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 25 to 19 computations (24% saved)

sample2.2s (48.6%)

Results

871.0ms	2518×	1	valid
657.0ms	5171×	0	valid
127.0ms	567×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-pow: 739.0ms (58.5% of total)

ival-<=: 204.0ms (16.2% of total)

ival-sub: 122.0ms (9.7% of total)

ival-add: 77.0ms (6.1% of total)

adjust: 72.0ms (5.7% of total)

ival-and: 26.0ms (2.1% of total)

...in/eval/compile.rkt:70:19: 18.0ms (1.4% of total)

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

Bogosity

preprocess198.0ms (4.3%)

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))))

explain266.0ms (5.8%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
71	2	(1.2469150797754243e-36 -2.3881960685529283e-288)	-	`(-.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	73	0

Confusion

	Predicted +	Predicted -
+	71	0
-	2	183

Precision

0.9726027397260274

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	71	0	0
-	2	0	183

Precision?

0.9726027397260274

Recall?

1.0

Freqs

test

number	freq
0	183
1	73

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

28.0ms	330×	0	valid
21.0ms	144×	1	valid
8.0ms	38×	2	valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

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

ival-pow: 16.0ms (49.9% of total)

ival-add: 8.0ms (24.9% of total)

adjust: 4.0ms (12.5% of total)

ival-sub: 3.0ms (9.4% of total)

ival-true: 1.0ms (3.1% of total)

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

ival-assert: 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
▶	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	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

10×	`fma-define`
7×	`*-commutative`
2×	`distribute-rgt-in`
2×	`associate-r`
2×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	66
1	19	58
2	34	58
3	44	58

Stop Event

1×

saturated

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)

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)

localize23.0ms (0.5%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	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

14.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (58.1% of total)

ival-add: 1.0ms (19.4% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

3 → 60

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)))>

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))))>

Calls

15 calls:

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

rewrite279.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`prod-diff`
606×	`log1p-expm1-u`
606×	`expm1-log1p-u`
567×	`unpow-prod-down`
307×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	120	49
2	1668	49

Stop Event

1×	node limit

Counts

3 → 149

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)))

Outputs
(+.f64 x x)
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.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 x) #s(literal 2 binary64)))
(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)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) eps)))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 8 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 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)))))
(log.f64 (.f64 (exp.f64 (.f64 x (*.f64 #s(literal 2 binary64) eps))) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) 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)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 2 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) eps) (.f64 x (*.f64 #s(literal 2 binary64) eps)))
(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 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) eps) (.f64 x (*.f64 #s(literal 2 binary64) eps)))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (.f64 x #s(literal 2 binary64))) (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 (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 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 (.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 (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 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (.f64 x (*.f64 #s(literal 2 binary64) eps)))
(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 x) #s(literal 2 binary64) (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)))
(-.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 (fma.f64 x #s(literal 2 binary64) eps) (log.f64 (exp.f64 #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 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)) #s(literal 1/3 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 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(*.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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (/.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)))) #s(literal 1 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 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(/.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 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (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))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(pow.f64 (/.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)))) #s(literal -1 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))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (exp.f64 eps)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 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 (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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (.f64 x #s(literal 2 binary64))) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) eps)

simplify96.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

528×	`distribute-lft-in`
500×	`distribute-rgt-in`
460×	`times-frac`
253×	`cancel-sign-sub-inv`
232×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	380	5598
1	824	5442
2	2290	5363

