Metrics for NMSE Section 6.1 mentioned, A

analyze28.0ms (0.2%)

Memory

10.3MiB live, 47.9MiB 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)

sample2.6s (17.8%)

Memory

-75.0MiB live, 3 480.5MiB allocated

Samples

890.0ms	2 257×	1	valid
739.0ms	5 999×	0	valid
362.0ms	951×	0	exit
4.0ms	27×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-neg: 367.0ms (21.2% of total)

ival-exp: 341.0ms (19.7% of total)

ival-mult: 330.0ms (19% of total)

ival-sub: 221.0ms (12.7% of total)

ival-div: 189.0ms (10.9% of total)

adjust: 140.0ms (8.1% of total)

ival-add: 122.0ms (7% of total)

exact: 11.0ms (0.6% of total)

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

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

Bogosity

preprocess332.0ms (2.3%)

Memory

27.9MiB live, 612.1MiB 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 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64))))

Symmetry

(abs eps)

explain357.0ms (2.5%)

Memory

25.9MiB live, 808.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
73	4	(6.390006550967904e-290 2.6545999334814174e-5)	-	`(-.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	77	0

Confusion

	Predicted +	Predicted -
+	74	0
-	3	179

Precision

0.961038961038961

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	74	0	0
-	3	0	179

Precision?

0.961038961038961

Recall?

1.0

Freqs

test

number	freq
0	179
1	77

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms	148×	1	valid
57.0ms	364×	0	valid

Compiler

Compiled 348 to 80 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-exp: 18.0ms (18.9% of total)

ival-neg: 17.0ms (17.8% of total)

ival-sub: 15.0ms (15.7% of total)

ival-mult: 15.0ms (15.7% of total)

ival-add: 12.0ms (12.6% of total)

ival-div: 11.0ms (11.5% of total)

adjust: 5.0ms (5.2% of total)

exact: 1.0ms (1% of total)

ival-true: 1.0ms (1% of total)

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

eval10.0ms (0.1%)

Memory: -39.0MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.0%	(/.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))

Status

Accuracy

Program

▶

72.0%

(/.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))

Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify306.0ms (2.1%)

Memory

1.7MiB live, 529.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 (/.f64 #s(literal 1/2 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)) (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)

localize84.0ms (0.6%)

Memory

24.1MiB live, 143.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓	accuracy	100.0%	(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
✓	accuracy	72.4%	(-.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

25.0ms	74×	1	valid
23.0ms	182×	0	valid

Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-exp: 9.0ms (25.4% of total)

ival-mult: 8.0ms (22.6% of total)

ival-div: 5.0ms (14.1% of total)

ival-sub: 4.0ms (11.3% of total)

adjust: 3.0ms (8.5% of total)

ival-neg: 3.0ms (8.5% of total)

ival-add: 3.0ms (8.5% of total)

exact: 0.0ms (0% of total)

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

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

series34.0ms (0.2%)

Memory

-4.1MiB live, 34.4MiB allocated

Counts

6 → 144

Calls

Call 1

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

Outputs
#<alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))>
#<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))))))))>
#<alt (+ (* 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))))))))))>
#<alt (+ (* 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))))))))))))>
#<alt (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))>
#<alt (+ (* -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)))))))))>
#<alt (+ (* -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)))))))))>
#<alt (+ (* -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)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))>
#<alt (+ 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))))))))>
#<alt (+ 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))))))))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))>
#<alt (- (+ (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))))))>
#<alt (- (+ (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))))))>
#<alt (- (+ (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))))))>
#<alt (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt (- (+ (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)))))))>
#<alt (- (+ (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)))))))>
#<alt (- (+ (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)))))))>
#<alt 2>
#<alt (+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))>
#<alt (+ 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))))))>
#<alt (+ 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))))))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (* -1 x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (* eps x)>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt x>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (* eps x)>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt x>
#<alt (+ x (* -1 (* eps x)))>
#<alt (+ x (* -1 (* eps x)))>
#<alt (+ x (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))>
#<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)))))))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>

Calls

36 calls:

Time	Variable		Point	Expression
18.0ms	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)

rewrite341.0ms (2.4%)

Memory

-46.3MiB live, 576.2MiB allocated

Algorithm

1×	batch-egg-rewrite

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	79
0	34	79
1	131	75
2	932	73
0	8931	67

Stop Event

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

Counts

6 → 436

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

simplify379.0ms (2.6%)

Memory

11.9MiB live, 643.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 358×	`lower-fma.f64`
12 358×	`lower-fma.f32`
3 976×	`lower-*.f64`
3 976×	`lower-*.f32`
3 482×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	2726
1	841	2350
2	2887	2109
0	8128	1968

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 142

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))
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))
(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))))

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

eval84.0ms (0.6%)

Memory: 15.0MiB live, 200.2MiB allocated
Compiler: Compiled 29 462 to 2 291 computations (92.2% saved)

prune200.0ms (1.4%)

Memory

20.5MiB live, 190.6MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	568	10	578
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	569	10	579

Accuracy

100.0%

Counts

579 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.2%	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
▶	47.7%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (.f64 x (.f64 #s(literal 1/6 binary64) (fma.f64 (+.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 eps #s(literal 1 binary64)) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
	37.2%	(/.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)) (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)))) #s(literal 2 binary64))
	55.9%	(/.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)) (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)))) #s(literal 2 binary64))
	72.0%	(/.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)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))) #s(literal 2 binary64))
▶	39.2%	(/.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)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))) #s(literal 2 binary64))
	38.2%	(/.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)) #s(literal 1 binary64))) #s(literal 2 binary64))
▶	99.5%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
	58.9%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
▶	48.0%	#s(literal 1 binary64)

Compiler

Compiled 712 to 334 computations (53.1% saved)

simplify705.0ms (4.9%)

Memory

-15.8MiB live, 659.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (.f64 x (.f64 #s(literal 1/6 binary64) (fma.f64 (+.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 eps #s(literal 1 binary64)) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))
✓	cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (.f64 x (.f64 #s(literal 1/6 binary64) (fma.f64 (+.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 eps #s(literal 1 binary64)) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
✓	cost-diff	192	(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (.f64 x (.f64 #s(literal 1/6 binary64) (fma.f64 (+.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 eps #s(literal 1 binary64)) eps)) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))
✓	cost-diff	1408	(fma.f64 #s(literal 1/2 binary64) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (.f64 x (.f64 #s(literal 1/6 binary64) (fma.f64 (+.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 eps #s(literal 1 binary64)) eps)) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (+.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)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))) #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)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
✓	cost-diff	192	(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))
✓	cost-diff	704	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))))
✓	cost-diff	0	(-.f64 (*.f64 x eps) x)
✓	cost-diff	0	(exp.f64 (-.f64 (*.f64 x eps) x))
✓	cost-diff	0	(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))

Rules

14 164×	`lower-fma.f32`
14 148×	`lower-fma.f64`
4 944×	`lower-+.f32`
4 928×	`lower-+.f64`
3 862×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	1032
0	101	1030
1	251	1030
2	989	994
3	6136	979
0	8134	943

Stop Event

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

Calls

Call 1

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

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

localize644.0ms (4.5%)

Memory

10.3MiB live, 626.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.6%	(.f64 x (.f64 #s(literal 1/6 binary64) (fma.f64 (+.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 eps #s(literal 1 binary64)) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))
✓	accuracy	64.4%	(fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))
✓	accuracy	53.9%	(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (.f64 x (.f64 #s(literal 1/6 binary64) (fma.f64 (+.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 eps #s(literal 1 binary64)) eps)) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))
✓	accuracy	43.5%	(fma.f64 (+.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 eps #s(literal 1 binary64)) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x))))
✓	accuracy	100.0%	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
✓	accuracy	73.0%	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x))))
✓	accuracy	100.0%	(*.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))
✓	accuracy	99.6%	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
✓	accuracy	94.7%	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))))
✓	accuracy	64.4%	(fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps)))
✓	accuracy	100.0%	(exp.f64 (-.f64 (*.f64 x eps) x))
✓	accuracy	100.0%	(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
✓	accuracy	100.0%	(exp.f64 (neg.f64 (fma.f64 x eps x)))
✓	accuracy	100.0%	(-.f64 (*.f64 x eps) x)

Samples

122.0ms	98×	1	valid
59.0ms	27×	2	valid
59.0ms	24×	3	valid
46.0ms	8×	4	valid
42.0ms	82×	1	exit
28.0ms	6×	2	exit
12.0ms	3×	5	exit
11.0ms	8×	3	exit

Compiler

Compiled 1 074 to 59 computations (94.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 284.0ms

ival-mult: 127.0ms (44.8% of total)

adjust: 44.0ms (15.5% of total)

ival-add: 41.0ms (14.4% of total)

ival-sub: 21.0ms (7.4% of total)

ival-neg: 16.0ms (5.6% of total)

ival-div: 13.0ms (4.6% of total)

ival-exp: 12.0ms (4.2% of total)

const: 8.0ms (2.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series96.0ms (0.7%)

Memory

25.2MiB live, 137.7MiB allocated

Counts

23 → 492

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* 1/2 (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x)))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt 2>
#<alt (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x))))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x))))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x))))>
#<alt (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x))))>
#<alt (* 2 (exp (neg x)))>
#<alt (+ (* 2 (exp (neg x))) (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x))))))>
#<alt (+ (* 2 (exp (neg x))) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))))))>
#<alt (+ (* 2 (exp (neg x))) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (neg x)))))) (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<alt (+ (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))))))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (* eps x)>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 1>
#<alt (+ 1 (* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))>
#<alt (+ 1 (* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))>
#<alt (+ 1 (* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))>
#<alt (* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))>
#<alt (* 1/4 (* (pow x 2) (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
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#<alt (* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/4 (/ (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))) x)) (* -1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))) x)) (* -1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))) x)) (* -1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))))>
#<alt (+ 1 (* 1/2 (* (pow x 2) (- (* 2/3 x) 1))))>
#<alt (+ 1 (+ (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x))))) (* 1/2 (* (pow x 2) (- (* 2/3 x) 1)))))>
#<alt (+ 1 (+ (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x))))) (* 1/2 (* (pow x 2) (- (* 2/3 x) 1)))))>
#<alt (+ 1 (+ (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x))))) (* 1/2 (* (pow x 2) (- (* 2/3 x) 1)))))>
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -2/3 x)))) (+ (* 1/2 (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2))) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -2/3 x)))) (+ (* 1/2 (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2))) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -2/3 x)))) (+ (* 1/2 (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2))) (/ 1 (pow eps 2)))))>
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -2/3 x)))) (+ (* 1/2 (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2))) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -2/3 x)))) (+ (* 1/2 (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2))) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -2/3 x)))) (+ (* 1/2 (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2))) (/ 1 (pow eps 2)))))>
#<alt (* 1/2 (* x (- (* 2/3 x) 1)))>
#<alt (+ (* 1/2 (* x (- (* 2/3 x) 1))) (* 1/2 (* (pow eps 2) (* x (+ 1 (* -2/3 x))))))>
#<alt (+ (* 1/2 (* x (- (* 2/3 x) 1))) (* 1/2 (* (pow eps 2) (* x (+ 1 (* -2/3 x))))))>
#<alt (+ (* 1/2 (* x (- (* 2/3 x) 1))) (* 1/2 (* (pow eps 2) (* x (+ 1 (* -2/3 x))))))>
#<alt (* 1/2 (* (pow eps 2) (* x (+ 1 (* -2/3 x)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -2/3 x)))) (* 1/2 (/ (* x (- (* 2/3 x) 1)) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -2/3 x)))) (* 1/2 (/ (* x (- (* 2/3 x) 1)) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -2/3 x)))) (* 1/2 (/ (* x (- (* 2/3 x) 1)) (pow eps 2)))))>
#<alt (* 1/2 (* (pow eps 2) (* x (+ 1 (* -2/3 x)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -2/3 x)))) (* 1/2 (/ (* x (- (* 2/3 x) 1)) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -2/3 x)))) (* 1/2 (/ (* x (- (* 2/3 x) 1)) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -2/3 x)))) (* 1/2 (/ (* x (- (* 2/3 x) 1)) (pow eps 2)))))>
#<alt (* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))>
#<alt (* x (+ (* 1/12 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))) (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))>
#<alt (* x (+ (* 1/12 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))) (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))>
#<alt (* x (+ (* 1/12 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))) (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))>
#<alt (* 1/12 (* (pow x 2) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* (pow x 2) (+ (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (* 1/4 (/ (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))) x))))>
#<alt (* (pow x 2) (+ (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (* 1/4 (/ (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))) x))))>
#<alt (* (pow x 2) (+ (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (* 1/4 (/ (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))) x))))>
#<alt (* 1/12 (* (pow x 2) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* (pow x 2) (+ (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (* 1/4 (/ (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))) x))))>
#<alt (* (pow x 2) (+ (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (* 1/4 (/ (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))) x))))>
#<alt (* (pow x 2) (+ (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (* 1/4 (/ (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))) x))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (- (* -1 x) (* eps x)))>
#<alt (exp (- (* -1 x) (* eps x)))>
#<alt (exp (- (* -1 x) (* eps x)))>
#<alt (exp (- (* -1 x) (* eps x)))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))>
#<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)))))))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt -2>
#<alt (- (* 2 (pow eps 2)) 2)>
#<alt (- (* 2 (pow eps 2)) 2)>
#<alt (- (* 2 (pow eps 2)) 2)>
#<alt (* 2 (pow eps 2))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* 2 (pow eps 2))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (/ -1 eps)>
#<alt (/ (- (* -1 eps) 1) eps)>
#<alt (/ (- (* eps (- eps 1)) 1) eps)>
#<alt (/ (- (* eps (- (* eps (+ 1 eps)) 1)) 1) eps)>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (/ 1 eps)))>
#<alt (* (pow eps 2) (- (+ 1 (/ 1 eps)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 eps)) (pow eps 2))) (/ 1 eps))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (/ 1 eps)))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (- (/ 1 eps) 1) eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (- (+ (/ 1 eps) (/ 1 (pow eps 2))) 1) eps))))>
#<alt x>
#<alt (+ x (* -1 (* eps x)))>
#<alt (+ x (* -1 (* eps x)))>
#<alt (+ x (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* eps (+ (* -1 x) (/ x eps)))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ x (* -1 (/ x eps)))))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (* x (- 1 eps))>
#<alt (/ (- 1 x) eps)>
#<alt (/ (- (+ 1 (* eps (+ (* -1 x) (* -1 (- 1 x))))) x) eps)>
#<alt (/ (- (+ 1 (* eps (+ (* -1 x) (+ (* -1 (- 1 x)) (* eps x))))) x) eps)>
#<alt (/ (- (+ 1 (* eps (+ (* -1 x) (+ (* -1 (- 1 x)) (* eps x))))) x) eps)>
#<alt (* eps x)>
#<alt (* eps (+ x (+ (* -1 (/ x eps)) (* -1 (/ (- 1 x) eps)))))>
#<alt (* eps (- (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ (- 1 x) eps)) (/ 1 (pow eps 2))))) (/ x (pow eps 2))))>
#<alt (* eps (- (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ (- 1 x) eps)) (/ 1 (pow eps 2))))) (/ x (pow eps 2))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (- 1 x))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (- (+ (* -1 x) (+ (* -1 (- 1 x)) (/ 1 eps))) (/ x eps)) eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (- (+ (* -1 x) (+ (* -1 (- 1 x)) (/ 1 eps))) (/ x eps)) eps)))))>
#<alt (- (/ 1 eps) 1)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)>
#<alt (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))>
#<alt (* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))>
#<alt (* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))>
#<alt (* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))>
#<alt (* -1 (* x (* (- 1 (* -1 eps)) (- (/ 1 eps) 1))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (- 1 (* -1 eps)) (- (/ 1 eps) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (- 1 (* -1 eps)) (- (/ 1 eps) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (- 1 (* -1 eps)) (- (/ 1 eps) 1)))))>
#<alt 4>
#<alt (+ 4 (* -4 (pow eps 2)))>
#<alt (+ 4 (* -4 (pow eps 2)))>
#<alt (+ 4 (* -4 (pow eps 2)))>
#<alt (* -4 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* -4 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 2/3 x)>
#<alt (+ (* -2/3 (* (pow eps 2) x)) (* 2/3 x))>
#<alt (+ (* -2/3 (* (pow eps 2) x)) (* 2/3 x))>
#<alt (+ (* -2/3 (* (pow eps 2) x)) (* 2/3 x))>
#<alt (* -2/3 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))>
#<alt (* -2/3 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))>

