) (patch (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) (patch (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) (patch (fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) #<representation binary64>) () ())) ())
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#s(alt (exp (neg (* x (- 1 eps)))) (taylor inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 (* -1 eps))))) (taylor -inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 (* -1 eps))))) (taylor -inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 (* -1 eps))))) (taylor -inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (+ 1 (* -1 eps))))) (taylor -inf eps) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- eps 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* eps x) x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* eps x) x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* eps x) x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* eps x) x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (exp (neg (* x (- 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) (patch (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* eps x))) (taylor 0 eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* eps x))) (taylor 0 eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* eps x))) (taylor 0 eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps x)) (taylor inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 x) (/ x eps))) (taylor inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 x) (/ x eps))) (taylor inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* -1 x) (/ x eps))) (taylor inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps x)) (taylor -inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ x (* -1 (/ x eps))))) (taylor -inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ x (* -1 (/ x eps))))) (taylor -inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (+ x (* -1 (/ x eps))))) (taylor -inf eps) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 eps)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) eps) x) (patch (.f64 (-.f64 #s(literal 1 binary64) eps) x) #<representation binary64>) () ())) ())

Calls

126 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))
3.0ms	x	@	inf	(+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))
1.0ms	eps	@	inf	(+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))
1.0ms	eps	@	inf	(+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))
1.0ms	eps	@	0	(+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))

simplify290.0ms (2.5%)

Memory

18.2MiB live, 629.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 620×	`lower-fma.f64`
10 620×	`lower-fma.f32`
6 174×	`lower-*.f64`
6 174×	`lower-*.f32`
2 568×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	470	11010
1	1502	9616
2	4853	9133
0	8282	8597

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 502

Calls

Call 1

Inputs
0
0
0
0
0
0
0
0
0
0
0
0
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* -1 x)
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* 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))))))))))))
(* 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)))
(+ (* 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)))
(+ (* 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)))
(* 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)))))))))
(+ (* -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)))))))))
(+ (* -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)))))))))
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))))))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 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))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 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))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (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))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (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))))
1
(+ 1 (* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))
(+ 1 (* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))
(+ 1 (* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))
(* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
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1
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(/ (+ (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)
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2
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(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
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(* -1 x)
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(- (* eps x) x)
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(* eps x)
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(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps x)
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(* x (- eps 1))
(* x (- eps 1))
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(* x (- eps 1))
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(* -1 (* x (- 1 eps)))
(* -1 (* x (- 1 eps)))
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(+ (* 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))))))))))
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(* 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)))
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(+ (* -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)))))))))
(+ (* -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)))))))))
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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))))))))
(+ 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))))))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 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))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 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))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (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))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (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))))
-2
(- (* 2 (pow eps 2)) 2)
(- (* 2 (pow eps 2)) 2)
(- (* 2 (pow eps 2)) 2)
(* 2 (pow eps 2))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* 2 (pow eps 2))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 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))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
1
(+ 1 (* x (- eps 1)))
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(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
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(exp (neg x))
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
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(exp (neg (* x (+ 1 eps))))
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(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
1
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1
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(exp (neg (* x (+ 1 (* -1 eps)))))
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(exp (neg (* x (+ 1 (* -1 eps)))))
1
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(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
x
(+ x (* -1 (* eps x)))
(+ x (* -1 (* eps x)))
(+ x (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x eps)))
(* eps (+ (* -1 x) (/ x eps)))
(* eps (+ (* -1 x) (/ x eps)))
(* -1 (* eps x))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* -1 (* eps (+ x (* -1 (/ x eps)))))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))
(* x (- 1 eps))

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

rewrite312.0ms (2.7%)

Memory

15.1MiB live, 686.8MiB allocated

Rules

4 196×	`lower-*.f32`
4 174×	`lower-*.f64`
3 932×	`lower-fma.f32`
3 926×	`lower-fma.f64`
3 266×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	530
0	110	530
1	435	506
2	4365	506
0	8415	498

Stop Event

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

Counts

24 → 480

Calls

Call 1

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

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

eval165.0ms (1.4%)

Memory: -5.7MiB live, 480.2MiB allocated
Compiler: Compiled 42 406 to 2 306 computations (94.6% saved)

prune153.0ms (1.3%)

Memory

-44.6MiB live, 348.7MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	968	14	982
Fresh	2	0	2
Picked	4	1	5
Done	0	0	0
Total	974	15	989

Accuracy

100.0%

Counts

989 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.3%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (.f64 x #s(literal 1/6 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 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))) #s(literal 1 binary64)))) #s(literal 2 binary64))
	35.0%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x (+.f64 eps #s(literal 1 binary64)))))) #s(literal 2 binary64))
▶	28.3%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))) #s(literal 2 binary64))
	32.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
	38.5%	(.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.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))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
▶	35.0%	(.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal 1/2 binary64))
	35.0%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)))))) #s(literal -1 binary64)))
	58.8%	#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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 (.f64 (-.f64 x (/.f64 x (*.f64 eps eps))) eps) eps)) #s(literal 1 binary64)))
▶	73.2%	#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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal 1 binary64)))
	69.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (+ x 2) x) #s(literal 2 binary64)))))
▶	53.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
▶	43.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
	37.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
	53.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	43.6%	#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 670 to 375 computations (44% saved)

simplify422.0ms (3.7%)

