Metrics for NMSE Section 6.1 mentioned, A

analyze40.0ms (0.3%)

Memory

-29.2MiB live, 63.2MiB 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)

sample2.8s (18.4%)

Memory

51.3MiB live, 3 693.2MiB allocated

Samples

1.1s	5 982×	0	valid
929.0ms	2 273×	1	valid
141.0ms	961×	0	exit
3.0ms	17×	1	exit
0.0ms	1×	2	valid

Precisions

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

ival-exp: 384.0ms (21.7% of total)

ival-mult: 345.0ms (19.5% of total)

ival-neg: 261.0ms (14.8% of total)

ival-div: 253.0ms (14.3% of total)

ival-sub: 212.0ms (12% of total)

ival-add: 206.0ms (11.7% of total)

adjust: 83.0ms (4.7% of total)

exact: 12.0ms (0.7% of total)

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

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

Bogosity

preprocess441.0ms (2.9%)

Memory

-12.4MiB live, 422.7MiB allocated

Algorithm

2×	egg-herbie

Rules

11 102×	`accelerator-lowering-fma.f32`
11 102×	`accelerator-lowering-fma.f64`
2 706×	`-lowering-.f32`
2 706×	`-lowering-.f64`
1 598×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	181
1	197	166
2	600	162
3	1975	162
4	4911	160
0	19	29
1	55	29
2	154	27
3	495	27
4	1112	27
5	3326	25
6	7585	25
0	8121	23

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(abs eps)

explain512.0ms (3.4%)

Memory

-19.4MiB live, 580.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
75	6	(5.328128599079709e-282 1.1167206695221475e-12)	-	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (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	81	1

Confusion

	Predicted +	Predicted -
+	75	0
-	6	175

Precision

0.9259259259259259

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	75	0	0
-	6	1	174

Precision?

0.9146341463414634

Recall?

1.0

Freqs

test

number	freq
0	175
1	81

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

90.0ms	358×	0	valid
52.0ms	154×	1	valid

Compiler

Compiled 348 to 80 computations (77% saved)

Precisions

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

ival-div: 43.0ms (38.4% of total)

ival-mult: 22.0ms (19.6% of total)

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

ival-sub: 10.0ms (8.9% of total)

ival-add: 7.0ms (6.2% of total)

ival-neg: 6.0ms (5.4% of total)

adjust: 4.0ms (3.6% of total)

exact: 1.0ms (0.9% of total)

ival-true: 1.0ms (0.9% of total)

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.6%	(/.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

▶

71.6%

(/.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)

simplify278.0ms (1.9%)

Memory

37.2MiB live, 572.5MiB 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×	`accelerator-lowering-fma.f32`
11 102×	`accelerator-lowering-fma.f64`
2 706×	`-lowering-.f32`
2 706×	`-lowering-.f64`
1 598×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	141
1	55	141
2	154	131
3	495	131
4	1112	131
5	3326	129
6	7585	129
0	8121	123

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize104.0ms (0.7%)

Memory

15.8MiB live, 238.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))
✓	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 #s(literal 1 binary64) eps) x)
✓	accuracy	71.6%	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (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

49.0ms	77×	1	valid
23.0ms	179×	0	valid

Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 17.0ms (32.2% of total)

ival-div: 14.0ms (26.5% of total)

ival-exp: 9.0ms (17% of total)

ival-sub: 5.0ms (9.5% of total)

ival-neg: 3.0ms (5.7% of total)

ival-add: 3.0ms (5.7% of total)

adjust: 2.0ms (3.8% of total)

exact: 0.0ms (0% of total)

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

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

series19.0ms (0.1%)

Memory

13.1MiB live, 52.3MiB allocated

Counts

6 → 144

Calls

Call 1

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

Calls

36 calls:

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

rewrite342.0ms (2.3%)

Memory

-34.0MiB live, 699.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 830×	`accelerator-lowering-fma.f32`
4 830×	`accelerator-lowering-fma.f64`
3 930×	`/-lowering-/.f32`
3 930×	`/-lowering-/.f64`
3 926×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	93
1	116	87
2	917	86
0	8910	78

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 500

Calls

Call 1

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

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

simplify490.0ms (3.3%)

Memory

-17.2MiB live, 881.7MiB allocated

Algorithm

1×	egg-herbie

Rules

16 366×	`accelerator-lowering-fma.f32`
16 366×	`accelerator-lowering-fma.f64`
4 512×	`+-lowering-+.f64`
4 512×	`+-lowering-+.f32`
4 372×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	3116
1	975	2807
2	3405	2490
0	8361	2351

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

Outputs
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(.f64 #s(literal 1/2 binary64) (.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 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (pow.f64 x #s(literal 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 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(fma.f64 (.f64 eps eps) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))))) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (pow.f64 x #s(literal 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 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))))) (.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+ (* 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 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.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 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.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 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+ (* -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 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.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 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.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 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (.f64 x (fma.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) (/.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 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))))) #s(literal 1 binary64))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(.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 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(.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 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(.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 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(.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 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.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 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.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 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.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 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(.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 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) 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))))))
(fma.f64 (.f64 eps eps) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (.f64 (.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) 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))))))
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(.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(/ (exp (neg x)) eps)
(/.f64 (exp.f64 (neg.f64 x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) x)) eps (exp.f64 (neg.f64 x))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/.f64 (fma.f64 eps (fma.f64 eps (.f64 (exp.f64 (neg.f64 x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) x))) (exp.f64 (neg.f64 x))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(/.f64 (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) x) (.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x x) (.f64 eps (.f64 (exp.f64 (neg.f64 x)) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))))) (exp.f64 (neg.f64 x))) eps)
(* -1 (exp (neg (* x (+ 1 eps)))))
(neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(-.f64 #s(literal 0 binary64) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(-.f64 #s(literal 0 binary64) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(-.f64 #s(literal 0 binary64) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(-.f64 #s(literal 0 binary64) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(-.f64 #s(literal 0 binary64) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(-.f64 #s(literal 0 binary64) (.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(- (/ 1 eps) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(*.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(fma.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 x eps x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))

eval121.0ms (0.8%)

Memory: -1.5MiB live, 230.8MiB allocated
Compiler: Compiled 32 659 to 2 454 computations (92.5% saved)

prune78.0ms (0.5%)

Memory

12.4MiB live, 248.1MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	638	6	644
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	639	6	645

Accuracy

100.0%

Counts

645 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.9%	(fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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))
	38.0%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
▶	40.3%	(/.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
▶	99.2%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶	58.9%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
▶	47.6%	#s(literal 1 binary64)

Compiler

Compiled 264 to 154 computations (41.7% saved)

simplify486.0ms (3.2%)

