Metrics for ENA, Section 1.4, Exercise 4b, n=2

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.7%	74.3%	0%	0%	0%	0
100%	25.7%	0%	74.3%	0%	0%	0%	1

Compiler

Compiled 27 to 19 computations (29.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

ival-<=: 0.0ms (0% of total)

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

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

sample2.3s (38.6%)

Results

911.0ms	2471×	1	valid
884.0ms	5205×	0	valid
142.0ms	580×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-pow: 518.0ms (43.2% of total)

ival-add: 258.0ms (21.5% of total)

ival-<=: 232.0ms (19.3% of total)

backward-pass: 75.0ms (6.2% of total)

ival-sub: 62.0ms (5.2% of total)

ival-and: 25.0ms (2.1% of total)

const: 23.0ms (1.9% of total)

ival-assert: 8.0ms (0.7% of total)

Bogosity

preprocess199.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

576×	`sub-neg`
479×	`fmm-def`
478×	`distribute-lft-in`
454×	`unsub-neg`
345×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	278
1	57	246
2	174	238
3	663	196
4	2246	188
5	5176	188
6	6794	188
7	7415	188
8	7644	188
9	7758	188
10	7791	188

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))))
(neg.f64 (-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))

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

explain200.0ms (3.4%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
81	3	(-4.749188038435536e-32 -2.559205360068117e-292)	-	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	0	-	-	`eps`
0	0	-	-	`(pow.f64 x #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(pow.f64 (+.f64 x eps) #s(literal 2 binary64))`
0	0	-	-	`(+.f64 x eps)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`	cancellation	84	0

Confusion

	Predicted +	Predicted -
+	81	0
-	3	172

Precision

0.9642857142857143

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	0
-	3	0	172

Precision?

0.9642857142857143

Recall?

1.0

Freqs

test

number	freq
0	172
1	84

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

28.0ms	158×	1	valid
26.0ms	308×	0	valid
11.0ms	46×	2	valid

Compiler

Compiled 76 to 32 computations (57.9% saved)

Precisions

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

ival-pow: 18.0ms (51.4% of total)

ival-sub: 6.0ms (17.1% of total)

ival-add: 5.0ms (14.3% of total)

backward-pass: 5.0ms (14.3% of total)

ival-true: 1.0ms (2.9% of total)

ival-assert: 1.0ms (2.9% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.3%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
▶	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))

Compiler

Compiled 20 to 13 computations (35% saved)

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
✓	cost-diff	6528	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	-6272	(+.f64 eps (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	-6272	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))

Rules

765×	`fmm-def`
584×	`distribute-neg-in`
543×	`sub-neg`
389×	`distribute-rgt-in`
383×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	145
1	29	133
2	65	133
3	142	133
4	314	133
5	1011	133
6	2791	133
7	5560	133
8	7224	133

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
eps
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))

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

localize67.0ms (1.1%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
✓	accuracy	72.4%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 eps (*.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))

Results

26.0ms	79×	1	valid
17.0ms	154×	0	valid
8.0ms	23×	2	valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-pow: 11.0ms (36.6% of total)

ival-mult: 8.0ms (26.6% of total)

ival-add: 5.0ms (16.6% of total)

backward-pass: 3.0ms (10% of total)

ival-sub: 2.0ms (6.7% of total)

const: 0.0ms (0% of total)

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

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

series14.0ms (0.2%)

Counts

7 → 132

Calls

Call 1

Inputs
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 eps (*.f64 x #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64))>
#<alt (+.f64 x eps)>
#<alt (pow.f64 x #s(literal 2 binary64))>

Outputs
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt eps>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt eps>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 eps x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 eps x)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 eps x)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 eps x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps))))>
#<alt eps>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt eps>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>

Calls

36 calls:

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

rewrite427.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1175×	`log1p-expm1-u`
1175×	`expm1-log1p-u`
648×	`fma-define`
296×	`fmm-def`
102×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	133
1	223	125
2	3301	125