Stop Event

1×	node limit

Counts

209 → 198

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

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 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 (.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 (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps 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 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 (.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 (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps 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))))
(.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 #s(literal -1 binary64) (.f64 eps (-.f64 (*.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 #s(literal -1 binary64) (.f64 eps (-.f64 (*.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 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))))
(neg.f64 (*.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 (-.f64 #s(literal -2 binary64) (/.f64 eps x)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(neg.f64 (*.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 (-.f64 #s(literal -2 binary64) (/.f64 eps x)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(neg.f64 (*.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 (-.f64 #s(literal -2 binary64) (/.f64 eps x)) (neg.f64 x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) eps)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (.f64 x (*.f64 #s(literal 2 binary64) eps)) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (.f64 x (.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 #s(literal 0 binary64) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 8 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))))))
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(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 2 binary64) eps) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) eps) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 3 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 7 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 5 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(/.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 (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 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) 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 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) 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 eps (fma.f64 x #s(literal -2 binary64) eps))))
(/.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 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 eps (.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (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))) (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))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) 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 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) 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 eps (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))) (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 (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 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) 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 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) 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 eps (fma.f64 x #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 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 eps (.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal -2 binary64) eps))
(/.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 (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 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) 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 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) 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 eps (fma.f64 x #s(literal -2 binary64) eps))))
(/.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 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 eps (.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal -2 binary64) eps))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 (.f64 x #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 x #s(literal -2 binary64))))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal -2 binary64) eps))
(pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(pow.f64 (/.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)))) #s(literal -1 binary64))
(.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 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) 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 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) 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 eps (fma.f64 x #s(literal -2 binary64) eps))))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 eps (.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal -2 binary64) eps))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 2 binary64) eps))))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (exp.f64 eps)))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal 2 binary64) x eps)
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) x eps)
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) x eps)
(exp.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) eps)))
(fma.f64 #s(literal 2 binary64) x eps)
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 eps #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x 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 #s(literal 2 binary64) x 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 #s(literal 2 binary64) x eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (.f64 x #s(literal 2 binary64))) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) eps)
(fma.f64 #s(literal 2 binary64) x eps)

eval28.0ms (0.6%)

Compiler: Compiled 2765 to 619 computations (77.6% saved)

prune26.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	195	3	198
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	195	4	199

Accuracy

100.0%

Counts

199 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
▶	74.9%	(*.f64 eps eps)
▶	66.2%	(.f64 #s(literal 2 binary64) (.f64 x eps))

Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify144.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

1888×	`fma-define`
816×	`associate-/r*`
693×	`times-frac`
502×	`associate-/l/`
273×	`*-commutative`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	164
1	29	164
2	68	164
3	117	164
4	132	157
5	137	151
6	162	151
7	278	151
8	676	151
9	2840	151
10	3569	151
11	4303	151
12	4498	151
13	4659	151
14	5114	151
15	6885	151
16	7051	151

Stop Event

1×	node limit

Calls

Call 1

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

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

localize47.0ms (1%)

Localize:

Found 7 expressions of interest:

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

Results

36.0ms

256×

valid

Compiler

Compiled 44 to 12 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 9.0ms (57.9% of total)

ival-add: 4.0ms (25.7% of total)

ival-div: 2.0ms (12.9% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series15.0ms (0.3%)

Counts

7 → 120

Calls

Call 1

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

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 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 (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) 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))))>

Calls

39 calls:

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

rewrite214.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`log1p-expm1-u`
643×	`expm1-log1p-u`
617×	`log-prod`
251×	`fma-define`
247×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	139
1	214	139
2	2983	139

Stop Event

1×	node limit

Counts

7 → 295

Calls

Call 1

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

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

simplify160.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

855×	`times-frac`
257×	`associate-r`
257×	`associate-l`
223×	`cancel-sign-sub-inv`
211×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	573	11951
1	1176	11340
2	3454	10048

Stop Event

1×	node limit

Counts

415 → 370

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

Outputs
(.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))
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eval41.0ms (0.9%)

Compiler: Compiled 5229 to 1045 computations (80% saved)

prune45.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	369	1	370
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	370	4	374

Accuracy

100.0%

Counts

374 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
▶	66.2%	(.f64 x (.f64 eps #s(literal 2 binary64)))
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
✓	74.9%	(*.f64 eps eps)

Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

5×	`*-commutative`
3×	`associate-r`
3×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	14	38
2	21	38
3	23	38

Stop Event

1×

saturated

Calls

Call 1

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

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

localize20.0ms (0.4%)

Localize:

Found 2 expressions of interest:

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

Results

14.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (77.7% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

2 → 36

Calls

Call 1

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

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) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>
#<alt (*.f64 #s(literal 2 binary64) eps)>

Calls

9 calls:

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

rewrite69.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

399×	`unpow-prod-down`
363×	`log1p-expm1-u`
363×	`expm1-log1p-u`
347×	`add-exp-log`
334×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	88	29
2	1012	29

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

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

simplify115.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

609×	`prod-exp`
464×	`fmm-def`
412×	`associate-r`
369×	`associate-l`
343×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1507
1	218	1501
2	521	1495
3	2908	1495
4	5514	1495

Stop Event

1×	node limit

Counts

80 → 58

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

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

eval8.0ms (0.2%)

Compiler: Compiled 591 to 189 computations (68% saved)

prune9.0ms (0.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	58	4	62

Accuracy

100.0%

Counts

62 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 x (.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
✓	66.2%	(.f64 x (.f64 eps #s(literal 2 binary64)))
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
✓	74.9%	(*.f64 eps eps)