Memory

1.3MiB live, 316.4MiB 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 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal 1/2 binary64))
cost-diff	128	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x))))
cost-diff	320	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64)))
cost-diff	128	(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps))
cost-diff	128	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))))
cost-diff	320	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64)))
cost-diff	896	(fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
cost-diff	0	#s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
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 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
cost-diff	128	(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
cost-diff	0	#s(approx (exp (neg x)) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
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 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
cost-diff	128	(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
cost-diff	0	#s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #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) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal 1 binary64)))

Rules

10 852×	`lower-fma.f32`
10 838×	`lower-fma.f64`
3 042×	`lower-+.f32`
3 032×	`lower-+.f64`
2 942×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	936
0	124	937
1	296	929
2	972	863
3	4023	840
0	8079	805

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

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

localize719.0ms (6.2%)

Memory

17.3MiB live, 691.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)))
accuracy	0.012382519536884034	(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))
accuracy	17.195312500000004	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x))))
accuracy	36.31960788717851	#s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))
accuracy	8.21868601073638	(fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
accuracy	17.195312500000004	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))))
accuracy	27.865874520525878	#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
accuracy	36.31960788717851	#s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))
accuracy	0.00390625	(*.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
accuracy	0.0078125	(+.f64 (+.f64 x #s(literal 2 binary64)) x)
accuracy	23.72079114694053	#s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	26.279335667235006	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
accuracy	0.00390625	(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
accuracy	0.0078125	(+.f64 (+.f64 x #s(literal 2 binary64)) x)
accuracy	26.279335667235006	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
accuracy	27.41363262323011	#s(approx (exp (neg x)) #s(literal 1 binary64))
accuracy	2.1372361604152466	(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal 1 binary64))
accuracy	6.0015863193860035	(.f64 x (.f64 eps eps))
accuracy	19.533382095057963	#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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal 1 binary64)))
accuracy	28.822750363215835	#s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps)))

Samples

532.0ms	146×	1	valid
77.0ms	110×	0	valid

Compiler

Compiled 671 to 70 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 547.0ms

ival-mult: 240.0ms (43.8% of total)

ival-exp: 179.0ms (32.7% of total)

ival-add: 58.0ms (10.6% of total)

adjust: 38.0ms (6.9% of total)

ival-div: 15.0ms (2.7% of total)

ival-sub: 8.0ms (1.5% of total)

const: 5.0ms (0.9% of total)

ival-neg: 4.0ms (0.7% of total)

exact: 1.0ms (0.2% of total)

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

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

series60.0ms (0.5%)

Memory

0.9MiB live, 124.4MiB allocated

Counts

25 → 492

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (taylor 0 eps) (#s(alt #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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal 1 binary64))) (patch #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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 eps) (#s(alt #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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal 1 binary64))) (patch #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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1)) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x))) (patch (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1)) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x))) (patch (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x))) #<representation binary64>) () ())) ())

Calls

123 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	-inf	(* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2)
3.0ms	eps	@	inf	(+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))
2.0ms	x	@	-inf	(* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2)
1.0ms	eps	@	0	(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))))
1.0ms	x	@	0	(+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))

simplify317.0ms (2.7%)

Memory

-3.1MiB live, 538.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 076×	`lower-fma.f64`
11 076×	`lower-fma.f32`
5 934×	`lower-*.f64`
5 934×	`lower-*.f32`
4 514×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	729	10165
1	2464	9013
0	8084	8590

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
(* 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))))))))))))
(* 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)))
(+ (* 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)))
(+ (* 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)))
(* 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)))))))))
(+ (* -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)))))))))
(+ (* -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)))))))))
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))))))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 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))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 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))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (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))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (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))))
1
(+ 1 (* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))
(+ 1 (* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))
(+ 1 (* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))
(* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* -1 x)
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
1
(+ 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)))
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) 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))))))))))))
(* 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)))
(+ (* 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)))
(+ (* 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)))
(* 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)))))))))
(+ (* -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)))))))))
(+ (* -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)))))))))
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))))))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 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))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 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))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (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))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (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))))
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)))
(* 2 (* x (exp (neg x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* 2 (* x (exp (* -1 x))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
1
(+ 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)))
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
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2
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(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* 1/2 (/ (- (exp (neg x)) (exp (* -1 x))) eps))
(/ (+ (* 1/2 (* eps (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x)))))))) (* 1/2 (- (exp (neg x)) (exp (* -1 x))))) eps)
(/ (+ (* 1/2 (- (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (- (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x)))))))))) eps)
(/ (+ (* 1/2 (- (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x))))))) (* eps (+ (* 1/2 (* eps (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (* -1 x)))) (* -1/6 (* (pow x 3) (exp (* -1 x)))))))) (* 1/2 (- (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))))))) eps)
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (* -1 (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (* -1 (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (* -1 (* x (+ 1 eps))))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (* -1 (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (* -1 (* x (+ 1 eps))))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (* -1 (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (* -1 (* x (+ 1 eps))))) eps)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (* x (- (* -1 eps) 1))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (* x (- (* -1 eps) 1)))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (* x (- (* -1 eps) 1)))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (* x (- (* -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))))))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(/ 1 eps)
(/ (+ 1 eps) eps)
(/ (+ 1 eps) eps)
(/ (+ 1 eps) eps)
1
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))
1
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 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))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 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)))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(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)))))))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
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)))))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
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)))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(/ (exp (* -1 x)) eps)
(/ (+ (exp (* -1 x)) (* eps (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x))))))) eps)
(/ (+ (exp (* -1 x)) (* eps (+ (* -1 (exp (* -1 x))) (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))))) eps)
(/ (+ (exp (* -1 x)) (* eps (+ (* -1 (exp (* -1 x))) (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (* -1 x)))) (* -1/6 (* (pow x 3) (exp (* -1 x)))))) (* x (exp (* -1 x)))))))))) eps)
(* -1 (exp (* -1 (* x (+ 1 eps)))))
(+ (* -1 (exp (* -1 (* x (+ 1 eps))))) (/ (exp (* -1 (* x (+ 1 eps)))) eps))
(+ (* -1 (exp (* -1 (* x (+ 1 eps))))) (/ (exp (* -1 (* x (+ 1 eps)))) eps))
(+ (* -1 (exp (* -1 (* x (+ 1 eps))))) (/ (exp (* -1 (* x (+ 1 eps)))) eps))
(* -1 (exp (* x (- (* -1 eps) 1))))
(+ (* -1 (exp (* x (- (* -1 eps) 1)))) (/ (exp (* x (- (* -1 eps) 1))) eps))
(+ (* -1 (exp (* x (- (* -1 eps) 1)))) (/ (exp (* x (- (* -1 eps) 1))) eps))
(+ (* -1 (exp (* x (- (* -1 eps) 1)))) (/ (exp (* x (- (* -1 eps) 1))) eps))
(- (/ 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)
(* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (* -1 (* x (+ 1 eps)))) (- (/ 1 eps) 1))