Stop Event

1×	node limit

Counts

7 → 288

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
(+.f64 eps (*.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(+.f64 x eps)
(pow.f64 x #s(literal 2 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) eps)))
(+.f64 (.f64 x (.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (.f64 #s(literal 2 binary64) eps)) (.f64 x (.f64 #s(literal 2 binary64) eps))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) eps))))))
(/.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (.f64 (.f64 x (.f64 #s(literal 2 binary64) eps)) (.f64 x (.f64 #s(literal 2 binary64) eps)))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) eps))))
(/.f64 (.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (.f64 eps (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) eps) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) eps)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 eps eps (.f64 x (.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (cbrt.f64 eps) (.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (cbrt.f64 eps) eps) (.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) eps) (.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 (*.f64 x eps) #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) eps))) (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) eps)))) (cbrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 (.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) eps))) (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 eps (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 eps (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (.f64 x (*.f64 #s(literal 2 binary64) eps)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal -2 binary64) x))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 eps (*.f64 #s(literal -2 binary64) x))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (.f64 #s(literal -2 binary64) x)) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) eps)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 eps (.f64 #s(literal -2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (+.f64 eps (.f64 #s(literal -2 binary64) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 eps #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 2 binary64)) eps))
(pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 2 binary64) eps))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(exp.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 2 binary64) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) eps)
(fma.f64 eps #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 2 binary64))) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (.f64 x #s(literal 2 binary64))) eps)
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(+.f64 (.f64 x (+.f64 x eps)) (.f64 eps (+.f64 x eps)))
(+.f64 (.f64 eps (+.f64 x eps)) (.f64 x (+.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 x eps) (+.f64 x eps))
(*.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 x eps)) (+.f64 x eps)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (+.f64 x eps)) (.f64 (sqrt.f64 (+.f64 x eps)) (+.f64 x eps)))
(.f64 (.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 x eps)))
(.f64 (.f64 (+.f64 x eps) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x eps)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (-.f64 x eps)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 x eps) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 x eps) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (-.f64 x eps))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 x eps)) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (+.f64 x eps)) (-.f64 x eps))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 x eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 eps (+.f64 x eps) (*.f64 x (+.f64 x eps)))
(fma.f64 (+.f64 x eps) x (*.f64 (+.f64 x eps) eps))
(fma.f64 (+.f64 x eps) eps (*.f64 (+.f64 x eps) x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))
(*.f64 (+.f64 x eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)))
(*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(pow.f64 (+.f64 x eps) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(fabs.f64 (+.f64 x eps))
(log.f64 (exp.f64 (+.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) eps)
(fma.f64 eps #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) eps)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))

simplify248.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

570×	`cancel-sign-sub-inv`
561×	`fmm-def`
353×	`distribute-lft-neg-in`
348×	`distribute-rgt-neg-in`
296×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	614	13701
1	1410	13383
2	4423	12920

Stop Event

1×	node limit

Counts

420 → 393

Calls

Call 1

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

Outputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 x eps))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 x eps))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 x eps))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal 2 binary64) x)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
eps
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(neg.f64 (*.f64 eps (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal -1 binary64))))
(*.f64 eps (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64))))
(*.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) eps) #s(literal -1 binary64)) (neg.f64 eps))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(neg.f64 (*.f64 eps (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal -1 binary64))))
(*.f64 eps (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64))))
(*.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) eps) #s(literal -1 binary64)) (neg.f64 eps))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(neg.f64 (*.f64 eps (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal -1 binary64))))
(*.f64 eps (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64))))
(*.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) eps) #s(literal -1 binary64)) (neg.f64 eps))
eps
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64))))
(*.f64 x (neg.f64 (-.f64 #s(literal -2 binary64) (/.f64 eps x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64))))
(*.f64 x (neg.f64 (-.f64 #s(literal -2 binary64) (/.f64 eps x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 eps x) #s(literal -2 binary64))))
(*.f64 x (neg.f64 (-.f64 #s(literal -2 binary64) (/.f64 eps x))))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 x eps))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 x eps))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 x eps))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))
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(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(pow.f64 x #s(literal 2 binary64))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))

eval47.0ms (0.8%)

Compiler: Compiled 6278 to 1070 computations (83% saved)

prune56.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	388	5	393
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	389	6	395

Accuracy

100.0%

Counts

395 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))
▶	100.0%	(fma.f64 eps eps (.f64 x (.f64 #s(literal 2 binary64) eps)))
▶	100.0%	(*.f64 eps (+.f64 x (+.f64 x eps)))
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
▶	69.8%	(*.f64 eps eps)
▶	62.8%	(.f64 #s(literal 2 binary64) (.f64 x eps))