Calls

123 calls:

Time	Variable		Point	Expression
23.0ms	eps	@	inf	(+ (* 1/2 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (- -1 eps) (/ (+ eps 1) eps)) (- -1 eps)))) (* x (* 1/6 (+ (* (+ -1 eps) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (* (+ (- -1 eps) (/ (+ eps 1) eps)) (* (+ eps 1) (+ eps 1)))))))
10.0ms	x	@	0	(* (- (/ 1 eps) 1) (- 1 (+ (* x eps) x)))
9.0ms	eps	@	0	(+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (- -1 eps) (/ (+ eps 1) eps)) (- -1 eps)))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (- -1 eps) (/ (+ eps 1) eps))))
6.0ms	eps	@	-inf	(+ (* 1/2 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (- -1 eps) (/ (+ eps 1) eps)) (- -1 eps)))) (* x (* 1/6 (+ (* (+ -1 eps) (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps)))) (* (+ (- -1 eps) (/ (+ eps 1) eps)) (* (+ eps 1) (+ eps 1)))))))
4.0ms	x	@	0	(+ (* (* 1/2 x) (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (- -1 eps) (/ (+ eps 1) eps)) (- -1 eps)))) (+ (+ (+ -1 eps) (/ (+ -1 eps) eps)) (+ (- -1 eps) (/ (+ eps 1) eps))))

rewrite579.0ms (4%)

Memory

-11.0MiB live, 748.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 058×	`lower-fma.f32`
6 042×	`lower-fma.f64`
5 482×	`lower-*.f32`
5 456×	`lower-*.f64`
2 228×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	705
0	101	693
1	499	683
2	5656	683
0	8637	677

Stop Event

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

Counts

23 → 646

Calls

Call 1

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

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

simplify520.0ms (3.6%)

Memory

2.2MiB live, 994.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 240×	`lower-fma.f64`
15 240×	`lower-fma.f32`
8 078×	`lower-*.f64`
8 078×	`lower-*.f32`
4 628×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	623	9047
1	2185	8517
2	7655	8497
0	8957	7980

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 491

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x)))))
(exp (neg x))
(+ (exp (neg x)) (* 1/2 (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x)))))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x))))))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))
2
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x))))
(+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x))))
(+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x))))
(+ (exp (+ (* -1 x) (* eps x))) (exp (- (* -1 x) (* eps x))))
(* 2 (exp (neg x)))
(+ (* 2 (exp (neg x))) (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x))))))
(+ (* 2 (exp (neg x))) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))))))
(+ (* 2 (exp (neg x))) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (neg x)))))) (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))
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 (+ (* -1 x) (* eps x)))
(exp (+ (* -1 x) (* eps x)))
(exp (+ (* -1 x) (* eps x)))
(exp (+ (* -1 x) (* eps 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 (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) 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 (* -1 eps))))
(* -1 (* x (+ 1 (* -1 eps))))
(* -1 (* x (+ 1 (* -1 eps))))
(* -1 (* x (+ 1 (* -1 eps))))
(* -1 x)
(- (* eps x) x)
(- (* eps x) x)
(- (* eps x) x)
(* eps x)
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x 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))))))
(* 1/2 (* 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)))))
0
0
0
0
0
0
0
0
0
0
0
0
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))))
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2
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1
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1
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(* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
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(* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* -1 (* (pow x 3) (+ (* -1/4 (/ (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))) x)) (* -1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))) x)) (* -1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (/ 1 (pow x 2))) x)) (* -1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))))
(+ 1 (* 1/2 (* (pow x 2) (- (* 2/3 x) 1))))
(+ 1 (+ (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x))))) (* 1/2 (* (pow x 2) (- (* 2/3 x) 1)))))
(+ 1 (+ (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x))))) (* 1/2 (* (pow x 2) (- (* 2/3 x) 1)))))
(+ 1 (+ (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x))))) (* 1/2 (* (pow x 2) (- (* 2/3 x) 1)))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -2/3 x)))) (+ (* 1/2 (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2))) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -2/3 x)))) (+ (* 1/2 (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2))) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -2/3 x)))) (+ (* 1/2 (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2))) (/ 1 (pow eps 2)))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -2/3 x)))) (+ (* 1/2 (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2))) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -2/3 x)))) (+ (* 1/2 (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2))) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -2/3 x)))) (+ (* 1/2 (/ (* (pow x 2) (- (* 2/3 x) 1)) (pow eps 2))) (/ 1 (pow eps 2)))))
(* 1/2 (* x (- (* 2/3 x) 1)))
(+ (* 1/2 (* x (- (* 2/3 x) 1))) (* 1/2 (* (pow eps 2) (* x (+ 1 (* -2/3 x))))))
(+ (* 1/2 (* x (- (* 2/3 x) 1))) (* 1/2 (* (pow eps 2) (* x (+ 1 (* -2/3 x))))))
(+ (* 1/2 (* x (- (* 2/3 x) 1))) (* 1/2 (* (pow eps 2) (* x (+ 1 (* -2/3 x))))))
(* 1/2 (* (pow eps 2) (* x (+ 1 (* -2/3 x)))))
(* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -2/3 x)))) (* 1/2 (/ (* x (- (* 2/3 x) 1)) (pow eps 2)))))
(* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -2/3 x)))) (* 1/2 (/ (* x (- (* 2/3 x) 1)) (pow eps 2)))))
(* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -2/3 x)))) (* 1/2 (/ (* x (- (* 2/3 x) 1)) (pow eps 2)))))
(* 1/2 (* (pow eps 2) (* x (+ 1 (* -2/3 x)))))
(* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -2/3 x)))) (* 1/2 (/ (* x (- (* 2/3 x) 1)) (pow eps 2)))))
(* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -2/3 x)))) (* 1/2 (/ (* x (- (* 2/3 x) 1)) (pow eps 2)))))
(* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -2/3 x)))) (* 1/2 (/ (* x (- (* 2/3 x) 1)) (pow eps 2)))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* x (+ (* 1/12 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))) (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))
(* x (+ (* 1/12 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))) (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))
(* x (+ (* 1/12 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps)))))) (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))))
(* 1/12 (* (pow x 2) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (* 1/4 (/ (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))) x))))
(* (pow x 2) (+ (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (* 1/4 (/ (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))) x))))
(* (pow x 2) (+ (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (* 1/4 (/ (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))) x))))
(* 1/12 (* (pow x 2) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* (pow x 2) (+ (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (* 1/4 (/ (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))) x))))
(* (pow x 2) (+ (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (* 1/4 (/ (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))) x))))
(* (pow x 2) (+ (* 1/12 (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))) (* 1/4 (/ (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))) x))))
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 (- (* -1 x) (* eps x)))
(exp (- (* -1 x) (* eps x)))
(exp (- (* -1 x) (* eps x)))
(exp (- (* -1 x) (* eps x)))
(exp (neg x))
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
-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)))))
(/ -1 eps)
(/ (- (* -1 eps) 1) eps)
(/ (- (* eps (- eps 1)) 1) eps)
(/ (- (* eps (- (* eps (+ 1 eps)) 1)) 1) eps)
(pow eps 2)
(* (pow eps 2) (+ 1 (/ 1 eps)))
(* (pow eps 2) (- (+ 1 (/ 1 eps)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 eps)) (pow eps 2))) (/ 1 eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (/ 1 eps)))
(* (pow eps 2) (+ 1 (* -1 (/ (- (/ 1 eps) 1) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- (+ (/ 1 eps) (/ 1 (pow eps 2))) 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))
(/ (- 1 x) eps)
(/ (- (+ 1 (* eps (+ (* -1 x) (* -1 (- 1 x))))) x) eps)
(/ (- (+ 1 (* eps (+ (* -1 x) (+ (* -1 (- 1 x)) (* eps x))))) x) eps)
(/ (- (+ 1 (* eps (+ (* -1 x) (+ (* -1 (- 1 x)) (* eps x))))) x) eps)
(* eps x)
(* eps (+ x (+ (* -1 (/ x eps)) (* -1 (/ (- 1 x) eps)))))
(* eps (- (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ (- 1 x) eps)) (/ 1 (pow eps 2))))) (/ x (pow eps 2))))
(* eps (- (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ (- 1 x) eps)) (/ 1 (pow eps 2))))) (/ x (pow eps 2))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (- 1 x))) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (- (+ (* -1 x) (+ (* -1 (- 1 x)) (/ 1 eps))) (/ x eps)) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (- (+ (* -1 x) (+ (* -1 (- 1 x)) (/ 1 eps))) (/ x eps)) eps)))))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))
(* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))
(* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))
(* x (- (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 (* eps x))) (/ 1 x)))
(* -1 (* x (* (- 1 (* -1 eps)) (- (/ 1 eps) 1))))
(* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (- 1 (* -1 eps)) (- (/ 1 eps) 1)))))
(* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (- 1 (* -1 eps)) (- (/ 1 eps) 1)))))
(* -1 (* x (+ (* -1 (/ (- (/ 1 eps) 1) x)) (* (- 1 (* -1 eps)) (- (/ 1 eps) 1)))))
4
(+ 4 (* -4 (pow eps 2)))
(+ 4 (* -4 (pow eps 2)))
(+ 4 (* -4 (pow eps 2)))
(* -4 (pow eps 2))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* -4 (pow eps 2))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/6 (* x (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 2/3 x)
(+ (* -2/3 (* (pow eps 2) x)) (* 2/3 x))
(+ (* -2/3 (* (pow eps 2) x)) (* 2/3 x))
(+ (* -2/3 (* (pow eps 2) x)) (* 2/3 x))
(* -2/3 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))
(* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))
(* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))
(* -2/3 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))
(* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))
(* (pow eps 2) (+ (* -2/3 x) (* 2/3 (/ x (pow eps 2)))))