Outputs
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 x (exp.f64 (neg.f64 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))))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 eps eps) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (.f64 #s(literal -1/2 binary64) x) (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64))))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (exp.f64 (neg.f64 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))))))))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) eps) (fma.f64 (.f64 eps eps) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64))))) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (.f64 #s(literal -1/2 binary64) x) (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64)))))) (.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (exp.f64 (neg.f64 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))))))))))))
(fma.f64 (.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (.f64 #s(literal -1/2 binary64) x) (.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) eps) (fma.f64 (.f64 eps eps) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))))) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64)))))))) (.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (exp.f64 (neg.f64 x))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) 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)))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (-.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) 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)))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (-.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) 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)))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (-.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) 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)))))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (-.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) 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)))))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (-.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) 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)))))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (-.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps)))
1
#s(literal 1 binary64)
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rewrite302.0ms (2.6%)

Memory

14.2MiB live, 687.5MiB allocated

Rules

5 860×	`lower-fma.f32`
5 846×	`lower-fma.f64`
5 390×	`lower-*.f32`
5 358×	`lower-*.f64`
2 416×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	648
0	122	633
1	569	613
2	6025	613
0	8963	601

Stop Event

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

Counts

25 → 355

Calls

Call 1

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

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

eval165.0ms (1.4%)

Memory: -22.5MiB live, 509.1MiB allocated
Compiler: Compiled 36 344 to 2 337 computations (93.6% saved)

prune136.0ms (1.2%)

Memory

9.7MiB live, 380.7MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	954	19	973
Fresh	4	5	9
Picked	4	1	5
Done	0	1	1
Total	962	26	988

Accuracy

100.0%

Counts

988 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.3%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (.f64 x #s(literal 1/6 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 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))) #s(literal 1 binary64)))) #s(literal 2 binary64))
	30.6%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) x) (fma.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 eps x x) (-.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))))) #s(literal 2 binary64))
	28.3%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x #s(approx (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps)))) (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 x (+.f64 eps #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))) #s(literal 2 binary64))
	28.3%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x #s(approx (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps)))) (.f64 (.f64 eps eps) (.f64 x (.f64 eps #s(literal -1/6 binary64))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))) #s(literal 2 binary64))
	27.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))) eps)))) #s(literal 1 binary64))))) #s(literal 2 binary64))
	34.0%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 x (*.f64 x #s(literal -1/6 binary64)))))) #s(literal 1 binary64))))) #s(literal 2 binary64))
▶	30.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #s(literal 1 binary64))))) #s(literal 2 binary64))
	24.8%	(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))) #s(literal 2 binary64))
	38.5%	(.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.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))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
	35.0%	(.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))) #s(literal 1/2 binary64))
▶	33.0%	(.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1/2 binary64))
	35.0%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)))))) #s(literal -1 binary64)))
▶	72.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	73.2%	#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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal 1 binary64)))
	48.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal -1 binary64))))
	41.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))))))
	48.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal -1 binary64)))))
▶	12.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (*.f64 x #s(literal 2 binary64))))))
	43.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x x) #s(literal 2 binary64)))))
	3.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (+ (+ x 2) x) (*.f64 x #s(literal 2 binary64))))))
	49.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 x (.f64 eps eps))) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
	37.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
	53.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	53.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
✓	43.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
▶	18.4%	#s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 binary64))

Compiler

Compiled 1 458 to 733 computations (49.7% saved)

simplify193.0ms (1.7%)

Memory

10.8MiB live, 360.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
cost-diff	0	(.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1/2 binary64))
cost-diff	320	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64)))
cost-diff	64	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #s(literal 1 binary64))))) #s(literal 2 binary64))
cost-diff	128	(.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))
cost-diff	128	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #s(literal 1 binary64)))))
cost-diff	320	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (.f64 x #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (*.f64 x #s(literal 2 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 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (*.f64 x #s(literal 2 binary64))))))
cost-diff	128	(*.f64 x #s(literal 2 binary64))
cost-diff	0	#s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 binary64))
cost-diff	0	#s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))
cost-diff	0	(.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 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) (fma.f64 (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