Compiler

Compiled 91 to 56 computations (38.5% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) eps)
✓	cost-diff	0	(.f64 x (.f64 #s(literal 2 binary64) eps))
✓	cost-diff	128	(fma.f64 eps eps (.f64 x (.f64 #s(literal 2 binary64) eps)))
✓	cost-diff	-6272	(+.f64 x (+.f64 x eps))
✓	cost-diff	-6272	(*.f64 eps (+.f64 x (+.f64 x eps)))
	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(*.f64 x eps)
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 x eps))
✓	cost-diff	-6336	(*.f64 eps eps)
✓	cost-diff	0	(pow.f64 eps #s(literal 2 binary64))
	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	6464	(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))

Rules

19×	`fma-define`
7×	`*-commutative`
6×	`distribute-lft-in`
4×	`+-commutative`
3×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	255
1	42	246
2	63	230
3	72	230
4	76	230
5	77	230

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
eps
(pow.f64 eps #s(literal 2 binary64))
(*.f64 eps eps)
eps
(.f64 #s(literal 2 binary64) (.f64 x eps))
#s(literal 2 binary64)
(*.f64 x eps)
x
eps
(*.f64 eps (+.f64 x (+.f64 x eps)))
eps
(+.f64 x (+.f64 x eps))
x
(+.f64 x eps)
(fma.f64 eps eps (.f64 x (.f64 #s(literal 2 binary64) eps)))
eps
(.f64 x (.f64 #s(literal 2 binary64) eps))
x
(*.f64 #s(literal 2 binary64) eps)
#s(literal 2 binary64)

Outputs
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))
(.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) eps))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
eps
(pow.f64 eps #s(literal 2 binary64))
(*.f64 eps eps)
(pow.f64 eps #s(literal 2 binary64))
eps
(.f64 #s(literal 2 binary64) (.f64 x eps))
(.f64 (.f64 x #s(literal 2 binary64)) eps)
#s(literal 2 binary64)
(*.f64 x eps)
x
eps
(*.f64 eps (+.f64 x (+.f64 x eps)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))
(.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) eps))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
eps
(+.f64 x (+.f64 x eps))
(+.f64 (+.f64 x x) eps)
(+.f64 (*.f64 x #s(literal 2 binary64)) eps)
(fma.f64 x #s(literal 2 binary64) eps)
x
(+.f64 x eps)
(fma.f64 eps eps (.f64 x (.f64 #s(literal 2 binary64) eps)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))
(.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) eps))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
eps
(.f64 x (.f64 #s(literal 2 binary64) eps))
(.f64 (.f64 x #s(literal 2 binary64)) eps)
x
(*.f64 #s(literal 2 binary64) eps)
#s(literal 2 binary64)

localize131.0ms (2.2%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 #s(literal 2 binary64) eps))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) eps)
✓	accuracy	100.0%	(fma.f64 eps eps (.f64 x (.f64 #s(literal 2 binary64) eps)))
	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(*.f64 eps (+.f64 x (+.f64 x eps)))
✓	accuracy	100.0%	(+.f64 x (+.f64 x eps))
✓	accuracy	100.0%	(*.f64 x eps)
✓	accuracy	99.9%	(.f64 #s(literal 2 binary64) (.f64 x eps))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(pow.f64 eps #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))

Results

48.0ms

256×

valid

Compiler

Compiled 72 to 17 computations (76.4% saved)

Precisions

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

ival-mult: 12.0ms (45.4% of total)

ival-fma: 8.0ms (30.3% of total)

ival-pow: 3.0ms (11.4% of total)

ival-add: 2.0ms (7.6% of total)

backward-pass: 1.0ms (3.8% of total)

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

const: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Counts

10 → 180

Calls

Call 1

Inputs
#<alt (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 eps eps)>
#<alt (.f64 #s(literal 2 binary64) (.f64 x eps))>
#<alt (*.f64 x eps)>
#<alt (*.f64 eps (+.f64 x (+.f64 x eps)))>
#<alt (+.f64 x (+.f64 x eps))>
#<alt (fma.f64 eps eps (.f64 x (.f64 #s(literal 2 binary64) eps)))>
#<alt (.f64 x (.f64 #s(literal 2 binary64) eps))>
#<alt (*.f64 #s(literal 2 binary64) eps)>