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

eval247.0ms (1.7%)

Memory: 21.3MiB live, 486.1MiB allocated
Compiler: Compiled 85 541 to 3 866 computations (95.5% saved)

prune179.0ms (1.2%)

Memory

-51.0MiB live, 354.3MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1 218	22	1 240
Fresh	4	1	5
Picked	4	1	5
Done	0	0	0
Total	1 226	24	1 250

Accuracy

100.0%

Counts

1 250 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.1%	(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
	78.2%	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
	60.7%	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (.f64 eps eps))))) #s(literal 1 binary64))
	47.0%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
	68.2%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (.f64 eps (*.f64 eps (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
	24.1%	(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))) #s(literal 2 binary64))
	24.0%	(/.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 #s(literal 1 binary64) x) eps)) #s(literal 2 binary64))
	17.3%	(.f64 (fma.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) #s(literal -1/12 binary64) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x x))))
	39.5%	(.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
▶	10.0%	(.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
	36.5%	(.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 binary64)))
	33.5%	(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (.f64 x #s(literal -2/3 binary64)) x) (/.f64 (.f64 (.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
▶	24.6%	(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))))
▶	10.5%	(.f64 eps (.f64 x #s(literal -1/2 binary64)))
	47.3%	(.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 x (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
	64.7%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x 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 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
	81.2%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
▶	99.5%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))
▶	65.8%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(literal 1 binary64)))
	88.1%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
	68.1%	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
	58.9%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
	73.6%	(exp.f64 (neg.f64 x))
✓	48.0%	#s(literal 1 binary64)

Compiler

Compiled 1 081 to 613 computations (43.3% saved)

simplify359.0ms (2.5%)

Memory

6.2MiB live, 639.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (*.f64 x eps) x)
✓	cost-diff	0	(exp.f64 (-.f64 (*.f64 x eps) x))
✓	cost-diff	0	(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64))
✓	cost-diff	128	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) eps)
✓	cost-diff	0	(.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
✓	cost-diff	768	(fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))))
✓	cost-diff	320	(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 eps (.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	0	(-.f64 (*.f64 x eps) x)
✓	cost-diff	0	(exp.f64 (-.f64 (*.f64 x eps) x))
✓	cost-diff	0	(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))

Rules

13 216×	`lower-fma.f32`
13 210×	`lower-fma.f64`
3 696×	`lower-+.f32`
3 686×	`lower-+.f64`
3 448×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	286
0	72	280
1	145	277
2	396	277
3	1643	277
4	5277	275
0	8153	267

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(-.f64 (*.f64 x eps) x)
(*.f64 x eps)
x
eps
(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x eps x)
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
eps
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))))
(*.f64 eps eps)
eps
(.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))))
(*.f64 x x)
x
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))
#s(literal -2/3 binary64)
#s(literal 1 binary64)
(.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
(+.f64 #s(literal 1 binary64) eps)
#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 #s(literal 1 binary64) eps)
(.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))
(+.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))
(+.f64 eps (/.f64 #s(literal -1 binary64) eps))
(/.f64 #s(literal -1 binary64) eps)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1/12 binary64)
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64))
(exp.f64 (-.f64 (*.f64 x eps) x))
(-.f64 (*.f64 x eps) x)
(*.f64 x eps)
x
eps
#s(literal 1 binary64)

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(-.f64 (*.f64 x eps) x)
(*.f64 x eps)
x
eps
(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x eps x)
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 x eps) #s(literal -1/2 binary64))
eps
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))))
(.f64 x (.f64 eps (.f64 eps (.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64))))))
(*.f64 eps eps)
eps
(.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))))
(.f64 x (.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64))))
(*.f64 x x)
x
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))
#s(literal -2/3 binary64)
#s(literal 1 binary64)
(.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64)))) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) eps)
(+.f64 eps #s(literal 1 binary64))
#s(literal 1 binary64)
eps
(*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps))
(*.f64 (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))
(-.f64 (/.f64 #s(literal 1 binary64) eps) eps)
(/.f64 #s(literal 1 binary64) eps)
(.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))
(.f64 (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
(+.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))
(+.f64 eps (/.f64 #s(literal -1 binary64) eps))
(/.f64 #s(literal -1 binary64) eps)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1/12 binary64)
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64))
(exp.f64 (-.f64 (*.f64 x eps) x))
(-.f64 (*.f64 x eps) x)
(*.f64 x eps)
x
eps
#s(literal 1 binary64)

localize273.0ms (1.9%)

Memory

35.0MiB live, 650.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(exp.f64 (-.f64 (*.f64 x eps) x))
✓	accuracy	100.0%	(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 x eps) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
✓	accuracy	85.0%	(.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
✓	accuracy	5.1%	(fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))))
✓	accuracy	99.8%	(fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))
✓	accuracy	78.6%	(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 eps (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(exp.f64 (-.f64 (*.f64 x eps) x))
✓	accuracy	100.0%	(exp.f64 #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))
✓	accuracy	100.0%	(-.f64 (*.f64 x eps) x)

Samples

181.0ms	247×	1	valid
14.0ms	2×	2	valid
2.0ms	7×	0	valid

Compiler

Compiled 298 to 43 computations (85.6% saved)

Precisions

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

ival-mult: 44.0ms (32.3% of total)

ival-pow: 21.0ms (15.4% of total)

ival-add: 19.0ms (13.9% of total)

adjust: 17.0ms (12.5% of total)

ival-exp: 13.0ms (9.5% of total)

const: 9.0ms (6.6% of total)

ival-div: 7.0ms (5.1% of total)

ival-sub: 6.0ms (4.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series34.0ms (0.2%)

Memory

-10.2MiB live, 67.6MiB allocated

Counts

20 → 336

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))>
#<alt (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))>
#<alt (exp.f64 (-.f64 (*.f64 x eps) x))>
#<alt (-.f64 (*.f64 x eps) x)>
#<alt (.f64 eps (.f64 x #s(literal -1/2 binary64)))>
#<alt (*.f64 x #s(literal -1/2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))>
#<alt (.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))))>
#<alt (*.f64 eps eps)>
#<alt (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))))>
#<alt (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))>
#<alt (.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) eps)>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps))>
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(literal 1 binary64)))>
#<alt (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64))>
#<alt (exp.f64 #s(literal -1 binary64))>
#<alt (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))>
#<alt (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))>
#<alt (.f64 x (.f64 x x))>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))>
#<alt (+ (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))>
#<alt (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))))))>
#<alt (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))>
#<alt 2>
#<alt (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (neg x)) (exp (* -1 x)))>
#<alt (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))))>
#<alt (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))))) (* x (exp (neg x))))))))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<alt (+ (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))))))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (* eps x)>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/3 x))>
#<alt (+ 1/2 (* -1/3 x))>
#<alt (+ 1/2 (* -1/3 x))>
#<alt (* -1/3 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/3))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/3))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/3))>
#<alt (* -1/3 x)>
#<alt (* -1 (* x (- 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))>
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))>
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))>
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))>
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))>
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))>
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))>
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))>
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))>
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))>
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))>
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/3 (* (pow eps 2) x)) (* 1/2 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* -1/3 (* (pow eps 2) x)) (* 1/2 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* -1/3 (* (pow eps 2) x)) (* 1/2 (pow eps 2))))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* -1/3 (pow eps 2)) (* 1/2 (/ (pow eps 2) x))))>
#<alt (* (pow x 3) (+ (* -1/3 (pow eps 2)) (* 1/2 (/ (pow eps 2) x))))>
#<alt (* (pow x 3) (+ (* -1/3 (pow eps 2)) (* 1/2 (/ (pow eps 2) x))))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow eps 2) x)) (* 1/3 (pow eps 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow eps 2) x)) (* 1/3 (pow eps 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow eps 2) x)) (* 1/3 (pow eps 2)))))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/3 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1/3 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1/3 x)))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))))>
#<alt 4>
#<alt (+ 4 (* -4 (pow eps 2)))>
#<alt (+ 4 (* -4 (pow eps 2)))>
#<alt (+ 4 (* -4 (pow eps 2)))>
#<alt (* -4 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* -4 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* 1/3 (pow x 3))>
#<alt (+ (* -1/3 (* (pow eps 2) (pow x 3))) (* 1/3 (pow x 3)))>
#<alt (+ (* -1/3 (* (pow eps 2) (pow x 3))) (* 1/3 (pow x 3)))>
#<alt (+ (* -1/3 (* (pow eps 2) (pow x 3))) (* 1/3 (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt 1>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 eps) eps)>
#<alt (/ (+ 1 (* eps (+ 1 (* -1 eps)))) eps)>
#<alt (/ (+ 1 (* eps (+ 1 (* eps (- (* -1 eps) 1))))) eps)>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 1 (/ 1 eps))))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) (+ 1 (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ (/ 1 (pow eps 2)) (/ 1 (pow eps 3))) (+ 1 (/ 1 eps))))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 1 (/ 1 eps))))>
#<alt (* (pow eps 2) (- (* -1 (/ (- 1 (/ 1 eps)) eps)) 1))>
#<alt (* (pow eps 2) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 eps)) eps))) eps)) 1))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- eps 1))))>
#<alt (+ 1 (* x (+ (* 1/4 (* x (pow (- eps 1) 2))) (* 1/2 (- eps 1)))))>
#<alt (+ 1 (* x (+ (* 1/2 (- eps 1)) (* x (+ (* 1/12 (* x (pow (- eps 1) 3))) (* 1/4 (pow (- eps 1) 2)))))))>
#<alt (* 1/2 (+ 1 (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ 1 (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ 1 (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ 1 (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ 1 (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ 1 (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ 1 (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ 1 (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ 1 (exp (neg x))))>
#<alt (+ (* 1/2 (* eps (* x (exp (neg x))))) (* 1/2 (+ 1 (exp (neg x)))))>
#<alt (+ (* 1/2 (+ 1 (exp (neg x)))) (* eps (+ (* 1/4 (* eps (* (pow x 2) (exp (neg x))))) (* 1/2 (* x (exp (neg x)))))))>
#<alt (+ (* 1/2 (+ 1 (exp (neg x)))) (* eps (+ (* 1/2 (* x (exp (neg x)))) (* eps (+ (* 1/12 (* eps (* (pow x 3) (exp (neg x))))) (* 1/4 (* (pow x 2) (exp (neg x)))))))))>
#<alt (* 1/2 (+ 1 (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ 1 (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ 1 (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ 1 (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ 1 (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ 1 (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ 1 (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ 1 (exp (- (* eps x) x))))>
#<alt 2>
#<alt (+ 2 (* x (- eps 1)))>
#<alt (+ 2 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 2 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (+ 1 (exp (- (* eps x) x)))>
#<alt (+ 1 (exp (- (* eps x) x)))>
#<alt (+ 1 (exp (- (* eps x) x)))>
#<alt (+ 1 (exp (- (* eps x) x)))>
#<alt (+ 1 (exp (+ (* -1 x) (* eps x))))>
#<alt (+ 1 (exp (+ (* -1 x) (* eps x))))>
#<alt (+ 1 (exp (+ (* -1 x) (* eps x))))>
#<alt (+ 1 (exp (+ (* -1 x) (* eps x))))>
#<alt (+ 1 (exp (neg x)))>
#<alt (+ 1 (+ (exp (neg x)) (* eps (* x (exp (neg x))))))>
#<alt (+ 1 (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))))>
#<alt (+ 1 (+ (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)))))))>
#<alt (+ 1 (exp (- (* eps x) x)))>
#<alt (+ 1 (exp (- (* eps x) x)))>
#<alt (+ 1 (exp (- (* eps x) x)))>
#<alt (+ 1 (exp (- (* eps x) x)))>
#<alt (+ 1 (exp (- (* eps x) x)))>
#<alt (+ 1 (exp (- (* eps x) x)))>
#<alt (+ 1 (exp (- (* eps x) x)))>
#<alt (+ 1 (exp (- (* eps x) x)))>
#<alt 1>
#<alt (+ 1 (* -2/3 x))>
#<alt (+ 1 (* -2/3 x))>
#<alt (+ 1 (* -2/3 x))>
#<alt (* -2/3 x)>
#<alt (* x (- (/ 1 x) 2/3))>
#<alt (* x (- (/ 1 x) 2/3))>
#<alt (* x (- (/ 1 x) 2/3))>
#<alt (* -2/3 x)>
#<alt (* -1 (* x (- 2/3 (/ 1 x))))>
#<alt (* -1 (* x (- 2/3 (/ 1 x))))>
#<alt (* -1 (* x (- 2/3 (/ 1 x))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

84 calls:

Time	Variable		Expression
3.0ms	x	@	(* (* eps eps) (* (* x x) (* 1/2 (+ (* x -2/3) 1))))
1.0ms	eps	@	(* (* eps eps) (* (* x x) (* 1/2 (+ (* x -2/3) 1))))
1.0ms	eps	@	(* (+ (* (+ 1 eps) (* (+ 1 eps) (- (/ 1 eps) eps))) (* (+ eps -1) (* (+ eps -1) (+ eps (/ -1 eps))))) (* (* x (* x x)) 1/12))
1.0ms	x	@	(* (+ (* (+ 1 eps) (* (+ 1 eps) (- (/ 1 eps) eps))) (* (+ eps -1) (* (+ eps -1) (+ eps (/ -1 eps))))) (* (* x (* x x)) 1/12))
1.0ms	eps	@	(* 1/2 (+ (exp (- (* x eps) x)) (pow (exp -1) (+ (* x eps) x))))

rewrite306.0ms (2.1%)

Memory

15.7MiB live, 765.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 482×	`lower-*.f32`
4 450×	`lower-*.f64`
4 130×	`lower-/.f32`
4 126×	`lower-/.f64`
3 308×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	190
0	72	184
1	267	171
2	2172	171
0	8295	165

Stop Event

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

Counts

20 → 503

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))
(exp.f64 (-.f64 (*.f64 x eps) x))
(-.f64 (*.f64 x eps) x)
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))))
(*.f64 eps eps)
(.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))))
(fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
(.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(+.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) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64))
(exp.f64 #s(literal -1 binary64))
(fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
(.f64 x (.f64 x x))

Outputs
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 x eps) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 x eps) x))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 x eps) x))) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 x eps) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 x eps) x)) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 x eps) x))))
(fma.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 x eps) x))))
(fma.f64 (exp.f64 (.f64 (neg.f64 x) eps)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 x eps) x))))
(fma.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (fma.f64 x eps x) #s(literal 1/2 binary64)))) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (fma.f64 x eps x) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (neg.f64 x) eps))) (exp.f64 (neg.f64 x)) (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 x eps) x))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (fma.f64 x eps x) #s(literal 1/2 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (fma.f64 x eps x) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))))
(/.f64 (fma.f64 (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 3 binary64))) #s(literal 1/8 binary64) (.f64 (exp.f64 (.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 x eps) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 x eps) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 x eps) x))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 x eps) x))) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
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(/.f64 (neg.f64 (fma.f64 (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 3 binary64))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 x eps) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 x eps) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (.f64 x eps) x))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 x eps) x))))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (expm1.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))))) (neg.f64 (expm1.f64 (-.f64 (.f64 x eps) x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 x eps) x))))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (expm1.f64 (-.f64 (.f64 x eps) x))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(literal 1 binary64)))
(.f64 (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)))
(-.f64 (/.f64 (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))) (expm1.f64 (-.f64 (.f64 x eps) x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (.f64 x eps) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 x eps) x)))) (/.f64 (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 x eps) x)))))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 x eps) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 (-.f64 (.f64 x eps) x)) (expm1.f64 (.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 x eps) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (-.f64 (.f64 x eps) x)) (expm1.f64 (.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (-.f64 (*.f64 x eps) x)))))
(/.f64 (expm1.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))) (expm1.f64 (-.f64 (*.f64 x eps) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (-.f64 (*.f64 x eps) x))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 (-.f64 (*.f64 x eps) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))) (expm1.f64 (-.f64 (.f64 x eps) x))) (.f64 (expm1.f64 (-.f64 (.f64 x eps) x)) #s(literal 1 binary64))) (.f64 (expm1.f64 (-.f64 (.f64 x eps) x)) (expm1.f64 (-.f64 (*.f64 x eps) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (expm1.f64 (-.f64 (*.f64 x eps) x)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 x eps) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 (-.f64 (.f64 x eps) x)) (expm1.f64 (.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 x eps) x))))))
(.f64 (expm1.f64 (.f64 (-.f64 (.f64 x eps) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (.f64 x eps) x))))
(exp.f64 #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64)))
(+.f64 (*.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4/9 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -2/3 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 4/9 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -2/3 binary64)))))
(fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2/3 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -2/3 binary64) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 4/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -2/3 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 4/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -2/3 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 4/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -2/3 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 4/9 binary64)) (*.f64 x #s(literal -2/3 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 4/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -2/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 4/9 binary64)) (*.f64 x #s(literal -2/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 4/9 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 4/9 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 4/9 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 4/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -2/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal -1 binary64)))))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 4/9 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -2/3 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 4/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 4/9 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal -1 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(.f64 (.f64 #s(literal 1/12 binary64) x) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

simplify851.0ms (5.9%)

Memory

-28.7MiB live, 805.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 560×	`lower-fma.f64`
15 560×	`lower-fma.f32`
6 212×	`lower-*.f64`
6 212×	`lower-*.f32`
5 600×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	3520
1	1050	3312
2	3315	3131
0	8256	2994

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 334

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (neg x)) (exp (* -1 x))))
(+ (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))
(+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))))))
(+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
2
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x))))
(+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x))))
(+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x))))
(+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x))))
(+ (exp (neg x)) (exp (* -1 x)))
(+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))))
(+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (neg x))))))))
(+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))))) (* x (exp (neg x))))))))
(+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x)))
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 (+ (* -1 x) (* eps x)))
(exp (+ (* -1 x) (* eps x)))
(exp (+ (* -1 x) (* eps x)))
(exp (+ (* -1 x) (* eps 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 (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) 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 (* -1 eps))))
(* -1 (* x (+ 1 (* -1 eps))))
(* -1 (* x (+ 1 (* -1 eps))))
(* -1 (* x (+ 1 (* -1 eps))))
(* -1 x)
(- (* eps x) x)
(- (* eps x) x)
(- (* eps x) x)
(* eps x)
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps 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)
1/2
(+ 1/2 (* -1/3 x))
(+ 1/2 (* -1/3 x))
(+ 1/2 (* -1/3 x))
(* -1/3 x)
(* x (- (* 1/2 (/ 1 x)) 1/3))
(* x (- (* 1/2 (/ 1 x)) 1/3))
(* x (- (* 1/2 (/ 1 x)) 1/3))
(* -1/3 x)
(* -1 (* x (- 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/3 (* 1/2 (/ 1 x)))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -2/3 x)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* -1/3 (* (pow eps 2) x)) (* 1/2 (pow eps 2))))
(* (pow x 2) (+ (* -1/3 (* (pow eps 2) x)) (* 1/2 (pow eps 2))))
(* (pow x 2) (+ (* -1/3 (* (pow eps 2) x)) (* 1/2 (pow eps 2))))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* -1/3 (pow eps 2)) (* 1/2 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* -1/3 (pow eps 2)) (* 1/2 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* -1/3 (pow eps 2)) (* 1/2 (/ (pow eps 2) x))))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow eps 2) x)) (* 1/3 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow eps 2) x)) (* 1/3 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow eps 2) x)) (* 1/3 (pow eps 2)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/3 x)))
(* (pow x 2) (+ 1/2 (* -1/3 x)))
(* (pow x 2) (+ 1/2 (* -1/3 x)))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))))
4
(+ 4 (* -4 (pow eps 2)))
(+ 4 (* -4 (pow eps 2)))
(+ 4 (* -4 (pow eps 2)))
(* -4 (pow eps 2))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* -4 (pow eps 2))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* 1/3 (pow x 3))
(+ (* -1/3 (* (pow eps 2) (pow x 3))) (* 1/3 (pow x 3)))
(+ (* -1/3 (* (pow eps 2) (pow x 3))) (* 1/3 (pow x 3)))
(+ (* -1/3 (* (pow eps 2) (pow x 3))) (* 1/3 (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))
(* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* (pow (+ 1 eps) 2) (- (/ 1 eps) eps)) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
1
(+ 1 eps)
(+ 1 eps)
(+ 1 eps)
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(/ 1 eps)
(/ (+ 1 eps) eps)
(/ (+ 1 (* eps (+ 1 (* -1 eps)))) eps)
(/ (+ 1 (* eps (+ 1 (* eps (- (* -1 eps) 1))))) eps)
(* -1 (pow eps 2))
(* -1 (* (pow eps 2) (+ 1 (/ 1 eps))))
(* (pow eps 2) (- (/ 1 (pow eps 2)) (+ 1 (/ 1 eps))))
(* (pow eps 2) (- (+ (/ 1 (pow eps 2)) (/ 1 (pow eps 3))) (+ 1 (/ 1 eps))))
(* -1 (pow eps 2))
(* -1 (* (pow eps 2) (+ 1 (/ 1 eps))))
(* (pow eps 2) (- (* -1 (/ (- 1 (/ 1 eps)) eps)) 1))
(* (pow eps 2) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 eps)) eps))) eps)) 1))
1
(+ 1 (* 1/2 (* x (- eps 1))))
(+ 1 (* x (+ (* 1/4 (* x (pow (- eps 1) 2))) (* 1/2 (- eps 1)))))
(+ 1 (* x (+ (* 1/2 (- eps 1)) (* x (+ (* 1/12 (* x (pow (- eps 1) 3))) (* 1/4 (pow (- eps 1) 2)))))))
(* 1/2 (+ 1 (exp (- (* eps x) x))))
(* 1/2 (+ 1 (exp (- (* eps x) x))))
(* 1/2 (+ 1 (exp (- (* eps x) x))))
(* 1/2 (+ 1 (exp (- (* eps x) x))))
(* 1/2 (+ 1 (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ 1 (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ 1 (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ 1 (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ 1 (exp (neg x))))
(+ (* 1/2 (* eps (* x (exp (neg x))))) (* 1/2 (+ 1 (exp (neg x)))))
(+ (* 1/2 (+ 1 (exp (neg x)))) (* eps (+ (* 1/4 (* eps (* (pow x 2) (exp (neg x))))) (* 1/2 (* x (exp (neg x)))))))
(+ (* 1/2 (+ 1 (exp (neg x)))) (* eps (+ (* 1/2 (* x (exp (neg x)))) (* eps (+ (* 1/12 (* eps (* (pow x 3) (exp (neg x))))) (* 1/4 (* (pow x 2) (exp (neg x)))))))))
(* 1/2 (+ 1 (exp (- (* eps x) x))))
(* 1/2 (+ 1 (exp (- (* eps x) x))))
(* 1/2 (+ 1 (exp (- (* eps x) x))))
(* 1/2 (+ 1 (exp (- (* eps x) x))))
(* 1/2 (+ 1 (exp (- (* eps x) x))))
(* 1/2 (+ 1 (exp (- (* eps x) x))))
(* 1/2 (+ 1 (exp (- (* eps x) x))))
(* 1/2 (+ 1 (exp (- (* eps x) x))))
2
(+ 2 (* x (- eps 1)))
(+ 2 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 2 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(+ 1 (exp (- (* eps x) x)))
(+ 1 (exp (- (* eps x) x)))
(+ 1 (exp (- (* eps x) x)))
(+ 1 (exp (- (* eps x) x)))
(+ 1 (exp (+ (* -1 x) (* eps x))))
(+ 1 (exp (+ (* -1 x) (* eps x))))
(+ 1 (exp (+ (* -1 x) (* eps x))))
(+ 1 (exp (+ (* -1 x) (* eps x))))
(+ 1 (exp (neg x)))
(+ 1 (+ (exp (neg x)) (* eps (* x (exp (neg x))))))
(+ 1 (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))))
(+ 1 (+ (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)))))))
(+ 1 (exp (- (* eps x) x)))
(+ 1 (exp (- (* eps x) x)))
(+ 1 (exp (- (* eps x) x)))
(+ 1 (exp (- (* eps x) x)))
(+ 1 (exp (- (* eps x) x)))
(+ 1 (exp (- (* eps x) x)))
(+ 1 (exp (- (* eps x) x)))
(+ 1 (exp (- (* eps x) x)))
1
(+ 1 (* -2/3 x))
(+ 1 (* -2/3 x))
(+ 1 (* -2/3 x))
(* -2/3 x)
(* x (- (/ 1 x) 2/3))
(* x (- (/ 1 x) 2/3))
(* x (- (/ 1 x) 2/3))
(* -2/3 x)
(* -1 (* x (- 2/3 (/ 1 x))))
(* -1 (* x (- 2/3 (/ 1 x))))
(* -1 (* x (- 2/3 (/ 1 x))))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(fma.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 (neg.f64 eps) eps))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(fma.f64 x (+.f64 (fma.f64 x (.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal -1/2 binary64) (+.f64 (neg.f64 eps) eps))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal -2 binary64) (neg.f64 eps)) (fma.f64 x (fma.f64 x (.f64 (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.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 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps)))) eps))) #s(literal 1 binary64))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (.f64 x eps) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (.f64 x eps) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (.f64 x eps) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (.f64 x eps) x))))
(* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (.f64 x eps) x))))
(* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (.f64 x eps) x))))
(* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (.f64 x eps) x))))
(* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (+ (* -1 x) (* eps x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (.f64 x eps) x))))
(* 1/2 (+ (exp (neg x)) (exp (* -1 x))))
(exp.f64 (neg.f64 x))
(+ (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))
(fma.f64 eps #s(literal 0 binary64) (exp.f64 (neg.f64 x)))
(+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))))))
(fma.f64 eps (fma.f64 (.f64 eps (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (exp.f64 (neg.f64 x)) #s(literal 0 binary64)) (exp.f64 (neg.f64 x)))
(+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))))
(fma.f64 eps (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (fma.f64 (exp.f64 (neg.f64 x)) (.f64 x x) (+.f64 (neg.f64 eps) eps)) #s(literal 0 binary64)) (exp.f64 (neg.f64 x)))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (.f64 x eps) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (.f64 x eps) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (.f64 x eps) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (.f64 x eps) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (.f64 x eps) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (.f64 x eps) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (.f64 x eps) x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (- (* eps x) x))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (.f64 x eps) x))))
2
#s(literal 2 binary64)
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(fma.f64 x (+.f64 eps (+.f64 #s(literal -2 binary64) (neg.f64 eps))) #s(literal 2 binary64))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
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#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+ 1 (+ (exp (neg x)) (* eps (* x (exp (neg x))))))
(fma.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(+ 1 (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (exp.f64 (neg.f64 x))))
(+ 1 (+ (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)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x eps) x) x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 eps eps) (.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(+ 1 (exp (- (* eps x) x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ 1 (exp (- (* eps x) x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ 1 (exp (- (* eps x) x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ 1 (exp (- (* eps x) x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ 1 (exp (- (* eps x) x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ 1 (exp (- (* eps x) x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ 1 (exp (- (* eps x) x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+ 1 (exp (- (* eps x) x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)))
1
#s(literal 1 binary64)
(+ 1 (* -2/3 x))
(fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))
(+ 1 (* -2/3 x))
(fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))
(+ 1 (* -2/3 x))
(fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))
(* -2/3 x)
(*.f64 x #s(literal -2/3 binary64))
(* x (- (/ 1 x) 2/3))
(fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 2/3))
(fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 2/3))
(fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))
(* -2/3 x)
(*.f64 x #s(literal -2/3 binary64))
(* -1 (* x (- 2/3 (/ 1 x))))
(fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))
(* -1 (* x (- 2/3 (/ 1 x))))
(fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))
(* -1 (* x (- 2/3 (/ 1 x))))
(fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval213.0ms (1.5%)