Rules

10 260×	`lower-fma.f32`
10 250×	`lower-fma.f64`
2 926×	`lower-+.f32`
2 924×	`lower-*.f32`
2 922×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	1062
0	129	1063
1	305	1056
2	960	991
3	4126	929
0	8084	900

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

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

localize559.0ms (4.8%)

Memory

-1.3MiB live, 600.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.012382519536884034	(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
accuracy	17.195312500000004	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
accuracy	19.40034435349313	#s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
accuracy	36.31960788717851	#s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))
accuracy	17.195312500000004	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #s(literal 1 binary64)))))
accuracy	25.99371728036099	#s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)))))
accuracy	27.865874520525878	#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #s(literal 1 binary64)))
accuracy	36.31960788717851	#s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))
accuracy	0.00390625	(.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (.f64 x #s(literal 2 binary64))))
accuracy	23.72079114694053	#s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	26.279335667235006	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (*.f64 x #s(literal 2 binary64))))))
accuracy	35.61595798272138	#s(approx (+ (+ x 2) x) (*.f64 x #s(literal 2 binary64)))
accuracy	52.24179778971982	#s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 binary64))
accuracy	0.11328125	(.f64 eps (.f64 eps x))
accuracy	2.1372361604152466	(fma.f64 (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy	19.533382095057963	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
accuracy	28.822750363215835	#s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))

Samples

311.0ms	146×	1	valid
59.0ms	110×	0	valid

Compiler

Compiled 663 to 79 computations (88.1% saved)

Precisions

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

ival-add: 96.0ms (29.8% of total)

ival-mult: 86.0ms (26.7% of total)

ival-div: 42.0ms (13% of total)

adjust: 41.0ms (12.7% of total)

ival-exp: 40.0ms (12.4% of total)

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

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

const: 5.0ms (1.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series59.0ms (0.5%)

Memory

10.3MiB live, 87.8MiB allocated

Counts

24 → 504

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) (patch #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 binary64)) (patch #s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (.f64 x #s(literal 2 binary64)))))) (patch #s(approx (/ (- ( (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (*.f64 x #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (.f64 x #s(literal 2 binary64))))) (patch (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (.f64 x #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (.f64 x #s(literal 2 binary64)))) (patch (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64))) (patch (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #s(literal 1 binary64))))) (patch (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (fma.f64 x eps x) (fma.f64 x eps x)))) (patch (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (fma.f64 x eps x) (fma.f64 x eps x)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #s(literal 1 binary64))))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #s(literal 1 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (patch (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #<representation binary64>) () ())
#s(alt (.f64 eps (.f64 eps x)) (patch (.f64 eps (.f64 eps x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ x 2) x) (.f64 x #s(literal 2 binary64))) (patch #s(approx (+ (+ x 2) x) (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) (patch #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #s(literal 1 binary64))) (patch #s(approx (exp (neg ( (+ 1 eps) x))) (fma.f64 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) (patch #s(approx (+ ( x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))) (patch #s(approx ( (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #<representation binary64>) () ())
#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (taylor 0 eps) (#s(alt #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (patch #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) (taylor 0 x) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))) (taylor 0 x) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* x (+ 1 eps)))) (taylor inf x) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* x (+ 1 eps)))) (taylor inf x) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* x (+ 1 eps)))) (taylor inf x) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* x (+ 1 eps)))) (taylor inf x) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* x (+ 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* x (+ 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* x (+ 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* x (+ 1 eps)))) (taylor -inf x) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor 0 eps) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) (taylor 0 eps) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) (taylor 0 eps) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) (taylor 0 eps) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* x (+ 1 eps)))) (taylor inf eps) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* x (+ 1 eps)))) (taylor inf eps) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* x (+ 1 eps)))) (taylor inf eps) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* x (+ 1 eps)))) (taylor inf eps) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (- (* -1 eps) 1))) (taylor -inf eps) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (- (* -1 eps) 1))) (taylor -inf eps) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (- (* -1 eps) 1))) (taylor -inf eps) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (- (* -1 eps) 1))) (taylor -inf eps) (#s(alt (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (patch (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #<representation binary64>) () ())) ())

Calls

126 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	(* -1/6 (* (+ eps 1) (* (+ (* x eps) x) (+ (* x eps) x))))
1.0ms	x	@	-inf	(* -1/6 (* (+ eps 1) (* (+ (* x eps) x) (+ (* x eps) x))))
1.0ms	x	@	inf	(* -1/6 (* (+ eps 1) (* (+ (* x eps) x) (+ (* x eps) x))))
0.0ms	eps	@	-inf	(* -1/6 (* (+ eps 1) (* (+ (* x eps) x) (+ (* x eps) x))))
0.0ms	eps	@	0	(* -1/6 (* (+ eps 1) (* (+ (* x eps) x) (+ (* x eps) x))))

simplify313.0ms (2.7%)

Memory

8.8MiB live, 525.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 620×	`lower-fma.f64`
11 620×	`lower-fma.f32`
6 014×	`lower-*.f64`
6 014×	`lower-*.f32`
4 120×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	716	11066
1	2414	9762
2	7921	9762
0	8057	9342