Outputs
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt eps>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt eps>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>

Calls

51 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	inf	(+ (* (* x 2) eps) (pow eps 2))
1.0ms	eps	@	0	(+ (* (* x 2) eps) (pow eps 2))
1.0ms	x	@	0	(+ (* (* x 2) eps) (pow eps 2))
0.0ms	x	@	inf	(+ (* (* x 2) eps) (pow eps 2))
0.0ms	eps	@	0	(* 2 (* x eps))

rewrite171.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`fma-define`
760×	`log1p-expm1-u`
760×	`expm1-log1p-u`
374×	`fmm-def`
202×	`log1p-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	193
1	305	184
2	4046	168

Stop Event

1×	node limit

Counts

10 → 355

Calls

Call 1

Inputs
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 eps eps)
(.f64 #s(literal 2 binary64) (.f64 x eps))
(*.f64 x eps)
(*.f64 eps (+.f64 x (+.f64 x eps)))
(+.f64 x (+.f64 x eps))
(fma.f64 eps eps (.f64 x (.f64 #s(literal 2 binary64) eps)))
(.f64 x (.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) eps)

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

simplify316.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

613×	`distribute-lft-in`
554×	`distribute-rgt-in`
524×	`cancel-sign-sub-inv`
381×	`fmm-def`
279×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	520	15536
1	1137	14191
2	3018	13590

Stop Event

1×	node limit

Counts

535 → 322

Calls

Call 1

Inputs
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
eps
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
eps
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
eps
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
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(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal 2 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (*.f64 x #s(literal 2 binary64)) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 x eps) #s(literal 3 binary64)) (pow.f64 (.f64 eps (+.f64 x eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 eps (+.f64 x eps)) (.f64 eps (+.f64 x eps))) (.f64 (.f64 x eps) (*.f64 eps (+.f64 x eps))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 x eps) #s(literal 2 binary64)) (.f64 (.f64 eps (+.f64 x eps)) (.f64 eps (+.f64 x eps)))) (-.f64 (.f64 x eps) (.f64 eps (+.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))) (-.f64 (-.f64 x eps) x))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) eps) (fma.f64 (+.f64 x eps) (-.f64 (+.f64 x eps) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) eps) (-.f64 (-.f64 x eps) x))
(pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps))))
(cbrt.f64 (pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) eps) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps)))
(log1p.f64 (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps)))
(exp.f64 (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) eps)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x #s(literal 2 binary64)) eps)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) eps))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) eps)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64)))

Outputs
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 eps #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 eps #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 eps #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 eps #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 eps #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 x (fma.f64 eps #s(literal 2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
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(.f64 eps (.f64 #s(literal 2 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x #s(literal 2 binary64)) eps)) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) eps))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(*.f64 eps #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64))
(*.f64 eps #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 eps #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(*.f64 eps #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 4 binary64)))
(fabs.f64 (*.f64 eps #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) eps))
(*.f64 eps #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) eps))))
(*.f64 eps #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 3 binary64)))
(*.f64 eps #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) eps)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) eps)))
(*.f64 eps #s(literal 2 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps)))
(*.f64 eps #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64)))
(*.f64 eps #s(literal 2 binary64))

eval44.0ms (0.7%)

Compiler: Compiled 5116 to 1070 computations (79.1% saved)

prune49.0ms (0.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	396	3	399
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	399	6	405

Accuracy

100.0%

Counts

405 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 x #s(literal 2 binary64)) eps (.f64 eps eps))
▶	99.8%	(.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
✓	100.0%	(*.f64 eps (+.f64 x (+.f64 x eps)))
▶	62.8%	(*.f64 eps (+.f64 x x))
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
✓	69.8%	(*.f64 eps eps)

Compiler

Compiled 51 to 31 computations (39.2% saved)

simplify149.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 eps eps)
	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	128	(fma.f64 (.f64 x #s(literal 2 binary64)) eps (.f64 eps eps))
✓	cost-diff	-6144	(.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
✓	cost-diff	0	(/.f64 eps x)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 eps x))
✓	cost-diff	0	(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(*.f64 eps (+.f64 x x))