Memory

32.0MiB live, 1 051.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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	64	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓	cost-diff	192	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
✓	cost-diff	256	(neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))
✓	cost-diff	320	(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))
✓	cost-diff	1216	(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(exp.f64 (neg.f64 x))
✓	cost-diff	0	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
✓	cost-diff	128	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓	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 (.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))

Rules

23 034×	`accelerator-lowering-fma.f32`
23 034×	`accelerator-lowering-fma.f64`
4 312×	`--lowering--.f32`
4 312×	`--lowering--.f64`
3 460×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	489
1	162	487
2	661	457
3	3324	429
0	8199	403

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize282.0ms (1.9%)

Memory

-9.4MiB live, 703.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
✓	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	72.5%	(-.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓	accuracy	95.9%	(.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))))
✓	accuracy	95.9%	(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
✓	accuracy	88.9%	(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64)))))
✓	accuracy	50.9%	(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (.f64 (.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
✓	accuracy	100.0%	(+.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓	accuracy	100.0%	(exp.f64 (-.f64 (*.f64 x eps) x))
✓	accuracy	100.0%	(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal -1 binary64) eps))

Samples

94.0ms	108×	1	valid
48.0ms	110×	0	valid
41.0ms	35×	2	valid
4.0ms	3×	3	valid

Compiler

Compiled 476 to 50 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 42.0ms (33.9% of total)

ival-add: 32.0ms (25.8% of total)

ival-exp: 15.0ms (12.1% of total)

adjust: 12.0ms (9.7% of total)

ival-sub: 9.0ms (7.3% of total)

ival-div: 8.0ms (6.5% of total)

ival-neg: 5.0ms (4% of total)

exact: 1.0ms (0.8% of total)

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

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

series52.0ms (0.3%)

Memory

-5.8MiB live, 112.4MiB allocated

Counts

23 → 468

Calls

Call 1

Inputs
#<alt (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps)))))>
#<alt (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))>
#<alt (exp (- (* x eps) x))>
#<alt (- (* x eps) x)>
#<alt (* 1/2 (* (exp (neg x)) (+ (+ x 2) x)))>
#<alt (* (exp (neg x)) (+ (+ x 2) x))>
#<alt (exp (neg x))>
#<alt (neg x)>
#<alt (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))>
#<alt (* (+ -1 (/ 1 eps)) 1/2)>
#<alt (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))>
#<alt (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))>
#<alt (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps)))>
#<alt (neg (* (- 1 eps) x))>
#<alt (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps))) 2)>
#<alt (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))>
#<alt (* x (- -1 eps))>
#<alt (exp (* x (- -1 eps)))>
#<alt (+ (+ x 2) x)>
#<alt (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))>
#<alt (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))))>
#<alt (* (- 1 eps) x)>
#<alt (+ 1 (/ 1 eps))>

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 (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (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 (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (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 (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (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 (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (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>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))>
#<alt (* x (exp (neg x)))>
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))>
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))>
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))>
#<alt (* x (exp (* -1 x)))>
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))>
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))>
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))>
#<alt 2>
#<alt (+ 2 (* -1 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 2/3 x) 1)))>
#<alt (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))>
#<alt (* 2 (* x (exp (neg x))))>
#<alt (* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))>
#<alt (* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))>
#<alt (* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))>
#<alt (* 2 (* x (exp (* -1 x))))>
#<alt (* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))>
#<alt (* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))>
#<alt (* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x))))>
#<alt (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))))) (* 1/2 (+ (* -1 x) (* 2 x))))>
#<alt (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (* 1/2 x) (* -1/2 x))))) (* 1/2 (+ x (* -2 x))))))) (* 1/2 (+ (* -1 x) (* 2 x))))>
#<alt (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (* 1/2 x) (* -1/2 x))))) (* 1/2 (+ x (* -2 x))))))) (* 1/2 (+ (* -1 x) (* 2 x))))>
#<alt (* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (* 1/2 (/ x eps)))) (+ (* -1/2 x) (* 1/2 (/ (+ x (* -2 x)) eps)))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (* 1/2 (/ x (pow eps 2))))))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (* 1/2 (/ x (pow eps 2))))))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))>
#<alt (* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (- (+ x (* -1/2 x)) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (- (+ x (+ (* -1 (/ (- (* -1 (- x 1)) 1) eps)) (* -1/2 x))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ (- (+ x (+ (* -1 (/ (- (+ (* -1 (- x 1)) (* -1 (/ (- (* -1 (- (* 1/2 x) 1)) (+ 1 (* -1/2 x))) eps))) 1) eps)) (* -1/2 x))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))>
#<alt (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))>
#<alt (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
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#<alt (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* -1 (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (* x (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (* x (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (* (pow x 2) (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))>
#<alt (* -1 (* (pow x 2) (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* (pow x 2) (+ (* -1 (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (* (pow x 2) (+ (* -1 (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (* (pow x 2) (+ (* -1 (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))>
#<alt (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x)))))>
#<alt (+ (* eps (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x)))))) (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x))))))>
#<alt (+ (* eps (+ (* eps (* x (- (* 1/2 x) (* -1/2 x)))) (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))))) (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x))))))>
#<alt (+ (* eps (+ (* eps (* x (- (* 1/2 x) (* -1/2 x)))) (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))))) (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x))))))>
#<alt (* (pow eps 2) (* x (- (* 1/2 x) (* -1/2 x))))>
#<alt (* (pow eps 2) (+ (* x (- (* 1/2 x) (* -1/2 x))) (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))) eps)))>
#<alt (* (pow eps 2) (+ (* x (- (* 1/2 x) (* -1/2 x))) (+ (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))) eps) (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x))))) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* x (- (* 1/2 x) (* -1/2 x))) (+ (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))) eps) (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x))))) (pow eps 2)))))>
#<alt (* (pow eps 2) (* x (- (* 1/2 x) (* -1/2 x))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (- (+ x (* -1/2 x)) (* 1/2 x))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* -1 (- x 1)) 1)) eps)) (* x (- (+ x (* -1/2 x)) (* 1/2 x)))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- (* -1 (- (* 1/2 x) 1)) (+ 1 (* -1/2 x)))) eps)) (* x (- (* -1 (- x 1)) 1))) eps)) (* x (- (+ x (* -1/2 x)) (* 1/2 x)))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))>
#<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 eps)>
#<alt (/ (+ 1 eps) eps)>
#<alt (/ (+ 1 eps) eps)>
#<alt (/ (+ 1 eps) eps)>
#<alt 1>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt 1>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (/ 1 eps))>

Calls

117 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))))
5.0ms	x	@	inf	(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2))))))
3.0ms	eps	@	inf	(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))
2.0ms	eps	@	0	(- (* x eps) x)
2.0ms	eps	@	0	(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (neg (* (* (+ (* x eps) x) (+ eps 1)) (* (+ -1 (/ 1 eps)) 1/2)))))

rewrite372.0ms (2.5%)