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

Inputs
(* 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))))))))))))
(* 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)))
(+ (* 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)))
(+ (* 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)))
(* 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)))))))))
(+ (* -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)))))))))
(+ (* -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)))))))))
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))))))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 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))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 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))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (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))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (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))))
1
(+ 1 (* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))
(+ 1 (* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))
(+ 1 (* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))
(* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* -1/2 x)
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* -1 x)
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* 1/2 (/ (- (exp (neg x)) (exp (* -1 x))) eps))
(/ (+ (* 1/2 (* eps (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x)))))))) (* 1/2 (- (exp (neg x)) (exp (* -1 x))))) eps)
(/ (+ (* 1/2 (- (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (- (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x)))))))))) eps)
(/ (+ (* 1/2 (- (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x))))))) (* eps (+ (* 1/2 (* eps (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (* -1 x)))) (* -1/6 (* (pow x 3) (exp (* -1 x)))))))) (* 1/2 (- (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))))))) eps)
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (* -1 (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (* -1 (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (* -1 (* x (+ 1 eps))))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (* -1 (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (* -1 (* x (+ 1 eps))))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (* -1 (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (* -1 (* x (+ 1 eps))))) eps)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (* x (- (* -1 eps) 1))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (* x (- (* -1 eps) 1)))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (* x (- (* -1 eps) 1)))))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (* x (- (* -1 eps) 1)))))))
1
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2
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(/ 1 eps)
(/ (+ 1 eps) eps)
(/ (+ 1 eps) eps)
(/ (+ 1 eps) eps)
1
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1
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(* (pow eps 2) x)
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2
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1
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(* -1/6 (* (pow eps 3) (pow x 2)))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (- (* -1/6 (+ (* -2 x) (* -1 x))) 1))) eps)) (* x (+ 1/2 (* -1/6 (+ x (* 2 x)))))) eps)) (* 1/6 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (- (* x (+ 1/2 (* -1/6 x))) 1) eps)) (* x (- (* -1/6 (+ (* -2 x) (* -1 x))) 1)))) eps)) (* x (+ 1/2 (* -1/6 (+ x (* 2 x)))))) eps)) (* 1/6 (pow x 2)))))
(/ (exp (* -1 x)) eps)
(/ (+ (exp (* -1 x)) (* eps (+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x))))))) eps)
(/ (+ (exp (* -1 x)) (* eps (+ (* -1 (exp (* -1 x))) (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))))) eps)
(/ (+ (exp (* -1 x)) (* eps (+ (* -1 (exp (* -1 x))) (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (* -1 x)))) (* -1/6 (* (pow x 3) (exp (* -1 x)))))) (* x (exp (* -1 x)))))))))) eps)
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1
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(exp (* x (- (* -1 eps) 1)))

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

rewrite585.0ms (5.1%)

Memory

-22.8MiB live, 582.6MiB allocated

Rules

5 762×	`lower-fma.f32`
5 752×	`lower-fma.f64`
5 472×	`lower-*.f32`
5 446×	`lower-*.f64`
2 494×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	832
0	129	802
1	597	781
2	6179	781
0	9182	755

Stop Event

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

Counts

24 → 226

Calls

Call 1

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

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

eval138.0ms (1.2%)

Memory: 6.5MiB live, 361.4MiB allocated
Compiler: Compiled 27 456 to 1 615 computations (94.1% saved)

prune125.0ms (1.1%)

Memory

-15.8MiB live, 421.9MiB allocated

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	818	7	825
Fresh	6	13	19
Picked	2	3	5
Done	0	2	2
Total	826	25	851

Accuracy

100.0%

Counts

851 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.3%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) (fma.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (.f64 x #s(literal 1/6 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 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))) #s(literal 1 binary64)))) #s(literal 2 binary64))
	30.6%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) x) (fma.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 eps x x) (-.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))))) #s(literal 2 binary64))
	28.3%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x #s(approx (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps)))) (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 x (+.f64 eps #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))) #s(literal 2 binary64))
	28.3%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x #s(approx (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps)))) (.f64 (.f64 eps eps) (.f64 x (.f64 eps #s(literal -1/6 binary64))))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))) #s(literal 2 binary64))
	27.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) eps)))) #s(literal 1 binary64))))) #s(literal 2 binary64))
	27.2%	(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #s(literal 1 binary64))))) #s(literal 2 binary64))
	38.5%	(.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.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))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
	33.0%	(.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x))))) #s(literal 1/2 binary64))
	26.2%	(.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 #s(approx (exp (* x (- -1 eps))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 x eps x) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))))) #s(literal 1/2 binary64))
	61.8%	(.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 1/2 binary64))
	35.0%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)))))) #s(literal -1 binary64)))
✓	72.9%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	73.2%	#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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal 1 binary64)))
	48.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal -1 binary64))))
	41.7%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))))))
	48.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal -1 binary64)))))
✓	12.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (*.f64 x #s(literal 2 binary64))))))
	43.2%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x x) #s(literal 2 binary64)))))
	3.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (+ (+ x 2) x) (*.f64 x #s(literal 2 binary64))))))
	49.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 x (.f64 eps eps))) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
	37.1%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) 1/2) x) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
	53.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	53.0%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
✓	43.6%	#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))
✓	18.4%	#s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 binary64))

Compiler

Compiled 1 946 to 615 computations (68.4% saved)

regimes98.0ms (0.8%)

Memory

9.0MiB live, 180.8MiB allocated

Counts

48 → 2

Calls

Call 1

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

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

Calls

4 calls:

54.0ms	x
14.0ms	eps
14.0ms	(-.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
97.2%	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 66 to 40 computations (39.4% saved)

regimes41.0ms (0.4%)