Rules

889×	`associate-/r*`
852×	`times-frac`
635×	`fma-define`
556×	`*-commutative`
503×	`associate-/l/`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	18	212
1	37	212
2	93	212
3	183	212
4	241	198
5	290	186
6	329	186
7	513	186
8	1104	186
9	4143	186
10	5215	186
11	5591	186
12	5725	186
13	5789	186
14	5842	186
15	7638	186

Stop Event

1×	node limit

Calls

Call 1

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

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

localize59.0ms (1%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(fma.f64 (.f64 x #s(literal 2 binary64)) eps (.f64 eps eps))
✓	accuracy	100.0%	(/.f64 eps x)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 eps x))
✓	accuracy	99.9%	(.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
✓	accuracy	99.8%	(*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(*.f64 eps (+.f64 x x))

Results

38.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

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

ival-mult: 9.0ms (51.8% of total)

ival-add: 3.0ms (17.3% of total)

ival-fma: 3.0ms (17.3% of total)

ival-div: 2.0ms (11.5% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Counts

7 → 120

Calls

Call 1

Inputs
#<alt (*.f64 eps (+.f64 x x))>
#<alt (+.f64 x x)>
#<alt (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (+.f64 #s(literal 2 binary64) (/.f64 eps x))>
#<alt (/.f64 eps x)>
#<alt (.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))>
#<alt (fma.f64 (.f64 x #s(literal 2 binary64)) eps (.f64 eps eps))>

Outputs
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt #s(literal 2 binary64)>
#<alt (/.f64 eps x)>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 eps x)>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 eps x)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 2 binary64)>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x (* eps (+ 2 (/ eps x))))
1.0ms	eps	@	-inf	(* eps (+ 2 (/ eps x)))
0.0ms	eps	@	inf	(* eps (+ 2 (/ eps x)))
0.0ms	eps	@	0	(* eps (+ 2 (/ eps x)))
0.0ms	x	@	-inf	(* eps (+ 2 (/ eps x)))

rewrite138.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

923×	`prod-diff`
744×	`log1p-expm1-u`
744×	`expm1-log1p-u`
187×	`fmm-def`
125×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	156
1	268	145
2	3656	145

Stop Event

1×	node limit

Counts

7 → 224

Calls

Call 1

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

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

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

78×	`*-commutative`
31×	`+-commutative`
27×	`associate-*r/`
22×	`sub-neg`
20×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	487	2685
1	1597	2685

Stop Event

1×

unsound

Counts

344 → 271

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) eps)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal 2 binary64) eps)
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
#s(literal 2 binary64)
(/.f64 eps x)
(.f64 eps (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(.f64 eps (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(.f64 eps (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 eps x)
(.f64 eps (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(.f64 eps (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(.f64 eps (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 eps x)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) x)
#s(literal 2 binary64)
#s(literal 2 binary64)
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(+.f64 (.f64 eps x) (.f64 eps x))
(+.f64 (.f64 (.f64 eps x) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 (.f64 eps x) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 eps x) (.f64 eps x)) (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 eps x) (*.f64 eps x)))))
(/.f64 (-.f64 (.f64 (.f64 eps x) (.f64 eps x)) (.f64 (.f64 eps x) (.f64 eps x))) (-.f64 (.f64 eps x) (.f64 eps x)))
(/.f64 (.f64 eps (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 eps #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) eps) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) eps) #s(literal 0 binary64))
(pow.f64 (*.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps x (*.f64 eps x))
(fma.f64 x eps (*.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64))
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(exp.f64 (.f64 (log.f64 (.f64 eps (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 eps x)) x))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 eps x) (+.f64 (.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps)))) #s(literal 1 binary64))
(*.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps))
(.f64 (.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps)))
(.f64 (cbrt.f64 (.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps))))
(.f64 (hypot.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 eps)) eps) (hypot.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 eps)) eps))
(/.f64 (+.f64 (pow.f64 (.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 (.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 eps #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 eps #s(literal 2 binary64))))
(pow.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 eps)) eps) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps)))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps))))
(exp.f64 (.f64 (log.f64 (.f64 eps (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) eps))) #s(literal 1 binary64)))