Compiler

Compiled 72 to 40 computations (44.4% saved)

regimes8.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	eps
2.0ms	x
2.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

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)

regimes5.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
93.5%	3	`x`
90.3%	3	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.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
93.5%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 eps eps)

Outputs
(*.f64 eps eps)

Calls

2 calls:

1.0ms	x
1.0ms	eps

Results

Accuracy	Segments	Branch
74.9%	1	`eps`
74.9%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch49.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	3.9733063642129736e-107	1.2652596485660419e-105
16.0ms	-9.749408437167912e-136	-3.9325855299301644e-140

Results

17.0ms	151×	1	valid
5.0ms	89×	0	valid

Compiler

Compiled 224 to 162 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-pow: 8.0ms (55.9% of total)

adjust: 2.0ms (14% of total)

ival-add: 2.0ms (14% of total)

ival-sub: 2.0ms (14% of total)

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

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

bsearch58.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	3.9733063642129736e-107	1.2652596485660419e-105
16.0ms	-9.749408437167912e-136	-3.9325855299301644e-140

Results

41.0ms	156×	1	valid
5.0ms	84×	0	valid

Compiler

Compiled 224 to 162 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-pow: 23.0ms (61% of total)

ival-add: 10.0ms (26.5% of total)

adjust: 2.0ms (5.3% of total)

ival-sub: 2.0ms (5.3% of total)

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	167
1	46	167

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -3109721077501335/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (.f64 x (.f64 eps #s(literal 2 binary64))) (if (<=.f64 x #s(literal 7540169644013773/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008 binary64)) (.f64 eps eps) (.f64 x (*.f64 eps #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5892103094213055/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) (.f64 #s(literal 2 binary64) (.f64 x eps)) (if (<=.f64 x #s(literal 1776587916123793/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (.f64 eps eps) (.f64 #s(literal 2 binary64) (*.f64 x eps))))
(*.f64 eps eps)

Outputs
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -3109721077501335/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (.f64 x (.f64 eps #s(literal 2 binary64))) (if (<=.f64 x #s(literal 7540169644013773/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008 binary64)) (.f64 eps eps) (.f64 x (*.f64 eps #s(literal 2 binary64)))))
(if (or (<=.f64 x #s(literal -3109721077501335/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (not (<=.f64 x #s(literal 7540169644013773/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008 binary64)))) (.f64 x (.f64 eps #s(literal 2 binary64))) (*.f64 eps eps))
(if (<=.f64 x #s(literal -5892103094213055/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) (.f64 #s(literal 2 binary64) (.f64 x eps)) (if (<=.f64 x #s(literal 1776587916123793/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (.f64 eps eps) (.f64 #s(literal 2 binary64) (*.f64 x eps))))
(if (or (<=.f64 x #s(literal -5892103094213055/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) (not (<=.f64 x #s(literal 1776587916123793/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)))) (.f64 #s(literal 2 binary64) (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps eps)

soundness395.0ms (8.5%)

Rules

576×	`sub-neg`
528×	`distribute-lft-in`
500×	`distribute-rgt-in`
479×	`fmm-def`
478×	`distribute-lft-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	380	5598
1	824	5442
2	2290	5363
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×	done
1×	node limit
1×	node limit

Compiler

Compiled 335 to 108 computations (67.8% saved)

preprocess28.0ms (0.6%)

Compiler: Compiled 114 to 64 computations (43.9% saved)

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

analyze0.0ms (0%)

sample2.2s (48.6%)

preprocess198.0ms (4.3%)

explain266.0ms (5.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.2%)

localize23.0ms (0.5%)

series6.0ms (0.1%)

rewrite279.0ms (6%)

simplify96.0ms (2.1%)

eval28.0ms (0.6%)

prune26.0ms (0.6%)

simplify144.0ms (3.1%)

localize47.0ms (1%)

series15.0ms (0.3%)

rewrite214.0ms (4.6%)

simplify160.0ms (3.4%)

eval41.0ms (0.9%)

prune45.0ms (1%)

simplify6.0ms (0.1%)

localize20.0ms (0.4%)

series2.0ms (0%)

rewrite69.0ms (1.5%)

simplify115.0ms (2.5%)

eval8.0ms (0.2%)

prune9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch49.0ms (1.1%)

bsearch58.0ms (1.3%)

simplify3.0ms (0.1%)

soundness395.0ms (8.5%)

preprocess28.0ms (0.6%)

end0.0ms (0%)

Profiling