Memory

14.7MiB live, 862.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 600×	`-lowering-.f32`
3 600×	`-lowering-.f64`
3 598×	`/-lowering-/.f32`
3 598×	`/-lowering-/.f64`
3 412×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	319
1	321	313
2	3435	313
0	8451	293

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 798

Calls

Call 1

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

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

simplify946.0ms (6.3%)

Memory

1.4MiB live, 946.5MiB allocated

Algorithm

1×	egg-herbie

Rules

17 424×	`accelerator-lowering-fma.f32`
17 424×	`accelerator-lowering-fma.f64`
5 884×	`+-lowering-+.f64`
5 884×	`+-lowering-+.f32`
4 894×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	752	7181
1	2570	6391
0	8804	6074

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

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 (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (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 (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (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 (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))
(+ (exp (* -1 (* x (+ 1 eps)))) (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 (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))
(+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))
(+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))
(+ (exp (* x (- (* -1 eps) 1))) (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
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
2
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(* 2 (* x (exp (neg x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* 2 (* x (exp (* -1 x))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x))))
(- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))))) (* 1/2 (+ (* -1 x) (* 2 x))))
(- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (* 1/2 x) (* -1/2 x))))) (* 1/2 (+ x (* -2 x))))))) (* 1/2 (+ (* -1 x) (* 2 x))))
(- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (* 1/2 x) (* -1/2 x))))) (* 1/2 (+ x (* -2 x))))))) (* 1/2 (+ (* -1 x) (* 2 x))))
(* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (* 1/2 (/ x eps)))) (+ (* -1/2 x) (* 1/2 (/ (+ x (* -2 x)) eps)))))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (* 1/2 (/ x (pow eps 2))))))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (* 1/2 (/ x (pow eps 2))))))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))
(* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ (- (+ x (* -1/2 x)) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ (- (+ x (+ (* -1 (/ (- (* -1 (- x 1)) 1) eps)) (* -1/2 x))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ (- (+ x (+ (* -1 (/ (- (+ (* -1 (- x 1)) (* -1 (/ (- (* -1 (- (* 1/2 x) 1)) (+ 1 (* -1/2 x))) eps))) 1) eps)) (* -1/2 x))) (* 1/2 x)) eps)) (* 1/2 x)) (* -1/2 x)))
(+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* -1 (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(/ 1/2 eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
-1/2
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
-1/2
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* 1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(* 1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(* 1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(* 1/2 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(* -1/2 (/ x eps))
(/ (- (* -1/2 (* eps (+ (* -1 x) (* 2 x)))) (* 1/2 x)) eps)
(/ (- (* eps (- (* -1/2 (* eps (+ x (* -2 x)))) (* 1/2 (+ (* -1 x) (* 2 x))))) (* 1/2 x)) eps)
(/ (- (* eps (- (* eps (- (* 1/2 (* eps x)) (* 1/2 (+ x (* -2 x))))) (* 1/2 (+ (* -1 x) (* 2 x))))) (* 1/2 x)) eps)
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (- (* -1/2 (/ (+ x (* -2 x)) eps)) (* -1/2 x)))
(* (pow eps 2) (- (* -1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))) (+ (* -1/2 x) (* 1/2 (/ (+ x (* -2 x)) eps)))))
(* (pow eps 2) (- (* -1/2 (/ x (pow eps 3))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/2 (/ x eps)) (* -1/2 x)))
(* (pow eps 2) (- (* -1 (/ (- (* 1/2 (/ x eps)) (* 1/2 x)) eps)) (* -1/2 x)))
(* (pow eps 2) (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ x eps)) (* 1/2 x)) eps)) (* 1/2 x)) eps)) (* -1/2 x)))
(- eps 1)
(- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)
(- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)
(- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)
(* 1/2 (* x (pow (- 1 eps) 2)))
(* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))
(* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))
(* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))
(* 1/2 (* x (pow (- 1 eps) 2)))
(* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))
(* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))
(* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))
(- (* 1/2 x) 1)
(- (+ (* 1/2 x) (* eps (+ 1 (* -1 x)))) 1)
(- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1)
(- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1)
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2))))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ (- x 1) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x)))
(/ (- (exp (neg x)) 1) eps)
(/ (- (+ (exp (neg x)) (* eps (+ 1 (+ (exp (neg x)) (* x (exp (neg x))))))) 1) eps)
(/ (- (+ (exp (neg x)) (* eps (+ 1 (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x)))))))) 1) eps)
(/ (- (+ (exp (neg x)) (* eps (+ 1 (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x)))))))) 1) eps)
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(- (+ 1 (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))) (/ 1 eps))
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2
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(- (+ 1 (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))) (/ 1 eps))
(- (+ 1 (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))) (/ 1 eps))
(- (+ 1 (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))) (/ 1 eps))
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(- (+ 1 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))) (/ 1 eps))
(- (+ 1 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))) (/ 1 eps))
(- (+ 1 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))) (/ 1 eps))
(- (+ 1 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))) (/ 1 eps))
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(- (* eps x) x)
(- (* eps x) x)
(- (* eps x) x)
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(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
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(* -1 (* eps (- (/ x eps) x)))
(* -1 (* eps (- (/ x eps) x)))
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(* 1/2 (/ (- (exp (neg x)) 1) eps))
(/ (+ (* 1/2 (* eps (+ 1 (+ (exp (neg x)) (* x (exp (neg x))))))) (* 1/2 (- (exp (neg x)) 1))) eps)
(/ (+ (* 1/2 (- (exp (neg x)) 1)) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))))) (* 1/2 (+ 1 (+ (exp (neg x)) (* x (exp (neg x))))))))) eps)
(/ (+ (* 1/2 (- (exp (neg x)) 1)) (* eps (+ (* 1/2 (+ 1 (+ (exp (neg x)) (* x (exp (neg x)))))) (* eps (+ (* 1/2 (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x)))))))))) eps)
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1
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(* 1/2 (- (+ 1 (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))) (/ 1 eps)))
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(* 1/2 (- (+ 1 (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))) (/ 1 eps)))
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(* 1/2 (- (+ 1 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))) (/ 1 eps)))
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(* 1/2 (- (+ 1 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))) (/ 1 eps)))
(* 1/2 (- (+ 1 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))) (/ 1 eps)))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(exp (neg (* x (- 1 eps))))
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(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
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(* -1 (* x (+ 1 eps)))
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(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x 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 (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(/ -1 eps)
(/ (- (* eps (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x))))) 1) eps)
(/ (- (* eps (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (+ 1 (+ (* -1 x) (* 1/2 x))) (* 1/2 (+ x (* -2 x))))))) (* 1/2 (+ (* -1 x) (* 2 x))))) 1) eps)
(/ (- (* eps (- (+ (* -1 x) (+ (* 1/2 x) (* eps (- (+ 1 (+ (* -1 x) (+ (* 1/2 x) (* eps (- (* 1/2 x) (* -1/2 x)))))) (* 1/2 (+ x (* -2 x))))))) (* 1/2 (+ (* -1 x) (* 2 x))))) 1) eps)
(* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (/ 1 eps)))) (+ (* -1/2 x) (* 1/2 (/ (+ x (* -2 x)) eps)))))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2)))))))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))))) (+ (* -1/2 x) (+ (* 1/2 (/ (+ x (* -2 x)) eps)) (+ (* 1/2 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))) (/ 1 (pow eps 3)))))))
(* (pow eps 2) (- (* 1/2 x) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ (- (+ x (* -1/2 x)) (+ 1 (* 1/2 x))) eps)) (* 1/2 x)) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ (- (+ x (+ (* -1 (/ (- (* -1 (- x 1)) 1) eps)) (* -1/2 x))) (+ 1 (* 1/2 x))) eps)) (* 1/2 x)) (* -1/2 x)))
(* (pow eps 2) (- (+ (* -1 (/ (- (+ x (+ (* -1 (/ (- (+ (* -1 (- x 1)) (* -1 (/ (- (* -1 (- (* 1/2 x) 1)) (* -1/2 x)) eps))) 1) eps)) (* -1/2 x))) (+ 1 (* 1/2 x))) eps)) (* 1/2 x)) (* -1/2 x)))
(* (+ 1 (/ 1 eps)) (- eps 1))
(+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* -1 (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* -1 (* x (- (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(* x (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* x (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* x (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* (pow x 2) (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* (pow x 2) (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* (pow x 2) (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* (pow x 2) (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))
(* -1 (* (pow x 2) (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* (pow x 2) (+ (* -1 (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* (pow x 2) (+ (* -1 (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* (pow x 2) (+ (* -1 (- (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x)))))
(+ (* eps (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x)))))) (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x))))))
(+ (* eps (+ (* eps (* x (- (* 1/2 x) (* -1/2 x)))) (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))))) (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x))))))
(+ (* eps (+ (* eps (* x (- (* 1/2 x) (* -1/2 x)))) (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))))) (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x))))))
(* (pow eps 2) (* x (- (* 1/2 x) (* -1/2 x))))
(* (pow eps 2) (+ (* x (- (* 1/2 x) (* -1/2 x))) (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))) eps)))
(* (pow eps 2) (+ (* x (- (* 1/2 x) (* -1/2 x))) (+ (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))) eps) (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x))))) (pow eps 2)))))
(* (pow eps 2) (+ (* x (- (* 1/2 x) (* -1/2 x))) (+ (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ x (* -2 x))))) eps) (/ (* x (- (+ (* -1 x) (* 1/2 x)) (* 1/2 (+ (* -1 x) (* 2 x))))) (pow eps 2)))))
(* (pow eps 2) (* x (- (* 1/2 x) (* -1/2 x))))
(* (pow eps 2) (+ (* -1 (/ (* x (- (+ x (* -1/2 x)) (* 1/2 x))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* -1 (- x 1)) 1)) eps)) (* x (- (+ x (* -1/2 x)) (* 1/2 x)))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- (* -1 (- (* 1/2 x) 1)) (+ 1 (* -1/2 x)))) eps)) (* x (- (* -1 (- x 1)) 1))) eps)) (* x (- (+ x (* -1/2 x)) (* 1/2 x)))) eps)) (* x (- (* 1/2 x) (* -1/2 x)))))
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 eps)
(/ (+ 1 eps) eps)
(/ (+ 1 eps) eps)
(/ (+ 1 eps) eps)
1
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))
1
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))
(+ 1 (/ 1 eps))