Memory: 17.6MiB live, 219.3MiB allocated
Compiler: Compiled 30 546 to 2 336 computations (92.4% saved)

prune283.0ms (2%)

Memory

-21.8MiB live, 218.8MiB allocated

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	979	18	997
Fresh	3	15	18
Picked	5	0	5
Done	0	1	1
Total	987	34	1 021

Accuracy

100.0%

Counts

1 021 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.1%	(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
	78.2%	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
	60.7%	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (.f64 eps eps))))) #s(literal 1 binary64))
	59.7%	(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 1/12 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
	53.6%	(fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
	77.2%	(fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
	47.0%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
	24.1%	(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))) #s(literal 2 binary64))
	24.0%	(/.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 #s(literal 1 binary64) x) eps)) #s(literal 2 binary64))
	17.3%	(.f64 (fma.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) #s(literal -1/12 binary64) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x x))))
	39.5%	(.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
	11.5%	(.f64 (fma.f64 (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
▶	8.7%	(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
	19.1%	(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
	19.1%	(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
▶	6.5%	(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
	27.5%	(.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 eps (.f64 x eps))))
	36.5%	(.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 binary64)))
	33.5%	(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (.f64 x #s(literal -2/3 binary64)) x) (/.f64 (.f64 (.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
	16.7%	(.f64 (.f64 eps eps) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 x x) #s(literal 4/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64))))))
	24.6%	(.f64 (.f64 eps eps) (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
▶	18.8%	(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
▶	10.5%	(.f64 (.f64 eps #s(literal -1/2 binary64)) x)
	26.7%	(.f64 x (.f64 (.f64 x x) (.f64 (*.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
	10.1%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
	64.7%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x 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 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
▶	88.1%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))
	88.1%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
	66.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) #s(literal 1 binary64)))
	68.1%	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
	58.9%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
	31.8%	(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 (.f64 x eps) x)))
	73.6%	(exp.f64 (neg.f64 x))
✓	48.0%	#s(literal 1 binary64)

Compiler

Compiled 1 419 to 829 computations (41.6% saved)

simplify464.0ms (3.2%)

Memory

14.4MiB live, 416.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) eps)
✓	cost-diff	0	(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
✓	cost-diff	768	(fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
✓	cost-diff	0	(*.f64 eps (neg.f64 eps))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) eps)
✓	cost-diff	0	(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
✓	cost-diff	128	(fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
✓	cost-diff	0	(*.f64 eps #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 (.f64 eps #s(literal -1/2 binary64)) x)
✓	cost-diff	0	(*.f64 x eps)
✓	cost-diff	0	(exp.f64 (*.f64 x eps))
✓	cost-diff	0	(+.f64 (exp.f64 (*.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))

Rules

12 206×	`lower-fma.f32`
12 196×	`lower-fma.f64`
3 616×	`lower-+.f32`
3 608×	`lower-+.f64`
3 548×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	393
0	80	372
1	156	372
2	396	372
3	1543	372
4	6457	372
0	8555	366

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (*.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))
(exp.f64 (*.f64 x eps))
(*.f64 x eps)
x
eps
(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x eps x)
(.f64 (.f64 eps #s(literal -1/2 binary64)) x)
(*.f64 eps #s(literal -1/2 binary64))
eps
#s(literal -1/2 binary64)
x
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
(*.f64 eps eps)
eps
(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 x x)
x
(*.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
(+.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(*.f64 eps (neg.f64 eps))
(neg.f64 eps)
(.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))
(+.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))
(+.f64 eps (/.f64 #s(literal -1 binary64) eps))
(/.f64 #s(literal -1 binary64) eps)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1/12 binary64)
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
(+.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
eps
(/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps))
(fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))
(*.f64 eps eps)
(-.f64 (/.f64 #s(literal 1 binary64) eps) eps)
(/.f64 #s(literal 1 binary64) eps)
(fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))
(+.f64 eps (/.f64 #s(literal -1 binary64) eps))
(/.f64 #s(literal -1 binary64) eps)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1/12 binary64)

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (*.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))
(exp.f64 (*.f64 x eps))
(*.f64 x eps)
x
eps
(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x eps x)
(.f64 (.f64 eps #s(literal -1/2 binary64)) x)
(.f64 (.f64 x eps) #s(literal -1/2 binary64))
(*.f64 eps #s(literal -1/2 binary64))
eps
#s(literal -1/2 binary64)
x
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
(.f64 x (.f64 x (.f64 x (.f64 eps (*.f64 eps #s(literal -1/3 binary64))))))
(*.f64 eps eps)
eps
(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 x x)
x
(*.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (.f64 (.f64 x x) (-.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) (.f64 eps (fma.f64 eps eps eps)))) (*.f64 x #s(literal 1/12 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
(-.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))) (*.f64 eps (fma.f64 eps eps eps)))
(+.f64 #s(literal 1 binary64) eps)
(+.f64 eps #s(literal 1 binary64))
#s(literal 1 binary64)
eps
(*.f64 eps (neg.f64 eps))
(neg.f64 eps)
(.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))
(.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))))
(+.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps (/.f64 #s(literal -1 binary64) eps))
(-.f64 eps (/.f64 #s(literal 1 binary64) eps))
(/.f64 #s(literal -1 binary64) eps)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1/12 binary64)
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/12 binary64) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))))
(fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (/.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) eps)
(+.f64 eps #s(literal 1 binary64))
#s(literal 1 binary64)
eps
(/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps)))
(.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps))
(fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))
(*.f64 eps eps)
(-.f64 (/.f64 #s(literal 1 binary64) eps) eps)
(/.f64 #s(literal 1 binary64) eps)
(fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))
(+.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))
(.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))
(+.f64 eps (/.f64 #s(literal -1 binary64) eps))
(-.f64 eps (/.f64 #s(literal 1 binary64) eps))
(/.f64 #s(literal -1 binary64) eps)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1/12 binary64)

localize454.0ms (3.2%)

Memory

-9.9MiB live, 469.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
✓	accuracy	85.0%	(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
✓	accuracy	58.4%	(/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	5.1%	(fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
✓	accuracy	80.7%	(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
✓	accuracy	44.8%	(fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	99.9%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/3 binary64))
✓	accuracy	77.8%	(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
✓	accuracy	100.0%	(*.f64 eps #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 eps #s(literal -1/2 binary64)) x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))
✓	accuracy	100.0%	(exp.f64 (*.f64 x eps))
✓	accuracy	100.0%	(exp.f64 #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 (exp.f64 (*.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))

Samples

271.0ms	246×	1	valid
4.0ms	3×	2	valid
2.0ms	7×	0	valid

Compiler

Compiled 412 to 48 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-mult: 76.0ms (35% of total)

adjust: 68.0ms (31.3% of total)

ival-add: 19.0ms (8.8% of total)

ival-pow: 19.0ms (8.8% of total)

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

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

const: 7.0ms (3.2% of total)

ival-neg: 2.0ms (0.9% of total)

ival-sub: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series46.0ms (0.3%)

Memory

25.9MiB live, 64.6MiB allocated

Counts

21 → 336

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))>
#<alt (+.f64 (exp.f64 (*.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))>
#<alt (exp.f64 (*.f64 x eps))>
#<alt (*.f64 x eps)>
#<alt (.f64 (.f64 eps #s(literal -1/2 binary64)) x)>
#<alt (*.f64 eps #s(literal -1/2 binary64))>
#<alt (.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))>
#<alt (*.f64 eps eps)>
#<alt (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))>
#<alt (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) eps)>
#<alt (*.f64 eps (neg.f64 eps))>
#<alt (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))>
#<alt (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))>
#<alt (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 #s(literal -1 binary64))>
#<alt (*.f64 x #s(literal -1/3 binary64))>
#<alt (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))>
#<alt (.f64 x (.f64 x x))>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* -1 x))))>
#<alt (+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))>
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))>
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))>
#<alt 2>
#<alt (+ 2 (* x (+ eps (* -1 (+ 1 eps)))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (* eps x)))>
#<alt (+ 1 (exp (* -1 x)))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))>
#<alt (+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))>
#<alt (+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/2 eps)>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -1 eps)>
#<alt (/ (- (* 2 eps) 1) eps)>
#<alt (/ (- (* eps (+ 2 (* -3 (pow eps 2)))) 1) eps)>
#<alt (/ (- (* eps (+ 2 (* -3 (pow eps 2)))) 1) eps)>
#<alt (* -3 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) 3))>
#<alt (* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) (+ 3 (/ 1 (pow eps 3)))))>
#<alt (* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) (+ 3 (/ 1 (pow eps 3)))))>
#<alt (* -3 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) 3))>
#<alt (* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) (+ 3 (/ 1 (pow eps 3)))))>
#<alt (* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) (+ 3 (/ 1 (pow eps 3)))))>
#<alt (* -1/12 (/ (pow x 3) eps))>
#<alt (/ (+ (* -1/12 (pow x 3)) (* 1/6 (* eps (pow x 3)))) eps)>
#<alt (/ (+ (* -1/12 (pow x 3)) (* eps (+ (* -1/4 (* (pow eps 2) (pow x 3))) (* 1/6 (pow x 3))))) eps)>
#<alt (/ (+ (* -1/12 (pow x 3)) (* eps (+ (* -1/4 (* (pow eps 2) (pow x 3))) (* 1/6 (pow x 3))))) eps)>
#<alt (* -1/4 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* -1/4 (pow x 3)) (* 1/6 (/ (pow x 3) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/4 (pow x 3)) (+ (* -1/12 (/ (pow x 3) (pow eps 3))) (* 1/6 (/ (pow x 3) (pow eps 2))))))>
#<alt (* (pow eps 2) (+ (* -1/4 (pow x 3)) (+ (* -1/12 (/ (pow x 3) (pow eps 3))) (* 1/6 (/ (pow x 3) (pow eps 2))))))>
#<alt (* -1/4 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* -1/4 (pow x 3)) (* 1/6 (/ (pow x 3) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/4 (pow x 3)) (+ (* -1/12 (/ (pow x 3) (pow eps 3))) (* 1/6 (/ (pow x 3) (pow eps 2))))))>
#<alt (* (pow eps 2) (+ (* -1/4 (pow x 3)) (+ (* -1/12 (/ (pow x 3) (pow eps 3))) (* 1/6 (/ (pow x 3) (pow eps 2))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))>
#<alt 1>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (pow eps 2))>
#<alt 4>
#<alt (+ 4 (* -4 (pow eps 2)))>
#<alt (+ 4 (* -4 (pow eps 2)))>
#<alt (+ 4 (* -4 (pow eps 2)))>
#<alt (* -4 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* -4 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))>
#<alt (* 1/3 (pow x 3))>
#<alt (+ (* -1/3 (* (pow eps 2) (pow x 3))) (* 1/3 (pow x 3)))>
#<alt (+ (* -1/3 (* (pow eps 2) (pow x 3))) (* 1/3 (pow x 3)))>
#<alt (+ (* -1/3 (* (pow eps 2) (pow x 3))) (* 1/3 (pow x 3)))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))>
#<alt (* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 eps) eps)>
#<alt (/ (+ 1 (* eps (+ 1 (* -1 eps)))) eps)>
#<alt (/ (+ 1 (* eps (+ 1 (* eps (- (* -1 eps) 1))))) eps)>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 1 (/ 1 eps))))>
#<alt (* (pow eps 2) (- (/ 1 (pow eps 2)) (+ 1 (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ (/ 1 (pow eps 2)) (/ 1 (pow eps 3))) (+ 1 (/ 1 eps))))>
#<alt (* -1 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 1 (/ 1 eps))))>
#<alt (* (pow eps 2) (- (* -1 (/ (- 1 (/ 1 eps)) eps)) 1))>
#<alt (* (pow eps 2) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 eps)) eps))) eps)) 1))>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