Memory

1.0MiB live, 120.5MiB allocated

Counts

47 → 2

Calls

Call 1

Inputs
#s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 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) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (+ (+ x 2) x) (*.f64 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 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x 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 (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #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 (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #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 (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) 1/2) x) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #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(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 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 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (*.f64 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 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 (.f64 (-.f64 x (/.f64 x (*.f64 eps eps))) eps) eps)) #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))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 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) #s(approx (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 x (.f64 eps eps))) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 x (.f64 eps eps))) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x 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) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps 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))) #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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 x (*.f64 x #s(literal -1/6 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))) #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 x (fma.f64 x #s(approx (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps)))) (.f64 (.f64 eps eps) (.f64 x (.f64 eps #s(literal -1/6 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)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 #s(approx (exp (* x (- -1 eps))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 x eps x) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))))) #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))) #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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.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))) #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 x (fma.f64 x #s(approx (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps)))) (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 x (+.f64 eps #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 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)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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))) #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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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))) #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 x (fma.f64 (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) x) (fma.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 eps x 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)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.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 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (+ x 2) 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 x (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (.f64 x #s(literal 1/6 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 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))) #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 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#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 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #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))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) 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 (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))))))
(.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal 1/2 binary64))
(.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.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))) #s(literal 1 binary64)))) #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))) #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))) #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))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x 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))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x 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))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x (+.f64 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)))) (.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))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)))))) #s(literal -1 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)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x 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 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) 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)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))) #s(literal 2 binary64))

Calls

3 calls:

13.0ms

eps

12.0ms

(-.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
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 63 to 38 computations (39.7% saved)

regimes79.0ms (0.7%)

Memory

-6.7MiB live, 113.9MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
#s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 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) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (+ (+ x 2) x) (*.f64 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 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x 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 (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #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 (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #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 (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) 1/2) x) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #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(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 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 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (*.f64 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 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 (.f64 (-.f64 x (/.f64 x (*.f64 eps eps))) eps) eps)) #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))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 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) #s(approx (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 x (.f64 eps eps))) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 x (.f64 eps eps))) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x 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) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps 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))) #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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 x (*.f64 x #s(literal -1/6 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))) #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 x (fma.f64 x #s(approx (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps)))) (.f64 (.f64 eps eps) (.f64 x (.f64 eps #s(literal -1/6 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)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 #s(approx (exp (* x (- -1 eps))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 x eps x) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))))) #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))) #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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.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))) #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 x (fma.f64 x #s(approx (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps)))) (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 x (+.f64 eps #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 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)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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))) #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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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))) #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 x (fma.f64 (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) x) (fma.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 eps x 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)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.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 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (+ x 2) 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 x (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (.f64 x #s(literal 1/6 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 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))) #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 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#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 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #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))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) 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 (fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))))))
(.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal 1/2 binary64))
(.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.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))) #s(literal 1 binary64)))) #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))) #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))) #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))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x 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))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x 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))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x (+.f64 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)))) (.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))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 (-.f64 #s(literal -1 binary64) eps) 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 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) 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))

Calls

3 calls:

52.0ms

eps

12.0ms

(/.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))

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)))))

Results

Accuracy	Segments	Branch
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 63 to 38 computations (39.7% saved)

regimes69.0ms (0.6%)

Memory

-10.4MiB live, 148.5MiB allocated

Counts

44 → 2

Calls

Call 1

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

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

Calls

4 calls:

28.0ms	(-.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)))))
14.0ms	eps
12.0ms	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
86.2%	4	`x`
89.2%	2	`eps`
91.5%	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))`
91.5%	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)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes19.0ms (0.2%)

Memory

23.6MiB live, 62.4MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 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) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (+ (+ x 2) x) (*.f64 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 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x 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 (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #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 (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #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 (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) 1/2) x) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #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(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 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 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (*.f64 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 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 (.f64 (-.f64 x (/.f64 x (*.f64 eps eps))) eps) eps)) #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))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 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) #s(approx (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 x (.f64 eps eps))) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 x (.f64 eps eps))) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x 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) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps 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))) #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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 x (*.f64 x #s(literal -1/6 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))) #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 x (fma.f64 x #s(approx (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps)))) (.f64 (.f64 eps eps) (.f64 x (.f64 eps #s(literal -1/6 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)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 #s(approx (exp (* x (- -1 eps))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 x eps x) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))))) #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))) #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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.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))) #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 x (fma.f64 x #s(approx (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps)))) (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 x (+.f64 eps #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 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)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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))) #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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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))) #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 x (fma.f64 (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) x) (fma.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 eps x 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)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.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 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (+ x 2) 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 x (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (.f64 x #s(literal 1/6 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 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))) #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 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))

Outputs

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

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

Calls

2 calls:

8.0ms

(/.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

(-.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
91.5%	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))`
91.5%	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)))))`

Compiler

Compiled 60 to 36 computations (40% saved)

regimes23.0ms (0.2%)

Memory

-18.7MiB live, 63.3MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
#s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 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) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (+ (+ x 2) x) (*.f64 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 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x 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 (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #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 (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #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 (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) 1/2) x) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #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(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 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 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (*.f64 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 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 (.f64 (-.f64 x (/.f64 x (*.f64 eps eps))) eps) eps)) #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))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 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) #s(approx (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 x (.f64 eps eps))) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 x (.f64 eps eps))) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x 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) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps 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))) #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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 x (*.f64 x #s(literal -1/6 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))) #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 x (fma.f64 x #s(approx (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps)))) (.f64 (.f64 eps eps) (.f64 x (.f64 eps #s(literal -1/6 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)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 #s(approx (exp (* x (- -1 eps))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 x eps x) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))))) #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))) #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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.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))) #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 x (fma.f64 x #s(approx (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps)))) (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 x (+.f64 eps #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 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)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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))) #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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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))) #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 x (fma.f64 (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) x) (fma.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 eps x 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)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.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 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (+ x 2) 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 x (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (.f64 x #s(literal 1/6 binary64)) (.f64 (+.f64 #s(literal -1 binary64) eps) (.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal 1/2 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))) #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 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (+ x 2) 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 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))