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

eval432.0ms (2.9%)

Memory: -16.6MiB live, 598.2MiB allocated
Compiler: Compiled 53 662 to 4 431 computations (91.7% saved)

prune152.0ms (1%)

Memory

-23.2MiB live, 435.8MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	1 327	18	1 345
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	1 331	20	1 351

Accuracy

100.0%

Counts

1 351 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.6%	(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	56.2%	(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	46.9%	(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))
▶	46.6%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
	75.6%	(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (neg.f64 x) (.f64 eps (fma.f64 x (.f64 x eps) #s(literal 0 binary64)))) #s(literal 1 binary64))
	47.6%	(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (fma.f64 x x (/.f64 (.f64 x (neg.f64 x)) (.f64 eps eps)))) #s(literal 1 binary64))
	81.8%	(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
	79.6%	(fma.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 x (-.f64 (.f64 x eps) x)) #s(literal 0 binary64)))) #s(literal 1 binary64))
▶	80.8%	(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
	68.0%	(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
▶	31.2%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
	72.3%	(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
	58.9%	(.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x)))))
▶	44.9%	(.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 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
	64.3%	(.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))))
▶	87.5%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
	65.7%	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓	58.9%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
	46.9%	(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓	47.6%	#s(literal 1 binary64)

Compiler

Compiled 692 to 425 computations (38.6% saved)

simplify342.0ms (2.3%)

Memory

40.3MiB live, 636.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
✓	cost-diff	192	(+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))
✓	cost-diff	384	(+.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 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))
✓	cost-diff	448	(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))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) eps)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓	cost-diff	704	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
✓	cost-diff	1984	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 x (.f64 eps eps))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 eps eps)))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x eps)
✓	cost-diff	0	(exp.f64 (*.f64 x eps))
✓	cost-diff	0	(+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))

Rules

12 738×	`accelerator-lowering-fma.f32`
12 738×	`accelerator-lowering-fma.f64`
4 088×	`--lowering--.f32`
4 088×	`--lowering--.f64`
3 534×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	544
1	164	538
2	584	424
3	2348	400
4	3729	376
0	8445	346

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
1/2
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(exp (* x eps))
(* x eps)
x
eps
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
-1
(+ (* x (* x -1/2)) 1)
x
(* x -1/2)
-1/2
1
(+ (* 1/2 (* x (* x (* eps eps)))) 1)
1/2
(* x (* x (* eps eps)))
x
(* x (* eps eps))
(* eps eps)
eps
1
(/ (- (+ 1 (/ 1 eps)) (+ -1 (/ 1 eps))) 2)
(- (+ 1 (/ 1 eps)) (+ -1 (/ 1 eps)))
(+ 1 (/ 1 eps))
1
(/ 1 eps)
eps
(+ -1 (/ 1 eps))
-1
2
(* 1/2 (+ (* x (+ eps (+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)))))) (+ -1 (- -1 eps))))) 2))
1/2
(+ (* x (+ eps (+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)))))) (+ -1 (- -1 eps))))) 2)
x
(+ eps (+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)))))) (+ -1 (- -1 eps))))
eps
(+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)))))) (+ -1 (- -1 eps)))
(+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)))))
(+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))
(+ 1 eps)
1
(* (+ eps -1) (+ eps -1))
(+ eps -1)
-1
(* x (+ (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6))))
(+ (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)))
(* (+ eps -1) 1/6)
1/6
(* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6))
(* (+ 1 eps) (+ 1 eps))
(* (+ 1 eps) -1/6)
-1/6
(+ -1 (- -1 eps))
(- -1 eps)
2