84 calls:

Time	Variable		Point	Expression
14.0ms	eps	@	inf	(+ (* (+ 1 eps) (/ (* (+ (* eps (* eps eps)) 1) (- (/ 1 eps) eps)) (+ (* eps (+ eps -1)) 1))) (* (+ eps -1) (* (+ eps -1) (+ eps (/ -1 eps)))))
9.0ms	eps	@	0	(+ (* (+ 1 eps) (/ (* (+ (* eps (* eps eps)) 1) (- (/ 1 eps) eps)) (+ (* eps (+ eps -1)) 1))) (* (+ eps -1) (* (+ eps -1) (+ eps (/ -1 eps)))))
2.0ms	x	@	0	(* (+ (* (+ 1 eps) (/ (* (+ (* eps (* eps eps)) 1) (- (/ 1 eps) eps)) (+ (* eps (+ eps -1)) 1))) (* (+ eps -1) (* (+ eps -1) (+ eps (/ -1 eps))))) (* (* x (* x x)) 1/12))
2.0ms	eps	@	0	(* 1/2 (+ (exp (* x eps)) (pow (exp -1) (+ (* x eps) x))))
1.0ms	x	@	0	(* (+ (* (+ 1 eps) (* eps (neg eps))) (* (+ eps -1) (* (+ eps -1) (+ eps (/ -1 eps))))) (* (* x (* x x)) 1/12))

rewrite334.0ms (2.3%)

Memory

-17.4MiB live, 820.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 646×	`lower-*.f32`
5 612×	`lower-*.f64`
4 598×	`lower-fma.f32`
4 588×	`lower-fma.f64`
3 132×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	238
0	80	223
1	291	186
2	2391	186
0	8193	186

Stop Event

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

Counts

21 → 600

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))
(+.f64 (exp.f64 (*.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)))
(exp.f64 (*.f64 x eps))
(*.f64 x eps)
(.f64 (.f64 eps #s(literal -1/2 binary64)) x)
(*.f64 eps #s(literal -1/2 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
(*.f64 eps eps)
(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 x x)
(fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(+.f64 #s(literal 1 binary64) eps)
(*.f64 eps (neg.f64 eps))
(fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 #s(literal -1 binary64))
(*.f64 x #s(literal -1/3 binary64))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
(.f64 x (.f64 x x))

Outputs
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps)) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))))
(fma.f64 (exp.f64 (.f64 x eps)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))))
(fma.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x eps))) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))))
(fma.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (fma.f64 x eps x) #s(literal 1/2 binary64)))) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (fma.f64 x eps x) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 x eps)))) (exp.f64 (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (fma.f64 x eps x) #s(literal 1/2 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (fma.f64 x eps x) #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
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(fma.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (fma.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))))) (fma.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (-.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))) (.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))))))
(/.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.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)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))) (-.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.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)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))
(/.f64 (.f64 (fma.f64 (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))))) (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (fma.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (-.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))) (.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))))))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.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)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))) (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (-.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.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)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))
(.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))) (.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))))))
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/12 binary64) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))) (.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))))))
(.f64 #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))) (.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))))))
(.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))) (.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))))
(.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))) (.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))))) #s(literal 1/12 binary64))
(.f64 (.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))) x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(.f64 (.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (neg.f64 (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps))))
(neg.f64 (/.f64 (neg.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps))) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps))
(/.f64 (neg.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps))) (neg.f64 (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (.f64 (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64))) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps))))
(/.f64 (.f64 (.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps))) (fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps))) (fma.f64 eps (.f64 eps eps) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64))))
(.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 eps #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)))
(.f64 (neg.f64 (.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 (-.f64 (.f64 eps eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 eps (-.f64 (.f64 eps eps) eps))) #s(literal 1 binary64))) (-.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 eps (-.f64 (.f64 eps eps) eps)) #s(literal 1 binary64)) (-.f64 (.f64 eps eps) eps)))
(.f64 (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 (-.f64 (.f64 eps eps) eps) (-.f64 (*.f64 eps eps) eps) #s(literal -1 binary64))) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 #s(literal -1 binary64))
(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) x)
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(.f64 (.f64 #s(literal 1/12 binary64) x) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

simplify415.0ms (2.9%)

Memory

-0.4MiB live, 1 075.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 260×	`lower-fma.f64`
15 260×	`lower-fma.f32`
6 390×	`lower-+.f64`
6 390×	`lower-+.f32`
5 288×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	3318
1	816	3215
2	2699	3103
0	8151	3001

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 334

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (* eps x))))
(* 1/2 (+ 1 (exp (* -1 x))))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x))))
2
(+ 2 (* x (+ eps (* -1 (+ 1 eps)))))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))
(+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))
(+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (* eps x)))
(+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (* eps x)))
(+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (* eps x)))
(+ (exp (* -1 (- (* eps x) (* -1 x)))) (exp (* eps x)))
(+ 1 (exp (* -1 x)))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))
(+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))
(+ (exp (* -1 (+ x (* eps x)))) (exp (* eps x)))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
1
(+ 1 (* eps x))
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 (* eps x))
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/2 eps)
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -1 eps)
(/ (- (* 2 eps) 1) eps)
(/ (- (* eps (+ 2 (* -3 (pow eps 2)))) 1) eps)
(/ (- (* eps (+ 2 (* -3 (pow eps 2)))) 1) eps)
(* -3 (pow eps 2))
(* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) 3))
(* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) (+ 3 (/ 1 (pow eps 3)))))
(* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) (+ 3 (/ 1 (pow eps 3)))))
(* -3 (pow eps 2))
(* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) 3))
(* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) (+ 3 (/ 1 (pow eps 3)))))
(* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) (+ 3 (/ 1 (pow eps 3)))))
(* -1/12 (/ (pow x 3) eps))
(/ (+ (* -1/12 (pow x 3)) (* 1/6 (* eps (pow x 3)))) eps)
(/ (+ (* -1/12 (pow x 3)) (* eps (+ (* -1/4 (* (pow eps 2) (pow x 3))) (* 1/6 (pow x 3))))) eps)
(/ (+ (* -1/12 (pow x 3)) (* eps (+ (* -1/4 (* (pow eps 2) (pow x 3))) (* 1/6 (pow x 3))))) eps)
(* -1/4 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* -1/4 (pow x 3)) (* 1/6 (/ (pow x 3) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/4 (pow x 3)) (+ (* -1/12 (/ (pow x 3) (pow eps 3))) (* 1/6 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 2) (+ (* -1/4 (pow x 3)) (+ (* -1/12 (/ (pow x 3) (pow eps 3))) (* 1/6 (/ (pow x 3) (pow eps 2))))))
(* -1/4 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* -1/4 (pow x 3)) (* 1/6 (/ (pow x 3) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/4 (pow x 3)) (+ (* -1/12 (/ (pow x 3) (pow eps 3))) (* 1/6 (/ (pow x 3) (pow eps 2))))))
(* (pow eps 2) (+ (* -1/4 (pow x 3)) (+ (* -1/12 (/ (pow x 3) (pow eps 3))) (* 1/6 (/ (pow x 3) (pow eps 2))))))
(* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
(* 1/12 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 1 eps))) (* (pow (- eps 1) 2) (- eps (/ 1 eps))))))
1
(+ 1 eps)
(+ 1 eps)
(+ 1 eps)
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
(* -1 (pow eps 2))
4
(+ 4 (* -4 (pow eps 2)))
(+ 4 (* -4 (pow eps 2)))
(+ 4 (* -4 (pow eps 2)))
(* -4 (pow eps 2))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* -4 (pow eps 2))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* (pow eps 2) (- (* 4 (/ 1 (pow eps 2))) 4))
(* 1/3 (pow x 3))
(+ (* -1/3 (* (pow eps 2) (pow x 3))) (* 1/3 (pow x 3)))
(+ (* -1/3 (* (pow eps 2) (pow x 3))) (* 1/3 (pow x 3)))
(+ (* -1/3 (* (pow eps 2) (pow x 3))) (* 1/3 (pow x 3)))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))
(* (pow eps 2) (+ (* -1/3 (pow x 3)) (* 1/3 (/ (pow x 3) (pow eps 2)))))
(* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))
(* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))
(* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))
(* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))
(* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))
(* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))
(* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))
(* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))
(* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))
(* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))
(* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))
(* 1/12 (* (pow x 3) (+ (* (pow (- eps 1) 2) (- eps (/ 1 eps))) (/ (* (+ 1 eps) (* (+ 1 (pow eps 3)) (- (/ 1 eps) eps))) (+ 1 (* eps (- eps 1)))))))
(/ 1 eps)
(/ (+ 1 eps) eps)
(/ (+ 1 (* eps (+ 1 (* -1 eps)))) eps)
(/ (+ 1 (* eps (+ 1 (* eps (- (* -1 eps) 1))))) eps)
(* -1 (pow eps 2))
(* -1 (* (pow eps 2) (+ 1 (/ 1 eps))))
(* (pow eps 2) (- (/ 1 (pow eps 2)) (+ 1 (/ 1 eps))))
(* (pow eps 2) (- (+ (/ 1 (pow eps 2)) (/ 1 (pow eps 3))) (+ 1 (/ 1 eps))))
(* -1 (pow eps 2))
(* -1 (* (pow eps 2) (+ 1 (/ 1 eps))))
(* (pow eps 2) (- (* -1 (/ (- 1 (/ 1 eps)) eps)) 1))
(* (pow eps 2) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 eps)) eps))) eps)) 1))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

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

eval141.0ms (1%)

Memory: 16.6MiB live, 361.2MiB allocated
Compiler: Compiled 46 522 to 2 511 computations (94.6% saved)

prune145.0ms (1%)

Memory

-20.5MiB live, 348.7MiB allocated

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	1 055	9	1 064
Fresh	4	24	28
Picked	1	4	5
Done	0	1	1
Total	1 060	38	1 098

Accuracy

100.0%

Counts

1 098 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.1%	(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
	78.2%	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
	60.7%	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (.f64 eps eps))))) #s(literal 1 binary64))
	59.7%	(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 1/12 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
	53.6%	(fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
	77.2%	(fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
	47.0%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
	46.2%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)))) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
	17.3%	(/.f64 (fma.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 eps eps) #s(literal -1/4 binary64) #s(literal 1/6 binary64))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/12 binary64)))) eps)
	24.1%	(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))) #s(literal 2 binary64))
	24.0%	(/.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 #s(literal 1 binary64) x) eps)) #s(literal 2 binary64))
	12.3%	(/.f64 (.f64 (.f64 x (*.f64 x x)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/12 binary64))) eps)
	17.3%	(.f64 (fma.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) #s(literal -1/12 binary64) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x x))))
	39.5%	(.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
	19.1%	(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
	19.1%	(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
✓	6.5%	(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
	27.5%	(.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 eps (.f64 x eps))))
	9.2%	(.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
	6.5%	(.f64 (fma.f64 #s(literal 1 binary64) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
	5.1%	(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (.f64 eps (neg.f64 eps))))) (.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
	88.1%	(.f64 (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))
	23.8%	(.f64 (.f64 (.f64 x (.f64 eps (*.f64 x eps))) x) #s(literal -1/3 binary64))
	10.1%	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
	36.5%	(.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 binary64)))
	33.5%	(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (.f64 x #s(literal -2/3 binary64)) x) (/.f64 (.f64 (.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
	16.7%	(.f64 (.f64 eps eps) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 x x) #s(literal 4/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64))))))
	24.6%	(.f64 (.f64 eps eps) (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
✓	18.8%	(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
✓	10.5%	(.f64 (.f64 eps #s(literal -1/2 binary64)) x)
	26.7%	(.f64 x (.f64 (.f64 x x) (.f64 (*.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
	64.7%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x 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 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
✓	88.1%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))
	66.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) #s(literal 1 binary64)))
	58.9%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
	31.8%	(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 (.f64 x eps) x)))
	73.6%	(exp.f64 (neg.f64 x))
✓	48.0%	#s(literal 1 binary64)

Compiler

Compiled 2 261 to 784 computations (65.3% saved)

regimes66.0ms (0.5%)