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

eval30.0ms (0.5%)

Compiler: Compiled 3417 to 886 computations (74.1% saved)

prune44.0ms (0.7%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	288	1	289
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	288	7	295

Accuracy

100.0%

Counts

295 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 x #s(literal 2 binary64)) eps (.f64 eps eps))
✓	99.8%	(.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
✓	100.0%	(*.f64 eps (+.f64 x (+.f64 x eps)))
✓	62.8%	(*.f64 eps (+.f64 x x))
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
✓	69.8%	(*.f64 eps eps)
▶	2.9%	#s(literal -8 binary64)

Compiler

Compiled 54 to 34 computations (37% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(literal -8 binary64)

Outputs
#s(literal -8 binary64)

localize8.0ms (0.1%)

Results

5.0ms

256×

valid

Compiler

Compiled 5 to 5 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	6	6
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 x #s(literal 2 binary64)) eps (.f64 eps eps))
✓	99.8%	(.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
✓	100.0%	(*.f64 eps (+.f64 x (+.f64 x eps)))
✓	62.8%	(*.f64 eps (+.f64 x x))
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
✓	69.8%	(*.f64 eps eps)
✓	2.9%	#s(literal -8 binary64)

Compiler

Compiled 126 to 62 computations (50.8% saved)

regimes13.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal -8 binary64)
(*.f64 eps eps)
(.f64 #s(literal 2 binary64) (.f64 x eps))
(*.f64 eps (+.f64 x x))
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 x (+.f64 x eps)))
(.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(fma.f64 eps eps (.f64 x (.f64 #s(literal 2 binary64) eps)))
(fma.f64 (.f64 x #s(literal 2 binary64)) eps (.f64 eps eps))
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

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

Calls

3 calls:

5.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
4.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes7.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal -8 binary64)
(*.f64 eps eps)
(.f64 #s(literal 2 binary64) (.f64 x eps))
(*.f64 eps (+.f64 x x))
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 x (+.f64 x eps)))
(.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
(fma.f64 eps eps (.f64 x (.f64 #s(literal 2 binary64) eps)))

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

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal -8 binary64)
(*.f64 eps eps)
(.f64 #s(literal 2 binary64) (.f64 x eps))
(*.f64 eps (+.f64 x x))
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 x (+.f64 x eps)))
(.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))

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

Calls

2 calls:

4.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal -8 binary64)
(*.f64 eps eps)
(.f64 #s(literal 2 binary64) (.f64 x eps))
(*.f64 eps (+.f64 x x))

Outputs
(*.f64 eps (+.f64 x x))
(*.f64 eps eps)
(*.f64 eps (+.f64 x x))

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
91.7%	3	`x`
87.9%	3	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal -8 binary64)
(*.f64 eps eps)
(.f64 #s(literal 2 binary64) (.f64 x eps))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
91.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -8 binary64)
(*.f64 eps eps)

Outputs
(*.f64 eps eps)

Calls

2 calls:

2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
69.8%	1	`eps`
69.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -8 binary64)

Outputs
#s(literal -8 binary64)

Calls

2 calls:

3.0ms	eps
1.0ms	x

Results

Accuracy	Segments	Branch
2.9%	1	`x`
2.9%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch36.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.8849626150594896e-124	8.504750883039398e-120
14.0ms	-3.4667954362843456e-130	-4.1891868640133474e-132

Results

19.0ms	141×	1	valid
6.0ms	99×	0	valid

Compiler

Compiled 227 to 147 computations (35.2% saved)

Precisions

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

ival-pow: 10.0ms (59.8% of total)

ival-add: 2.0ms (12% of total)

ival-sub: 2.0ms (12% of total)

backward-pass: 2.0ms (12% of total)

const: 0.0ms (0% of total)

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

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

bsearch35.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.8849626150594896e-124	8.504750883039398e-120
16.0ms	-3.4667954362843456e-130	-4.1891868640133474e-132

Results

16.0ms	132×	1	valid
8.0ms	108×	0	valid

Compiler

Compiled 227 to 162 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-pow: 8.0ms (54.7% of total)

ival-add: 2.0ms (13.7% of total)

ival-sub: 2.0ms (13.7% of total)

backward-pass: 2.0ms (13.7% of total)

const: 0.0ms (0% of total)