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

localize415.0ms (2.8%)

Memory

-18.9MiB live, 413.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.9%	(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 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))
✓	accuracy	95.7%	(.f64 x (fma.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 (.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)))))
✓	accuracy	88.0%	(+.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 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))
✓	accuracy	74.5%	(fma.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 (.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))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) eps)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓	accuracy	59.9%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	98.0%	(.f64 x (.f64 x (*.f64 eps eps)))
✓	accuracy	94.6%	(.f64 x (.f64 eps eps))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓	accuracy	100.0%	(exp.f64 (*.f64 x eps))
✓	accuracy	100.0%	(+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal -1 binary64) eps))

Samples

150.0ms	175×	1	valid
92.0ms	72×	1	exit
2.0ms	7×	0	valid
1.0ms	1×	5	exit
1.0ms	1×	2	valid

Compiler

Compiled 522 to 51 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-mult: 70.0ms (33.5% of total)

ival-add: 60.0ms (28.7% of total)

const: 34.0ms (16.3% of total)

adjust: 27.0ms (12.9% of total)

ival-exp: 6.0ms (2.9% of total)

ival-div: 6.0ms (2.9% of total)

ival-sub: 4.0ms (1.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series32.0ms (0.2%)

Memory

-6.0MiB live, 30.0MiB allocated

Counts

24 → 432

Calls

Call 1

Inputs
#<alt (* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))>
#<alt (+ (exp (* x eps)) (exp (* x (- -1 eps))))>
#<alt (exp (* x eps))>
#<alt (* x eps)>
#<alt (+ (* x (* x -1/2)) 1)>
#<alt (* x -1/2)>
#<alt (+ (* 1/2 (* x (* x (* eps eps)))) 1)>
#<alt (* x (* x (* eps eps)))>
#<alt (* x (* eps eps))>
#<alt (* eps eps)>
#<alt (- (+ 1 (/ 1 eps)) (+ -1 (/ 1 eps)))>
#<alt (/ (- (+ 1 (/ 1 eps)) (+ -1 (/ 1 eps))) 2)>
#<alt (+ 1 (/ 1 eps))>
#<alt (/ 1 eps)>
#<alt (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))>
#<alt (+ eps (+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)))))) (+ -1 (- -1 eps))))>
#<alt (+ -1 (- -1 eps))>
#<alt (* (+ eps -1) (+ eps -1))>
#<alt (* x (- -1 eps))>
#<alt (exp (* x (- -1 eps)))>
#<alt (+ -1 (/ 1 eps))>
#<alt (+ (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)))>
#<alt (* x (+ (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6))))>
#<alt (+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)))))) (+ -1 (- -1 eps)))>

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

Calls

108 calls:

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

rewrite456.0ms (3%)

Memory

35.8MiB live, 397.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 778×	`accelerator-lowering-fma.f32`
3 778×	`accelerator-lowering-fma.f64`
3 608×	`-lowering-.f32`
3 608×	`-lowering-.f64`
3 004×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	274
1	321	238
2	3428	230
0	8334	220

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 664

Calls

Call 1

Inputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(exp (* x eps))
(* x eps)
(+ (* x (* x -1/2)) 1)
(* x -1/2)
(+ (* 1/2 (* x (* x (* eps eps)))) 1)
(* x (* x (* eps eps)))
(* x (* eps eps))
(* eps eps)
(- (+ 1 (/ 1 eps)) (+ -1 (/ 1 eps)))
(/ (- (+ 1 (/ 1 eps)) (+ -1 (/ 1 eps))) 2)
(+ 1 (/ 1 eps))
(/ 1 eps)
(+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))
(+ eps (+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)))))) (+ -1 (- -1 eps))))
(+ -1 (- -1 eps))
(* (+ eps -1) (+ eps -1))
(* x (- -1 eps))
(exp (* x (- -1 eps)))
(+ -1 (/ 1 eps))
(+ (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)))
(* x (+ (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6))))
(+ (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ eps -1) (+ eps -1)) (* (+ eps -1) 1/6)) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)))))) (+ -1 (- -1 eps)))

Outputs
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps)) (.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) (.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 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(/.f64 (fma.f64 (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) #s(literal 1/8 binary64) (.f64 (exp.f64 (.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 x eps) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
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simplify689.0ms (4.6%)

Memory

-37.8MiB live, 764.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 346×	`accelerator-lowering-fma.f32`
16 346×	`accelerator-lowering-fma.f64`
6 752×	`+-lowering-+.f64`
6 752×	`+-lowering-+.f32`
4 746×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	4065
1	1070	3895
2	3434	3808
0	8020	3604

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

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

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

eval242.0ms (1.6%)

Memory: 13.2MiB live, 488.1MiB allocated
Compiler: Compiled 49 981 to 3 934 computations (92.1% saved)

prune131.0ms (0.9%)

Memory

11.0MiB live, 383.1MiB allocated

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	1 154	17	1 171
Fresh	9	4	13
Picked	4	1	5
Done	0	2	2
Total	1 167	24	1 191

Accuracy

100.0%

Counts

1 191 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.6%	(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	56.2%	(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	46.6%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
	49.5%	(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
▶	75.6%	(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) eps) eps) #s(literal 1 binary64))
	75.6%	(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
	48.8%	(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 eps eps)) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
	74.6%	(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
	17.5%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
	58.9%	(.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x)))))
▶	47.4%	(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
	68.4%	(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)))
	46.6%	(.f64 #s(literal 1/2 binary64) (fma.f64 x (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 (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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
	57.9%	(.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 #s(literal 1 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
▶	47.0%	(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
	67.8%	(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 eps (.f64 eps (-.f64 x (.f64 x x)))) #s(literal 2 binary64)))
▶	46.9%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
	66.5%	(.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (.f64 (.f64 x x) (fma.f64 (.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
	64.3%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (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 -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
▶	87.9%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
✓	58.9%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
	42.4%	(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
	46.9%	(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓	47.6%	#s(literal 1 binary64)

Compiler

Compiled 1 076 to 603 computations (44% saved)

simplify378.0ms (2.5%)

Memory

11.7MiB live, 725.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
✓	cost-diff	128	(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64)))
✓	cost-diff	384	(+.f64 (-.f64 #s(literal -2 binary64) eps) eps)
✓	cost-diff	640	(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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))))))
✓	cost-diff	0	(.f64 (.f64 x x) (fma.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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
✓	cost-diff	0	(fma.f64 x (.f64 (.f64 x x) (fma.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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
✓	cost-diff	128	(fma.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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) eps)
✓	cost-diff	0	(.f64 (.f64 (*.f64 x x) eps) eps)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) eps) eps) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
✓	cost-diff	512	(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x eps)
✓	cost-diff	0	(exp.f64 (*.f64 x eps))
✓	cost-diff	0	(+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (.f64 x (neg.f64 eps))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))