Memory

11.5MiB live, 169.0MiB allocated

Counts

60 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 (.f64 x eps) x)))
(.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
(.f64 (.f64 (.f64 x (.f64 eps (*.f64 x eps))) x) #s(literal -1/3 binary64))
(.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 eps (.f64 x eps))))
(fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 x (*.f64 x x)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/12 binary64))) eps)
(.f64 x (.f64 (.f64 x x) (.f64 (*.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (.f64 eps eps))))) #s(literal 1 binary64))
(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 1/12 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 eps eps) #s(literal -1/4 binary64) #s(literal 1/6 binary64))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/12 binary64)))) eps)
(.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(.f64 (fma.f64 #s(literal 1 binary64) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (.f64 eps eps) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 x x) #s(literal 4/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64))))))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (.f64 eps (*.f64 eps (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (.f64 x #s(literal -2/3 binary64)) x) (/.f64 (.f64 (.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))) #s(literal 2 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)))) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 x (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (.f64 eps (neg.f64 eps))))) (.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) 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)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)) #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 #s(literal 1 binary64) x) eps)) #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(literal 1 binary64))) #s(literal 2 binary64))
(.f64 (fma.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) #s(literal -1/12 binary64) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x 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)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x 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 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps))) (-.f64 #s(literal -1 binary64) eps)) #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)) (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)))) #s(literal 2 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (.f64 x (.f64 #s(literal 1/6 binary64) (fma.f64 (+.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 eps #s(literal 1 binary64)) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #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)) (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)))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(.f64 (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x 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)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x)))) #s(literal 2 binary64))

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

Calls

4 calls:

17.0ms	x
17.0ms	eps
15.0ms	(/.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))
13.0ms	(-.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
99.5%	1	`x`
99.5%	1	`eps`
99.5%	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))`
99.5%	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)

regimes63.0ms (0.4%)

Memory

1.2MiB live, 160.8MiB allocated

Counts

58 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 (.f64 x eps) x)))
(.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
(.f64 (.f64 (.f64 x (.f64 eps (*.f64 x eps))) x) #s(literal -1/3 binary64))
(.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 eps (.f64 x eps))))
(fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 x (*.f64 x x)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/12 binary64))) eps)
(.f64 x (.f64 (.f64 x x) (.f64 (*.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (.f64 eps eps))))) #s(literal 1 binary64))
(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 1/12 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 eps eps) #s(literal -1/4 binary64) #s(literal 1/6 binary64))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/12 binary64)))) eps)
(.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(.f64 (fma.f64 #s(literal 1 binary64) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (.f64 eps eps) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 x x) #s(literal 4/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64))))))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (.f64 eps (*.f64 eps (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (.f64 x #s(literal -2/3 binary64)) x) (/.f64 (.f64 (.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))) #s(literal 2 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)))) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 x (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (.f64 eps (neg.f64 eps))))) (.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) 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)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)) #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 #s(literal 1 binary64) x) eps)) #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(literal 1 binary64))) #s(literal 2 binary64))
(.f64 (fma.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) #s(literal -1/12 binary64) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x 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)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x 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 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps))) (-.f64 #s(literal -1 binary64) eps)) #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)) (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)))) #s(literal 2 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (.f64 x (.f64 #s(literal 1/6 binary64) (fma.f64 (+.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 eps #s(literal 1 binary64)) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #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)) (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)))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(.f64 (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))

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

Calls

4 calls:

16.0ms	x
16.0ms	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)))))
13.0ms	(/.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
99.5%	1	`x`
99.5%	1	`eps`
99.5%	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))`
99.5%	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)

regimes60.0ms (0.4%)

Memory

2.5MiB live, 121.4MiB allocated

Counts

55 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 (.f64 x eps) x)))
(.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
(.f64 (.f64 (.f64 x (.f64 eps (*.f64 x eps))) x) #s(literal -1/3 binary64))
(.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 eps (.f64 x eps))))
(fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 x (*.f64 x x)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/12 binary64))) eps)
(.f64 x (.f64 (.f64 x x) (.f64 (*.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (.f64 eps eps))))) #s(literal 1 binary64))
(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 1/12 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 eps eps) #s(literal -1/4 binary64) #s(literal 1/6 binary64))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/12 binary64)))) eps)
(.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(.f64 (fma.f64 #s(literal 1 binary64) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (.f64 eps eps) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 x x) #s(literal 4/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64))))))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (.f64 eps (*.f64 eps (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (.f64 x #s(literal -2/3 binary64)) x) (/.f64 (.f64 (.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))) #s(literal 2 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)))) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 x (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (.f64 eps (neg.f64 eps))))) (.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) 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)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)) #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 #s(literal 1 binary64) x) eps)) #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(literal 1 binary64))) #s(literal 2 binary64))
(.f64 (fma.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) #s(literal -1/12 binary64) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x 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)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x 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 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps))) (-.f64 #s(literal -1 binary64) eps)) #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)) (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)))) #s(literal 2 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (.f64 x (.f64 #s(literal 1/6 binary64) (fma.f64 (+.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 eps #s(literal 1 binary64)) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #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)) (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)))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(.f64 (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))

Outputs

(*.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 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))

Calls

4 calls:

16.0ms	x
16.0ms	eps
13.0ms	(-.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)))))
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))

Results

Accuracy	Segments	Branch
93.0%	2	`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 (0.3%)

Memory

28.6MiB live, 66.9MiB allocated

Counts

53 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 (.f64 x eps) x)))
(.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
(.f64 (.f64 (.f64 x (.f64 eps (*.f64 x eps))) x) #s(literal -1/3 binary64))
(.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 eps (.f64 x eps))))
(fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 x (*.f64 x x)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/12 binary64))) eps)
(.f64 x (.f64 (.f64 x x) (.f64 (*.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (.f64 eps eps))))) #s(literal 1 binary64))
(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 1/12 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 eps eps) #s(literal -1/4 binary64) #s(literal 1/6 binary64))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/12 binary64)))) eps)
(.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(.f64 (fma.f64 #s(literal 1 binary64) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (.f64 eps eps) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 x x) #s(literal 4/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64))))))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (.f64 eps (*.f64 eps (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (.f64 x #s(literal -2/3 binary64)) x) (/.f64 (.f64 (.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))) #s(literal 2 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)))) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 x (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (.f64 eps (neg.f64 eps))))) (.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) 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)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)) #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 #s(literal 1 binary64) x) eps)) #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(literal 1 binary64))) #s(literal 2 binary64))
(.f64 (fma.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) #s(literal -1/12 binary64) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 x))) (neg.f64 (.f64 x (.f64 x 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)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x 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 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) eps))) (-.f64 #s(literal -1 binary64) eps)) #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)) (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)))) #s(literal 2 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (.f64 x (.f64 #s(literal 1/6 binary64) (fma.f64 (+.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 eps #s(literal 1 binary64)) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #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)) (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)))) #s(literal 2 binary64))

Outputs

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

Calls

3 calls:

14.0ms

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
95.4%	2	`eps`
96.7%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
96.7%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes42.0ms (0.3%)

Memory

-32.2MiB live, 62.1MiB allocated

Counts

44 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 (.f64 x eps) x)))
(.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
(.f64 (.f64 (.f64 x (.f64 eps (*.f64 x eps))) x) #s(literal -1/3 binary64))
(.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 eps (.f64 x eps))))
(fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 x (*.f64 x x)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/12 binary64))) eps)
(.f64 x (.f64 (.f64 x x) (.f64 (*.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (.f64 eps eps))))) #s(literal 1 binary64))
(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 1/12 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 eps eps) #s(literal -1/4 binary64) #s(literal 1/6 binary64))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/12 binary64)))) eps)
(.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(.f64 (fma.f64 #s(literal 1 binary64) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (.f64 eps eps) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 x x) #s(literal 4/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64))))))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (.f64 eps (*.f64 eps (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (.f64 x #s(literal -2/3 binary64)) x) (/.f64 (.f64 (.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))) #s(literal 2 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)))) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 x (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (.f64 eps (neg.f64 eps))))) (.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) 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)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.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 eps #s(literal 1 binary64)) eps)) (-.f64 #s(literal -1 binary64) eps))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) #s(literal 1 binary64))

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

Calls

3 calls:

13.0ms

eps

10.0ms

(-.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)))))

10.0ms

(/.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
90.1%	2	`eps`
93.5%	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))`
93.5%	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 63 to 38 computations (39.7% saved)

regimes23.0ms (0.2%)

Memory

6.6MiB live, 44.8MiB allocated

Counts

42 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 (.f64 x eps) x)))
(.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
(.f64 (.f64 (.f64 x (.f64 eps (*.f64 x eps))) x) #s(literal -1/3 binary64))
(.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 eps (.f64 x eps))))
(fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 x (*.f64 x x)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/12 binary64))) eps)
(.f64 x (.f64 (.f64 x x) (.f64 (*.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (.f64 eps eps))))) #s(literal 1 binary64))
(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 1/12 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 eps eps) #s(literal -1/4 binary64) #s(literal 1/6 binary64))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/12 binary64)))) eps)
(.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(.f64 (fma.f64 #s(literal 1 binary64) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (.f64 eps eps) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 x x) #s(literal 4/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64))))))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (.f64 eps (*.f64 eps (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (.f64 x #s(literal -2/3 binary64)) x) (/.f64 (.f64 (.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))) #s(literal 2 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)))) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (.f64 x (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (fma.f64 eps (.f64 eps eps) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 eps eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 eps eps)) (.f64 eps (neg.f64 eps))))) (.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) #s(literal 1 binary64)))

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

Calls

2 calls:

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)))))

9.0ms

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

Results

Accuracy	Segments	Branch
93.0%	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))`
93.0%	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 60 to 36 computations (40% saved)

regimes40.0ms (0.3%)

Memory

15.4MiB live, 53.2MiB allocated

Counts

34 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 (.f64 x eps) x)))
(.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
(.f64 (.f64 (.f64 x (.f64 eps (*.f64 x eps))) x) #s(literal -1/3 binary64))
(.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 eps (.f64 x eps))))
(fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 x (*.f64 x x)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/12 binary64))) eps)
(.f64 x (.f64 (.f64 x x) (.f64 (*.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (.f64 eps eps))))) #s(literal 1 binary64))
(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 1/12 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 eps eps) #s(literal -1/4 binary64) #s(literal 1/6 binary64))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/12 binary64)))) eps)
(.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(.f64 (fma.f64 #s(literal 1 binary64) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (.f64 eps eps) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 x x) #s(literal 4/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64))))))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (.f64 eps (*.f64 eps (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (.f64 x #s(literal -2/3 binary64)) x) (/.f64 (.f64 (.f64 x x) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64))) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(.f64 (fma.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (fma.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) eps) x) (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x eps x)))) #s(literal 2 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 eps eps)))) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))

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

Calls

4 calls:

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))
9.0ms	x
9.0ms	eps
8.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
78.2%	1	`eps`
88.4%	4	`x`
81.9%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
81.9%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes15.0ms (0.1%)

Memory

-28.9MiB live, 13.4MiB allocated

Counts

28 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 (.f64 x eps) x)))
(.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
(.f64 (.f64 (.f64 x (.f64 eps (*.f64 x eps))) x) #s(literal -1/3 binary64))
(.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 eps (.f64 x eps))))
(fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 x (*.f64 x x)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/12 binary64))) eps)
(.f64 x (.f64 (.f64 x x) (.f64 (*.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (.f64 eps eps))))) #s(literal 1 binary64))
(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 1/12 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 eps eps) #s(literal -1/4 binary64) #s(literal 1/6 binary64))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/12 binary64)))) eps)
(.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(.f64 (fma.f64 #s(literal 1 binary64) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (.f64 eps (neg.f64 eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 (.f64 eps eps) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8/27 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 x x) #s(literal 4/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2/3 binary64))))))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (.f64 (+.f64 eps #s(literal -1 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))

Outputs

(fma.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (*.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))

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

(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
86.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 (.f64 x eps) x)))
(.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
(.f64 (.f64 (.f64 x (.f64 eps (*.f64 x eps))) x) #s(literal -1/3 binary64))
(.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 eps (.f64 x eps))))
(fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 x (*.f64 x x)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/12 binary64))) eps)
(.f64 x (.f64 (.f64 x x) (.f64 (*.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (.f64 eps eps))))) #s(literal 1 binary64))
(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 1/12 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 eps eps) #s(literal -1/4 binary64) #s(literal 1/6 binary64))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/12 binary64)))) eps)

Outputs

(fma.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (*.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))

(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 1/12 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64))) #s(literal 1 binary64))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
83.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

19 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 eps #s(literal -1/2 binary64)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 (.f64 x eps) x)))
(.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 x #s(literal 2/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64))))
(.f64 (.f64 (.f64 x (.f64 eps (*.f64 x eps))) x) #s(literal -1/3 binary64))
(.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 eps (.f64 x eps))))
(fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 x (*.f64 x x)) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/12 binary64))) eps)
(.f64 x (.f64 (.f64 x x) (.f64 (*.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 eps (-.f64 x (/.f64 x (.f64 eps eps))))) #s(literal 1 binary64))

Outputs

(fma.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (*.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
83.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
81.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory

-14.8MiB live, 23.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 binary64)))

Calls

4 calls:

7.0ms	x
3.0ms	eps
3.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
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
68.0%	2	`eps`
77.5%	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))`
77.5%	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)))))`
75.7%	3	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes6.0ms (0%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 (.f64 x eps) x)))

Calls

2 calls:

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
74.4%	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))`
74.4%	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)

regimes13.0ms (0.1%)