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

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
4×	`if-if-or-not`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	237
1	53	237

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 x #s(literal 2 binary64)) eps (.f64 eps eps))
(fma.f64 eps eps (.f64 x (.f64 #s(literal 2 binary64) eps)))
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -8491156056859499/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) (.f64 eps (+.f64 x x)) (if (<=.f64 x #s(literal 1362822608054263/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664 binary64)) (.f64 eps eps) (*.f64 eps (+.f64 x x))))
(if (<=.f64 x #s(literal -1997919072202235/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (.f64 #s(literal 2 binary64) (.f64 x eps)) (if (<=.f64 x #s(literal 5814709794364855/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) (.f64 eps eps) (.f64 #s(literal 2 binary64) (*.f64 x eps))))
(*.f64 eps eps)
#s(literal -8 binary64)

Outputs
(fma.f64 (.f64 x #s(literal 2 binary64)) eps (.f64 eps eps))
(fma.f64 eps eps (.f64 x (.f64 #s(literal 2 binary64) eps)))
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
(.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) eps))
(if (<=.f64 x #s(literal -8491156056859499/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) (.f64 eps (+.f64 x x)) (if (<=.f64 x #s(literal 1362822608054263/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664 binary64)) (.f64 eps eps) (*.f64 eps (+.f64 x x))))
(if (or (<=.f64 x #s(literal -8491156056859499/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) (not (<=.f64 x #s(literal 1362822608054263/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664 binary64)))) (.f64 eps (+.f64 x x)) (.f64 eps eps))
(if (<=.f64 x #s(literal -1997919072202235/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (.f64 #s(literal 2 binary64) (.f64 x eps)) (if (<=.f64 x #s(literal 5814709794364855/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) (.f64 eps eps) (.f64 #s(literal 2 binary64) (*.f64 x eps))))
(if (or (<=.f64 x #s(literal -1997919072202235/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (not (<=.f64 x #s(literal 5814709794364855/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)))) (.f64 #s(literal 2 binary64) (.f64 x eps)) (*.f64 eps eps))
(*.f64 eps eps)
#s(literal -8 binary64)

soundness865.0ms (14.7%)

Rules

1175×	`log1p-expm1-u`
1175×	`expm1-log1p-u`
781×	`fma-define`
760×	`log1p-expm1-u`
760×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	278
1	57	246
2	174	238
3	663	196
4	2246	188
5	5176	188
6	6794	188
7	7415	188
8	7644	188
9	7758	188
10	7791	188
0	614	13701
1	1410	13383
2	4423	12920
0	15	133
1	223	125
2	3301	125
0	21	193
1	305	184
2	4046	168
0	487	2685
1	1597	2685

Stop Event

1×	done
1×	unsound
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 523 to 164 computations (68.6% saved)

preprocess38.0ms (0.7%)

Compiler: Compiled 148 to 74 computations (50% saved)

analyze0.0ms (0%)

sample2.3s (38.6%)

preprocess199.0ms (3.4%)

explain200.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify84.0ms (1.4%)

localize67.0ms (1.1%)

series14.0ms (0.2%)

rewrite427.0ms (7.3%)

simplify248.0ms (4.2%)

eval47.0ms (0.8%)

prune56.0ms (1%)

simplify13.0ms (0.2%)

localize131.0ms (2.2%)

series16.0ms (0.3%)

rewrite171.0ms (2.9%)

simplify316.0ms (5.4%)

eval44.0ms (0.7%)

prune49.0ms (0.8%)

simplify149.0ms (2.5%)

localize59.0ms (1%)

series10.0ms (0.2%)

rewrite138.0ms (2.4%)

simplify55.0ms (0.9%)

eval30.0ms (0.5%)

prune44.0ms (0.7%)

simplify5.0ms (0.1%)

localize8.0ms (0.1%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch36.0ms (0.6%)

bsearch35.0ms (0.6%)

simplify4.0ms (0.1%)

soundness865.0ms (14.7%)

preprocess38.0ms (0.7%)

end0.0ms (0%)

Profiling