Rules

16 328×	`accelerator-lowering-fma.f32`
16 328×	`accelerator-lowering-fma.f64`
3 918×	`-lowering-.f32`
3 918×	`-lowering-.f64`
3 594×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	627
1	205	609
2	750	608
3	3420	531
4	4897	531
0	8482	481

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize293.0ms (2%)

Memory

9.9MiB live, 472.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.9%	(fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps))
✓	accuracy	95.7%	(.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))
✓	accuracy	66.3%	(+.f64 (-.f64 #s(literal -2 binary64) eps) eps)
✓	accuracy	65.8%	(fma.f64 (+.f64 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))))
✓	accuracy	99.8%	(fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64))
✓	accuracy	99.8%	(fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))
✓	accuracy	87.8%	(.f64 (.f64 x x) (fma.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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
✓	accuracy	65.7%	(fma.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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) eps) eps) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	96.5%	(.f64 (.f64 (*.f64 x x) eps) eps)
✓	accuracy	92.9%	(.f64 (.f64 x x) eps)
✓	accuracy	100.0%	(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
✓	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(exp.f64 (*.f64 x (neg.f64 eps)))
✓	accuracy	100.0%	(exp.f64 (*.f64 x eps))

Samples

51.0ms	115×	0	valid
50.0ms	56×	1	valid
39.0ms	33×	2	valid
26.0ms	51×	1	exit
2.0ms	1×	5	exit

Compiler

Compiled 577 to 59 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 55.0ms (44.3% of total)

ival-add: 25.0ms (20.1% of total)

const: 18.0ms (14.5% of total)

adjust: 14.0ms (11.3% of total)

ival-exp: 5.0ms (4% of total)

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

ival-neg: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series44.0ms (0.3%)

Memory

-47.6MiB live, 53.8MiB allocated

Counts

25 → 480

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
13.0ms	x	@	inf	(* (* x x) eps)
1.0ms	x	@	0	(* 1/2 (+ (* x (* (* x x) (+ (* (+ (* eps -1/6) -1/6) (* (+ 1 eps) (+ 1 eps))) (* (+ (* eps 1/6) -1/6) (* (+ eps -1) (+ eps -1)))))) 2))
1.0ms	x	@	inf	(* 1/2 (+ (* x (* (* x x) (+ (* (+ (* eps -1/6) -1/6) (* (+ 1 eps) (+ 1 eps))) (* (+ (* eps 1/6) -1/6) (* (+ eps -1) (+ eps -1)))))) 2))
1.0ms	x	@	-inf	(* 1/2 (+ (* x (* (* x x) (+ (* (+ (* eps -1/6) -1/6) (* (+ 1 eps) (+ 1 eps))) (* (+ (* eps 1/6) -1/6) (* (+ eps -1) (+ eps -1)))))) 2))
1.0ms	eps	@	0	(+ (* (+ (* eps -1/6) -1/6) (* (+ 1 eps) (+ 1 eps))) (* (+ (* eps 1/6) -1/6) (* (+ eps -1) (+ eps -1))))

rewrite385.0ms (2.6%)

Memory

28.3MiB live, 624.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 020×	`-lowering-.f32`
4 020×	`-lowering-.f64`
3 740×	`accelerator-lowering-fma.f32`
3 740×	`accelerator-lowering-fma.f64`
3 176×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	399
1	414	371
2	4084	331
0	8977	300

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 656

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x eps))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (neg.f64 eps)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (neg.f64 eps)))) (.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 (*.f64 x (neg.f64 eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 x (neg.f64 eps))) (.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 (*.f64 x (neg.f64 eps)))))
(fma.f64 (exp.f64 (.f64 x (neg.f64 eps))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
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simplify417.0ms (2.8%)

Memory

-6.0MiB live, 694.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 860×	`accelerator-lowering-fma.f32`
14 860×	`accelerator-lowering-fma.f64`
4 730×	`-lowering-.f32`
4 730×	`-lowering-.f64`
4 556×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	348	6082
1	1193	5832
2	4226	5715
0	8228	5255

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

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

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

eval287.0ms (1.9%)

Memory: 49.5MiB live, 346.7MiB allocated
Compiler: Compiled 58 067 to 3 955 computations (93.2% saved)

prune359.0ms (2.4%)

Memory

-34.5MiB live, 295.4MiB allocated

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	1 231	11	1 242
Fresh	7	9	16
Picked	4	1	5
Done	0	3	3
Total	1 242	24	1 266

Accuracy

100.0%

Counts

1 266 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.6%	(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	56.2%	(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	46.6%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	75.6%	(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) eps) eps) #s(literal 1 binary64))
	75.6%	(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
	56.6%	(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))
	48.8%	(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 eps eps)) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
	74.6%	(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
	17.5%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
	46.9%	(-.f64 #s(literal 1 binary64) x)
	19.3%	(.f64 (.f64 eps eps) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
	87.9%	(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
	25.8%	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x (-.f64 x (*.f64 x x))))
	58.9%	(.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x)))))
	57.9%	(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal -1/6 binary64))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
	68.4%	(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
	57.8%	(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 -1/6 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
	46.6%	(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
	18.1%	(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 eps) (.f64 x (.f64 x (*.f64 x eps)))))
✓	58.9%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
	42.4%	(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
	46.9%	(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
	3.1%	(neg.f64 x)
✓	47.6%	#s(literal 1 binary64)

Compiler

Compiled 1 479 to 506 computations (65.8% saved)

regimes61.0ms (0.4%)

Memory

22.8MiB live, 138.4MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(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))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) eps) eps) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 eps) (.f64 x (.f64 x (*.f64 x eps)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x (-.f64 x (*.f64 x x))))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 eps (.f64 eps (-.f64 x (.f64 x x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (neg.f64 x) (.f64 eps (fma.f64 x (.f64 x eps) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 x (-.f64 (.f64 x eps) x)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (fma.f64 x x (/.f64 (.f64 x (neg.f64 x)) (.f64 eps eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 -1/6 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 eps eps)) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (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 (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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal -1/6 binary64))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 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 #s(literal 1 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 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 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (.f64 (.f64 x x) (fma.f64 (.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.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)) (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 -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #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 (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 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #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)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

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

Calls

4 calls:

18.0ms	eps
17.0ms	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))
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
99.2%	1	`x`
99.2%	1	`eps`
99.2%	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))`
99.2%	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)

regimes59.0ms (0.4%)