Memory

-17.9MiB live, 20.5MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(/.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	x
3.0ms	eps
2.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))

Results

Accuracy	Segments	Branch
53.6%	1	`eps`
61.6%	2	`x`
53.6%	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))`
53.6%	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)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs
(.f64 eps (.f64 x #s(literal -1/2 binary64)))
#s(literal 1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
55.5%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
48.0%	1	`eps`
48.0%	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))`
48.0%	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)))))`
48.0%	1	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0000000000290505	2.080813743377258

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0000000000290505	2.080813743377258

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0000000000290505	2.080813743377258

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch133.0ms (0.9%)

Memory

-5.2MiB live, 153.1MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
51.0ms	6.969541534954022e-10	0.0879516339494656
46.0ms	1.8872994995959936e-266	5.909085714578359e-265
26.0ms	-9.474147483172282e-233	-4.596019467380378e-235

Samples

70.0ms	156×	1	valid
37.0ms	212×	0	valid

Compiler

Compiled 996 to 636 computations (36.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 27.0ms (33% of total)

ival-exp: 24.0ms (29.4% of total)

ival-div: 8.0ms (9.8% of total)

ival-sub: 7.0ms (8.6% of total)

adjust: 5.0ms (6.1% of total)

ival-add: 5.0ms (6.1% of total)

ival-neg: 4.0ms (4.9% of total)

exact: 1.0ms (1.2% of total)

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

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

bsearch2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.969541534954022e-10	0.0879516339494656
1.0ms	1.8872994995959936e-266	5.909085714578359e-265

Compiler

Compiled 611 to 405 computations (33.7% saved)

bsearch28.0ms (0.2%)

Memory

-7.0MiB live, 32.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.5483074502015855e+42	2.3591393107044957e+43
1.0ms	1.8872994995959936e-266	5.909085714578359e-265

Samples

21.0ms

96×

valid

Compiler

Compiled 596 to 377 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-exp: 12.0ms (65.4% of total)

ival-mult: 2.0ms (10.9% of total)

ival-div: 1.0ms (5.5% of total)

ival-add: 1.0ms (5.5% of total)

ival-sub: 1.0ms (5.5% of total)

ival-neg: 1.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch33.0ms (0.2%)

Memory

-1.1MiB live, 42.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	0.0879516339494656	2.637929094556709
1.0ms	1.8872994995959936e-266	5.909085714578359e-265

Samples

19.0ms	55×	1	valid
6.0ms	57×	0	valid

Compiler

Compiled 426 to 290 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-exp: 6.0ms (28.4% of total)

ival-sub: 4.0ms (18.9% of total)

ival-mult: 4.0ms (18.9% of total)

adjust: 2.0ms (9.5% of total)

ival-div: 2.0ms (9.5% of total)

ival-neg: 1.0ms (4.7% of total)

ival-add: 1.0ms (4.7% of total)

exact: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0879516339494656	2.637929094556709

Compiler

Compiled 209 to 143 computations (31.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.4291120948842657	5.705693825986519

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.4291120948842657	5.705693825986519

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch29.0ms (0.2%)

Memory

4.0MiB live, 42.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-0.49434772861764126	-0.013418306493332257

Samples

12.0ms	41×	1	valid
9.0ms	71×	0	valid

Compiler

Compiled 160 to 122 computations (23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 4.0ms (22.4% of total)

ival-exp: 4.0ms (22.4% of total)

ival-mult: 3.0ms (16.8% of total)

ival-sub: 2.0ms (11.2% of total)

adjust: 1.0ms (5.6% of total)

ival-neg: 1.0ms (5.6% of total)

ival-add: 1.0ms (5.6% of total)

exact: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-0.49434772861764126	-0.013418306493332257

Compiler

Compiled 118 to 94 computations (20.3% saved)

simplify63.0ms (0.4%)

Memory

-5.0MiB live, 71.5MiB allocated

Algorithm

1×	egg-herbie

Rules

496×	`distribute-lft-neg-in_binary64`
268×	`neg-mul-1_binary64`
254×	`neg-sub0_binary64`
176×	`sub-neg_binary64`
176×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	626
1	203	626
2	247	614
3	302	614
4	375	614
5	554	614
6	751	614
7	950	614
8	1137	614
9	1257	614
10	1346	614
11	1407	614
12	1447	614
13	1465	614
14	1475	614
15	1478	614

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(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)) (.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 (.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(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 2308094809027379/1125899906842624 binary64)) (.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 (-.f64 (.f64 x eps) x)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 #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 2308094809027379/1125899906842624 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.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 2308094809027379/1125899906842624 binary64)) (exp.f64 (neg.f64 x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 eps eps)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -5034182329419427/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 binary64)) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (.f64 eps (.f64 eps (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5264097942609339/9076030935533343889148330677184451660957398691768765008885326289770145612551296225251271450782204288267814476258502032778653474399077793626653018683486295323382390383590453332169716856898789897889643528945016096228440849041002686084943230837088977557446564364344140092918489677824 binary64)) (fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 6124895493223875/72057594037927936 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(if (<=.f64 x #s(literal 5264097942609339/9076030935533343889148330677184451660957398691768765008885326289770145612551296225251271450782204288267814476258502032778653474399077793626653018683486295323382390383590453332169716856898789897889643528945016096228440849041002686084943230837088977557446564364344140092918489677824 binary64)) (fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 6124895493223875/72057594037927936 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(if (<=.f64 x #s(literal 5264097942609339/9076030935533343889148330677184451660957398691768765008885326289770145612551296225251271450782204288267814476258502032778653474399077793626653018683486295323382390383590453332169716856898789897889643528945016096228440849041002686084943230837088977557446564364344140092918489677824 binary64)) (fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3600000000000000099691563676804286683021312 binary64)) (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 1/12 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 eps eps) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 5264097942609339/9076030935533343889148330677184451660957398691768765008885326289770145612551296225251271450782204288267814476258502032778653474399077793626653018683486295323382390383590453332169716856898789897889643528945016096228440849041002686084943230837088977557446564364344140092918489677824 binary64)) (fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5854679515581645/2251799813685248 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 eps eps) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 5854679515581645/2251799813685248 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 eps eps) #s(literal 1/2 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 5 binary64)) #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 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 5 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 (.f64 x eps) x))))
(if (<=.f64 x #s(literal -2206763817411543/4503599627370496 binary64)) (.f64 eps (.f64 x #s(literal -1/2 binary64))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -2206763817411543/4503599627370496 binary64)) (.f64 eps (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(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)) (.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 (.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps 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 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (.f64 x eps)))))
(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 2308094809027379/1125899906842624 binary64)) (.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 (-.f64 (.f64 x eps) x)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)) (+.f64 #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 (.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 2308094809027379/1125899906842624 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (fma.f64 x (fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))))
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(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 2308094809027379/1125899906842624 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.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 2308094809027379/1125899906842624 binary64)) (exp.f64 (neg.f64 x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.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 (.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 2308094809027379/1125899906842624 binary64)) (exp.f64 (neg.f64 x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 eps eps)) #s(literal 1 binary64)))
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(if (<=.f64 x #s(literal -5034182329419427/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 binary64)) (fma.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (fma.f64 x (.f64 eps (.f64 eps (fma.f64 x #s(literal -2/3 binary64) #s(literal 1 binary64)))) (+.f64 (/.f64 (+.f64 eps #s(literal -1 binary64)) eps) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5264097942609339/9076030935533343889148330677184451660957398691768765008885326289770145612551296225251271450782204288267814476258502032778653474399077793626653018683486295323382390383590453332169716856898789897889643528945016096228440849041002686084943230837088977557446564364344140092918489677824 binary64)) (fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 6124895493223875/72057594037927936 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps))) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(if (<=.f64 x #s(literal 5264097942609339/9076030935533343889148330677184451660957398691768765008885326289770145612551296225251271450782204288267814476258502032778653474399077793626653018683486295323382390383590453332169716856898789897889643528945016096228440849041002686084943230837088977557446564364344140092918489677824 binary64)) (fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 6124895493223875/72057594037927936 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(if (<=.f64 x #s(literal 5264097942609339/9076030935533343889148330677184451660957398691768765008885326289770145612551296225251271450782204288267814476258502032778653474399077793626653018683486295323382390383590453332169716856898789897889643528945016096228440849041002686084943230837088977557446564364344140092918489677824 binary64)) (fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 6124895493223875/72057594037927936 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps))) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(if (<=.f64 x #s(literal 5264097942609339/9076030935533343889148330677184451660957398691768765008885326289770145612551296225251271450782204288267814476258502032778653474399077793626653018683486295323382390383590453332169716856898789897889643528945016096228440849041002686084943230837088977557446564364344140092918489677824 binary64)) (fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3600000000000000099691563676804286683021312 binary64)) (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 1/12 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 eps eps) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 5264097942609339/9076030935533343889148330677184451660957398691768765008885326289770145612551296225251271450782204288267814476258502032778653474399077793626653018683486295323382390383590453332169716856898789897889643528945016096228440849041002686084943230837088977557446564364344140092918489677824 binary64)) (fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3600000000000000099691563676804286683021312 binary64)) (fma.f64 x (fma.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal 1/12 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(if (<=.f64 x #s(literal 5264097942609339/9076030935533343889148330677184451660957398691768765008885326289770145612551296225251271450782204288267814476258502032778653474399077793626653018683486295323382390383590453332169716856898789897889643528945016096228440849041002686084943230837088977557446564364344140092918489677824 binary64)) (fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5854679515581645/2251799813685248 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 eps eps) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 5264097942609339/9076030935533343889148330677184451660957398691768765008885326289770145612551296225251271450782204288267814476258502032778653474399077793626653018683486295323382390383590453332169716856898789897889643528945016096228440849041002686084943230837088977557446564364344140092918489677824 binary64)) (fma.f64 x (.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 5854679515581645/2251799813685248 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(if (<=.f64 x #s(literal 5854679515581645/2251799813685248 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 eps eps) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 5854679515581645/2251799813685248 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(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 5 binary64)) #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/2 binary64))))
(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 5 binary64)) #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 eps eps))))
(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 5 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 (.f64 x eps) 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 5 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 eps (.f64 x (.f64 x eps)))))
(if (<=.f64 x #s(literal -2206763817411543/4503599627370496 binary64)) (.f64 eps (.f64 x #s(literal -1/2 binary64))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) eps #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -2206763817411543/4503599627370496 binary64)) (.f64 eps (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.5s (10.8%)

Memory

17.6MiB live, 1 050.0MiB allocated

Rules

15 560×	`lower-fma.f64`
15 560×	`lower-fma.f32`
15 240×	`lower-fma.f64`
15 240×	`lower-fma.f32`
12 358×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	3520
1	1050	3312
2	3315	3131
0	8256	2994
0	261	2726
1	841	2350
2	2887	2109
0	8128	1968
0	51	705
0	101	693
1	499	683
2	5656	683
0	8637	677
0	623	9047
1	2185	8517
2	7655	8497
0	8957	7980

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

Compiler

Compiled 1 044 to 426 computations (59.2% saved)

preprocess102.0ms (0.7%)

Memory: 13.4MiB live, 165.4MiB allocated
Remove: (abs eps)
Compiler: Compiled 1 402 to 358 computations (74.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze28.0ms (0.2%)

sample2.6s (17.8%)

preprocess332.0ms (2.3%)

explain357.0ms (2.5%)

eval10.0ms (0.1%)

prune1.0ms (0%)

simplify306.0ms (2.1%)

localize84.0ms (0.6%)

series34.0ms (0.2%)

rewrite341.0ms (2.4%)

simplify379.0ms (2.6%)

eval84.0ms (0.6%)

prune200.0ms (1.4%)

simplify705.0ms (4.9%)

localize644.0ms (4.5%)

series96.0ms (0.7%)

rewrite579.0ms (4%)

simplify520.0ms (3.6%)

eval247.0ms (1.7%)

prune179.0ms (1.2%)

simplify359.0ms (2.5%)

localize273.0ms (1.9%)

series34.0ms (0.2%)

rewrite306.0ms (2.1%)

simplify851.0ms (5.9%)

eval213.0ms (1.5%)

prune283.0ms (2%)

simplify464.0ms (3.2%)

localize454.0ms (3.2%)

series46.0ms (0.3%)

rewrite334.0ms (2.3%)

simplify415.0ms (2.9%)

eval141.0ms (1%)

prune145.0ms (1%)

regimes66.0ms (0.5%)

regimes63.0ms (0.4%)

regimes60.0ms (0.4%)

regimes41.0ms (0.3%)

regimes42.0ms (0.3%)

regimes23.0ms (0.2%)

regimes40.0ms (0.3%)

regimes15.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes16.0ms (0.1%)

regimes6.0ms (0%)

regimes13.0ms (0.1%)

regimes2.0ms (0%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch133.0ms (0.9%)

bsearch2.0ms (0%)

bsearch28.0ms (0.2%)

bsearch33.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch29.0ms (0.2%)

bsearch1.0ms (0%)

simplify63.0ms (0.4%)

soundness1.5s (10.8%)

preprocess102.0ms (0.7%)

end0.0ms (0%)

Profiling