Calls

2 calls:

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))

9.0ms

(-.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
91.2%	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))`
91.2%	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 60 to 36 computations (40% saved)

regimes39.0ms (0.3%)

Memory

-1.6MiB live, 113.8MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
#s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 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) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (+ (+ x 2) x) (*.f64 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 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (+.f64 (+.f64 x 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 (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #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 (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #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 (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) 1/2) x) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #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(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal 1/2 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 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (+ x 2) x) (*.f64 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 #s(literal 1/2 binary64) (.f64 #s(approx (exp (neg x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
#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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 (.f64 (-.f64 x (/.f64 x (*.f64 eps eps))) eps) eps)) #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))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 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) #s(approx (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 x (.f64 eps eps))) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) 1/2) x) 1) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 x (.f64 eps eps))) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))) eps) eps)))
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x 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) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x))) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 eps (.f64 eps 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))) #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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps eps) (.f64 eps (.f64 x (*.f64 x #s(literal -1/6 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))) #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 x (fma.f64 x #s(approx (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps)))) (.f64 (.f64 eps eps) (.f64 x (.f64 eps #s(literal -1/6 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)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x))) (neg.f64 #s(approx (exp (* x (- -1 eps))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 x eps x) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))))) #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))) #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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 #s(literal -1/6 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.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))) #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 x (fma.f64 x #s(approx (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps)))) (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 x (+.f64 eps #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 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)) #s(approx (exp (neg ( (- 1 eps) 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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 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))) #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 x #s(approx (+ (* x (+ (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ (* x eps) x)))) (* 1/2 (* (+ 1 eps) (+ 1 eps))))) (- -1 eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 x (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 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))) #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 x (fma.f64 (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 (fma.f64 eps x x) (+.f64 #s(literal 1 binary64) eps)) x) (fma.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 eps x 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)) #s(approx (exp (neg ( (- 1 eps) 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 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (-.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) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(approx (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (*.f64 x (*.f64 eps eps))) #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 (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))

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

Calls

4 calls:

11.0ms	eps
9.0ms	x
8.0ms	(/.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))
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)))))

Results

Accuracy	Segments	Branch
80.8%	3	`x`
73.2%	1	`eps`
75.6%	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))`
75.6%	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 66 to 40 computations (39.4% saved)

regimes6.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

14 → 3

Calls

Call 1

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

#s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 binary64))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
80.8%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes33.0ms (0.3%)

Memory

-2.2MiB live, 41.4MiB allocated

Counts

9 → 2

Calls

Call 1

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

Calls

4 calls:

21.0ms	(-.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)))))
4.0ms	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))

Results

Accuracy	Segments	Branch
66.2%	2	`eps`
73.2%	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))`
73.2%	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)))))`
74.7%	4	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes38.0ms (0.3%)

Memory

-3.6MiB live, 36.0MiB allocated

Counts

7 → 2

Calls

Call 1

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

#s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 binary64))

Calls

4 calls:

29.0ms	(/.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	eps
3.0ms	x
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
53.0%	1	`eps`
59.3%	2	`x`
53.0%	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))`
53.0%	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 66 to 40 computations (39.4% saved)

regimes7.0ms (0.1%)

Memory

-16.2MiB live, 21.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 binary64))

Outputs
#s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 binary64))

Calls

4 calls:

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))
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	x

Results

Accuracy	Segments	Branch
18.4%	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))`
18.4%	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)))))`
18.4%	1	`eps`
18.4%	1	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.0

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.0

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.0

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.984989469920021e+28	+inf

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.984989469920021e+28	+inf

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.984989469920021e+28	+inf

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch52.0ms (0.4%)

Memory

-5.5MiB live, 153.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.4068507568713065e+201	1.0297932863386663e+202
30.0ms	3.95458163563226e-11	7.480656029556303e-10

Samples

19.0ms	58×	1	valid
17.0ms	150×	0	valid

Compiler

Compiled 453 to 263 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-exp: 7.0ms (23.8% of total)

ival-mult: 6.0ms (20.4% of total)

ival-sub: 5.0ms (17% of total)

ival-div: 4.0ms (13.6% of total)

ival-add: 3.0ms (10.2% of total)

adjust: 2.0ms (6.8% of total)

ival-neg: 2.0ms (6.8% 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

4.6MiB live, 4.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.4068507568713065e+201	1.0297932863386663e+202
1.0ms	3.95458163563226e-11	7.480656029556303e-10

Compiler

Compiled 351 to 215 computations (38.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.984989469920021e+28	+inf

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch32.0ms (0.3%)

Memory

-2.4MiB live, 75.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	27614508535.35435	8.229517192212416e+20

Samples

21.0ms

160×

valid

Compiler

Compiled 134 to 104 computations (22.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 8.0ms (47% of total)

ival-div: 2.0ms (11.7% of total)

ival-exp: 2.0ms (11.7% of total)

ival-sub: 2.0ms (11.7% of total)

ival-add: 1.0ms (5.9% of total)

ival-neg: 1.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

simplify41.0ms (0.4%)