Memory

12.1MiB live, 130.3MiB allocated

Counts

51 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(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))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) eps) eps) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 eps) (.f64 x (.f64 x (*.f64 x eps)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x (-.f64 x (*.f64 x x))))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 eps (.f64 eps (-.f64 x (.f64 x x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (neg.f64 x) (.f64 eps (fma.f64 x (.f64 x eps) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 x (-.f64 (.f64 x eps) x)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (fma.f64 x x (/.f64 (.f64 x (neg.f64 x)) (.f64 eps eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 -1/6 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 eps eps)) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (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 (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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal -1/6 binary64))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 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 #s(literal 1 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 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 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (.f64 (.f64 x x) (fma.f64 (.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.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)) (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 -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #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 (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 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x)))))

Outputs

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

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

Calls

4 calls:

17.0ms	x
15.0ms	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)))))
11.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
90.9%	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)

regimes42.0ms (0.3%)

Memory

9.7MiB live, 87.1MiB allocated

Counts

50 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(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))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) eps) eps) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 eps) (.f64 x (.f64 x (*.f64 x eps)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x (-.f64 x (*.f64 x x))))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 eps (.f64 eps (-.f64 x (.f64 x x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (neg.f64 x) (.f64 eps (fma.f64 x (.f64 x eps) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 x (-.f64 (.f64 x eps) x)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (fma.f64 x x (/.f64 (.f64 x (neg.f64 x)) (.f64 eps eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 -1/6 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 eps eps)) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (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 (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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal -1/6 binary64))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 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 #s(literal 1 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 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 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (.f64 (.f64 (fma.f64 x eps 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 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (.f64 (.f64 x x) (fma.f64 (.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (.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)) (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 -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (-.f64 #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 (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 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))

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

Calls

3 calls:

13.0ms

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)))))

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

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes62.0ms (0.4%)

Memory

-34.2MiB live, 48.1MiB allocated

Counts

41 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(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))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) eps) eps) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 eps) (.f64 x (.f64 x (*.f64 x eps)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x (-.f64 x (*.f64 x x))))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 eps (.f64 eps (-.f64 x (.f64 x x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (neg.f64 x) (.f64 eps (fma.f64 x (.f64 x eps) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 x (-.f64 (.f64 x eps) x)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (fma.f64 x x (/.f64 (.f64 x (neg.f64 x)) (.f64 eps eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 -1/6 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 eps eps)) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (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 (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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal -1/6 binary64))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 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 #s(literal 1 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 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 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x (-.f64 #s(literal -1 binary64) eps)))))

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

Calls

3 calls:

26.0ms

eps

9.0ms

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

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
99.2%	2	`eps`
99.2%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
99.2%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes70.0ms (0.5%)

Memory

23.6MiB live, 62.3MiB allocated

Counts

39 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(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))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) eps) eps) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 eps) (.f64 x (.f64 x (*.f64 x eps)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x (-.f64 x (*.f64 x x))))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 eps (.f64 eps (-.f64 x (.f64 x x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (neg.f64 x) (.f64 eps (fma.f64 x (.f64 x eps) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 x (-.f64 (.f64 x eps) x)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (fma.f64 x x (/.f64 (.f64 x (neg.f64 x)) (.f64 eps eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 -1/6 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 eps eps)) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (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 (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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal -1/6 binary64))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 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 #s(literal 1 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 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 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))

Outputs

(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))

(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))

Calls

3 calls:

49.0ms

(/.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

eps

9.0ms

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

Results

Accuracy	Segments	Branch
93.2%	2	`eps`
99.0%	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))`
99.0%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes243.0ms (1.6%)

Memory

-4.9MiB live, 70.5MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(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))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) eps) eps) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 eps) (.f64 x (.f64 x (*.f64 x eps)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x (-.f64 x (*.f64 x x))))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 eps (.f64 eps (-.f64 x (.f64 x x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (neg.f64 x) (.f64 eps (fma.f64 x (.f64 x eps) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 x (-.f64 (.f64 x eps) x)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (fma.f64 x x (/.f64 (.f64 x (neg.f64 x)) (.f64 eps eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 -1/6 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 eps eps)) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (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 (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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal -1/6 binary64))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 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 #s(literal 1 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))

Outputs

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

(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))

Calls

4 calls:

199.0ms	eps
23.0ms	(-.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	x
8.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
88.2%	3	`x`
81.8%	1	`eps`
87.8%	2	`(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))`
87.8%	2	`(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes60.0ms (0.4%)

Memory

-45.9MiB live, 36.2MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(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))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) eps) eps) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 eps) (.f64 x (.f64 x (*.f64 x eps)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x (-.f64 x (*.f64 x x))))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 eps (.f64 eps (-.f64 x (.f64 x x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (neg.f64 x) (.f64 eps (fma.f64 x (.f64 x eps) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 x (-.f64 (.f64 x eps) x)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (fma.f64 x x (/.f64 (.f64 x (neg.f64 x)) (.f64 eps eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 -1/6 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 eps eps)) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 x (.f64 eps eps)))))) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (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 (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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal -1/6 binary64))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 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 #s(literal 1 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (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 eps #s(literal 1 binary64)) (.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 eps #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))

Outputs

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

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

Calls

3 calls:

40.0ms

(/.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))

10.0ms

8.0ms

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

Results

Accuracy	Segments	Branch
86.0%	2	`x`
83.4%	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))`
83.4%	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 63 to 38 computations (39.7% saved)

regimes10.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(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))
(.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) eps) eps) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 eps) (.f64 x (.f64 x (*.f64 x eps)))))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (.f64 x (-.f64 x (*.f64 x x))))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 eps (.f64 eps (-.f64 x (.f64 x x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (neg.f64 x) (.f64 eps (fma.f64 x (.f64 x eps) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 x (-.f64 (.f64 x eps) x)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x))) x (+.f64 (-.f64 #s(literal -2 binary64) eps) eps)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (fma.f64 x x (/.f64 (.f64 x (neg.f64 x)) (.f64 eps eps)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 #s(literal -1/6 binary64) (.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (.f64 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 -1/6 binary64) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.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 (fma.f64 eps #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 eps eps))) (.f64 x (.f64 x (.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 eps eps)) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
85.3%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

-1.3MiB live, 37.1MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
4.0ms	eps
3.0ms	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
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
75.7%	2	`eps`
82.1%	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))`
82.1%	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)))))`
77.1%	3	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes14.0ms (0.1%)

Memory

-3.2MiB live, 35.4MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))

Calls

4 calls:

4.0ms	(-.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	eps
3.0ms	x
3.0ms	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
66.2%	2	`x`
58.5%	2	`eps`
56.6%	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))`
56.6%	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)

regimes8.0ms (0.1%)

Memory

-22.2MiB live, 14.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))

Calls

2 calls:

5.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
56.6%	1	`eps`
56.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

28.1MiB live, 28.1MiB allocated

Accuracy

Total -29.0b remaining (-86.3%)