Memory

12.7MiB live, 50.6MiB allocated

Algorithm

1×	egg-herbie

Rules

216×	`distribute-lft-neg-in_binary64`
134×	`neg-mul-1_binary64`
124×	`neg-sub0_binary64`
106×	`*-commutative_binary64`
100×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1494
1	211	1493
2	274	1476
3	336	1476
4	391	1476
5	467	1476
6	555	1476
7	654	1476
8	741	1476
9	800	1476
10	835	1476
11	849	1476
12	856	1476
13	859	1476

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 0 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 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 0 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) 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)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))) #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 0 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) 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)))
(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 49999999999999995716575428608 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) #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 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 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 49999999999999995716575428608 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) #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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal 1 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 49999999999999995716575428608 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(approx (+ (+ x 2) 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 (.f64 #s(literal 1/2 binary64) x) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 7156840852118605/9671406556917033397649408 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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 4250000000000000126312005955217244423768978065868791530754970924365064194244234546397053115409092219189170364988947123414618922108972322963531946317807169726088092428300503160014237066500848111562260480 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x))))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg ( (- 1 eps) x))) #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg ( (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 7156840852118605/9671406556917033397649408 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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 4250000000000000126312005955217244423768978065868791530754970924365064194244234546397053115409092219189170364988947123414618922108972322963531946317807169726088092428300503160014237066500848111562260480 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x))))) #s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 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 49999999999999995716575428608 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 (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(if (<=.f64 x #s(literal 28000000000 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 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 binary64)))
#s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 binary64))

Outputs
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(if (<=.f64 x #s(literal 7156840852118605/9671406556917033397649408 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) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 4250000000000000126312005955217244423768978065868791530754970924365064194244234546397053115409092219189170364988947123414618922108972322963531946317807169726088092428300503160014237066500848111562260480 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x))))) #s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 7156840852118605/9671406556917033397649408 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (+ ( x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps)))) (.f64 x (.f64 eps eps))) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 4250000000000000126312005955217244423768978065868791530754970924365064194244234546397053115409092219189170364988947123414618922108972322963531946317807169726088092428300503160014237066500848111562260480 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x))))) #s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 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 49999999999999995716575428608 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 (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(if (<=.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (.f64 x (+.f64 eps #s(literal -1 binary64))))) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 49999999999999995716575428608 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 (+ (* (* 1/2 x) (+ (* x (* 1/2 (+ (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (/ (+ eps 1) eps) (- -1 eps))))) 1) (.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(if (<=.f64 x #s(literal 28000000000 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 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 binary64)))
#s(approx (* (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (+ -1 (/ 1 eps)) (exp (* (- -1 eps) x)))) 1/2) #s(literal 0 binary64))

soundness905.0ms (7.8%)

Memory

11.3MiB live, 976.9MiB allocated

Rules

13 416×	`lower-fma.f64`
13 416×	`lower-fma.f32`
11 076×	`lower-fma.f64`
11 076×	`lower-fma.f32`
10 620×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	470	11010
1	1502	9616
2	4853	9133
0	8282	8597
0	65	530
0	110	530
1	435	506
2	4365	506
0	8415	498
0	729	10165
1	2464	9013
0	8084	8590
0	19	86
0	34	86
1	131	82
2	932	79
0	8931	73
0	287	2962
1	920	2564
2	3114	2316
0	8340	2191

Stop Event

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

Compiler

Compiled 947 to 286 computations (69.8% saved)

preprocess74.0ms (0.6%)

Memory: -4.2MiB live, 189.7MiB allocated
Remove: (abs eps)
Compiler: Compiled 1 276 to 274 computations (78.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze33.0ms (0.3%)

sample2.4s (21.1%)

explain389.0ms (3.4%)

preprocess250.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify219.0ms (1.9%)

localize125.0ms (1.1%)

series32.0ms (0.3%)

simplify291.0ms (2.5%)

rewrite285.0ms (2.5%)

eval92.0ms (0.8%)

prune112.0ms (1%)

simplify242.0ms (2.1%)

localize388.0ms (3.4%)

series89.0ms (0.8%)

simplify290.0ms (2.5%)

rewrite312.0ms (2.7%)

eval165.0ms (1.4%)

prune153.0ms (1.3%)

simplify422.0ms (3.7%)

localize719.0ms (6.2%)

series60.0ms (0.5%)

simplify317.0ms (2.7%)

rewrite302.0ms (2.6%)

eval165.0ms (1.4%)

prune136.0ms (1.2%)

simplify193.0ms (1.7%)

localize559.0ms (4.8%)

series59.0ms (0.5%)

simplify313.0ms (2.7%)

rewrite585.0ms (5.1%)

eval138.0ms (1.2%)

prune125.0ms (1.1%)

regimes98.0ms (0.8%)

regimes41.0ms (0.4%)

regimes79.0ms (0.7%)

regimes69.0ms (0.6%)

regimes19.0ms (0.2%)

regimes23.0ms (0.2%)

regimes39.0ms (0.3%)

regimes6.0ms (0.1%)

regimes33.0ms (0.3%)

regimes38.0ms (0.3%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch52.0ms (0.4%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch32.0ms (0.3%)

simplify41.0ms (0.4%)

soundness905.0ms (7.8%)

preprocess74.0ms (0.6%)

end0.0ms (0%)

Profiling