Threshold costs -29b (-86.3%)

Counts

6 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
47.6%	1	`eps`
47.6%	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))`
47.6%	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)))))`
47.6%	1	`x`

Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.0

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.0

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (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	2.000008703902661	+inf

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch3.0ms (0%)

Memory

-41.9MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000008703902661	+inf

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch40.0ms (0.3%)

Memory

6.8MiB live, 83.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	1.1170946225923364e-10	0.007933114174814605

Samples

19.0ms	63×	1	valid
9.0ms	81×	0	valid

Compiler

Compiled 466 to 285 computations (38.8% saved)

Precisions

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

ival-exp: 7.0ms (30.4% of total)

ival-mult: 5.0ms (21.7% of total)

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

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

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

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

adjust: 1.0ms (4.3% of total)

exact: 0.0ms (0% of total)

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

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

bsearch39.0ms (0.3%)

Memory

27.4MiB live, 107.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	1.1170946225923364e-10	0.007933114174814605

Samples

17.0ms	60×	1	valid
10.0ms	84×	0	valid

Compiler

Compiled 259 to 177 computations (31.7% saved)

Precisions

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

ival-exp: 6.0ms (26.1% of total)

ival-mult: 5.0ms (21.7% of total)

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

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

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

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

adjust: 1.0ms (4.3% of total)

exact: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.000008703902661	+inf

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch54.0ms (0.4%)

Memory

4.1MiB live, 118.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	-8.40909338743044e+26	-0.32003854081413535

Samples

22.0ms	60×	1	valid
14.0ms	116×	0	valid
4.0ms	21×	0	exit
1.0ms	8×	1	exit

Compiler

Compiled 287 to 211 computations (26.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-exp: 11.0ms (34.8% of total)

ival-mult: 6.0ms (19% of total)

ival-sub: 4.0ms (12.6% of total)

ival-div: 4.0ms (12.6% of total)

adjust: 2.0ms (6.3% of total)

ival-neg: 2.0ms (6.3% of total)

ival-add: 2.0ms (6.3% of total)

exact: 0.0ms (0% of total)

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

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

simplify61.0ms (0.4%)

Memory

-10.8MiB live, 67.3MiB allocated

Algorithm

1×	egg-herbie

Rules

318×	`distribute-lft-neg-in_binary64`
180×	`neg-mul-1_binary64`
168×	`neg-sub0_binary64`
132×	`sub-neg_binary64`
132×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	435
1	160	434
2	215	422
3	281	422
4	341	422
5	428	422
6	517	422
7	586	422
8	674	422
9	781	422
10	863	422
11	912	422
12	937	422
13	955	422
14	977	422
15	1006	422
16	1037	422
17	1059	422
18	1066	422
19	1066	422

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) 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 0 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x))))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x 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 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x 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 0 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x 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 4 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (.f64 x eps)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 4496393867966703/576460752303423488 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps)))))
(if (<=.f64 x #s(literal 4496393867966703/576460752303423488 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.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 4 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps)))))
(if (<=.f64 x #s(literal -430 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) 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 0 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x))))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x 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 0 binary64)) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x))))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.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 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x 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 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 #s(literal 2 binary64) (cosh.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 0 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x 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 0 binary64)) (exp.f64 (neg.f64 x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.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 4 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 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 4 binary64)) (exp.f64 (neg.f64 x)) (/.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) eps)))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (.f64 x eps)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 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 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x eps) (.f64 x eps)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) eps)))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 4496393867966703/576460752303423488 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (+.f64 (neg.f64 x) (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64))) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps)))))
(if (<=.f64 x #s(literal 4496393867966703/576460752303423488 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (-.f64 (fma.f64 eps (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x eps x)) #s(literal 0 binary64)) x) #s(literal -1 binary64)) eps))) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 eps eps)))))
(if (<=.f64 x #s(literal 4496393867966703/576460752303423488 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps))) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.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 4 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps)))))
(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 4 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 eps eps)))))
(if (<=.f64 x #s(literal -430 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.5s (10.4%)

Memory

27.3MiB live, 1 375.9MiB allocated

Rules

17 424×	`accelerator-lowering-fma.f32`
17 424×	`accelerator-lowering-fma.f64`
16 366×	`accelerator-lowering-fma.f32`
16 366×	`accelerator-lowering-fma.f64`
16 346×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	3116
1	975	2807
2	3405	2490
0	8361	2351
0	46	319
1	321	313
2	3435	313
0	8451	293
0	348	6082
1	1193	5832
2	4226	5715
0	8228	5255
0	46	274
1	321	238
2	3428	230
0	8334	220
0	315	4065
1	1070	3895
2	3434	3808
0	8020	3604
0	752	7181
1	2570	6391
0	8804	6074
0	57	399
1	414	371
2	4084	331
0	8977	300

Stop Event

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

Compiler

Compiled 819 to 374 computations (54.3% saved)

preprocess196.0ms (1.3%)

Memory: -29.5MiB live, 179.8MiB allocated
Remove: (abs eps)
Compiler: Compiled 1 014 to 280 computations (72.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze40.0ms (0.3%)

sample2.8s (18.4%)

preprocess441.0ms (2.9%)

explain512.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify278.0ms (1.9%)

localize104.0ms (0.7%)

series19.0ms (0.1%)

rewrite342.0ms (2.3%)

simplify490.0ms (3.3%)

eval121.0ms (0.8%)

prune78.0ms (0.5%)

simplify486.0ms (3.2%)

localize282.0ms (1.9%)

series52.0ms (0.3%)

rewrite372.0ms (2.5%)

simplify946.0ms (6.3%)

eval432.0ms (2.9%)

prune152.0ms (1%)

simplify342.0ms (2.3%)

localize415.0ms (2.8%)

series32.0ms (0.2%)

rewrite456.0ms (3%)

simplify689.0ms (4.6%)

eval242.0ms (1.6%)

prune131.0ms (0.9%)

simplify378.0ms (2.5%)

localize293.0ms (2%)

series44.0ms (0.3%)

rewrite385.0ms (2.6%)

simplify417.0ms (2.8%)

eval287.0ms (1.9%)

prune359.0ms (2.4%)

regimes61.0ms (0.4%)

regimes59.0ms (0.4%)

regimes42.0ms (0.3%)

regimes62.0ms (0.4%)

regimes70.0ms (0.5%)

regimes243.0ms (1.6%)

regimes60.0ms (0.4%)

regimes10.0ms (0.1%)

regimes15.0ms (0.1%)

regimes14.0ms (0.1%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch40.0ms (0.3%)

bsearch39.0ms (0.3%)

bsearch0.0ms (0%)

bsearch54.0ms (0.4%)

simplify61.0ms (0.4%)

soundness1.5s (10.4%)

preprocess196.0ms (1.3%)

end0.0ms (0%)

Profiling