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 26 to 18 computations (30.8% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

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

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

sample1.8s (45.7%)

Results

798.0ms	5206×	0	valid
525.0ms	2485×	1	valid
134.0ms	565×	2	valid

Precisions

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

ival-pow: 315.0ms (31% of total)

ival-add: 309.0ms (30.4% of total)

ival-<=: 209.0ms (20.6% of total)

backward-pass: 68.0ms (6.7% of total)

ival-sub: 66.0ms (6.5% of total)

const: 25.0ms (2.5% of total)

ival-and: 25.0ms (2.5% of total)

Bogosity

preprocess210.0ms (5.3%)

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))))

explain141.0ms (3.6%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
70	1	(-1.4710889803003267e-156 5.559783241344417e-161)	-	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	0	-	-	`x`
0	77	(1.908328814633035e-243 3.8588823953195446e-144)	-	`(pow.f64 (+.f64 x eps) #s(literal 2 binary64))`
0	0	-	-	`(+.f64 x eps)`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(pow.f64 x #s(literal 2 binary64))`
0	0	-	-	`eps`

Results

70.0ms	148×	1	valid
25.0ms	330×	0	valid
9.0ms	34×	2	valid

Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-pow: 20.0ms (58.5% of total)

ival-add: 5.0ms (14.6% of total)

backward-pass: 4.0ms (11.7% of total)

ival-sub: 4.0ms (11.7% of total)

const: 1.0ms (2.9% 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)

simplify7.0ms (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)

localize28.0ms (0.7%)

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

21.0ms

256×

valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (65.1% of total)

ival-add: 2.0ms (32.5% of total)

const: 0.0ms (0% of total)

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

series12.0ms (0.3%)

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
6.0ms	eps	@	0	(* eps (+ eps (* x 2)))
1.0ms	eps	@	inf	(* eps (+ eps (* x 2)))
1.0ms	x	@	inf	(* eps (+ eps (* x 2)))
0.0ms	x	@	-inf	(* eps (+ eps (* x 2)))
0.0ms	eps	@	-inf	(* eps (+ eps (* x 2)))

rewrite213.0ms (5.4%)

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)

simplify135.0ms (3.4%)

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

eval27.0ms (0.7%)

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

prune69.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	196	2	198
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	196	3	199

Accuracy

100.0%

Counts

199 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
▶	75.2%	(*.f64 eps eps)
▶	63.9%	(.f64 #s(literal 2 binary64) (.f64 x eps))

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	15	58
2	22	58
3	24	58

Stop Event

1×

saturated

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

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

localize24.0ms (0.6%)

Localize:

Found 3 expressions of interest:

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

Results

17.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 6.0ms (91.3% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
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))
0.0ms	eps	@	0	(* eps eps)

rewrite74.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

473×	`unpow-prod-down`
419×	`log1p-expm1-u`
419×	`expm1-log1p-u`
401×	`add-exp-log`
385×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	107	42
2	1212	42

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

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

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

simplify128.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

975×	`prod-exp`
429×	`fmm-def`
358×	`associate-+r-`
358×	`*-commutative`
249×	`exp-prod`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	173	4294969607
1	295	4294969601
2	622	4294969601
3	2198	4294969601
4	3583	4294969589
5	7413	4294969589

Stop Event

1×	node limit

Counts

127 → 93

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

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

eval12.0ms (0.3%)

Compiler: Compiled 877 to 269 computations (69.3% saved)

prune12.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	92	4	96

Accuracy

100.0%

Counts

96 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.9%	(.f64 (.f64 #s(literal 2 binary64) eps) x)
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
✓	75.2%	(*.f64 eps eps)
✓	63.9%	(.f64 #s(literal 2 binary64) (.f64 x eps))

Compiler

Compiled 28 to 19 computations (32.1% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

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

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

localize18.0ms (0.5%)

Localize:

Found 2 expressions of interest:

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

Results

13.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-mult: 4.0ms (95.3% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

2 → 24

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite71.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

397×	`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	1011	29

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

simplify85.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

856×	`fmm-def`
499×	`exp-sum`
370×	`associate-r`
366×	`times-frac`
329×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	1368
1	212	1362
2	412	1356
3	933	1356
4	2819	1356
5	5026	1356

Stop Event

1×	node limit

Counts

67 → 54

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

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

eval6.0ms (0.2%)

Compiler: Compiled 525 to 170 computations (67.6% saved)

prune69.0ms (1.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	54	4	58

Accuracy

100.0%

Counts

58 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.9%	(.f64 (.f64 #s(literal 2 binary64) eps) x)
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
✓	75.2%	(*.f64 eps eps)
✓	63.9%	(.f64 #s(literal 2 binary64) (.f64 x eps))

Compiler

Compiled 59 to 34 computations (42.4% saved)

regimes7.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	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)

regimes4.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
91.1%	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:

1.0ms

Results

Accuracy	Segments	Branch
91.1%	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	eps
1.0ms	x

Results

Accuracy	Segments	Branch
75.2%	1	`eps`
75.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch40.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.3835628777946077e-134	3.446142754491239e-129
18.0ms	-4.803157219430898e-74	-2.9370150919672546e-75

Results

22.0ms	166×	1	valid
7.0ms	90×	0	valid

Compiler

Compiled 240 to 171 computations (28.8% saved)

Precisions

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

ival-pow: 9.0ms (49.3% of total)

ival-add: 4.0ms (21.9% of total)

ival-sub: 2.0ms (11% of total)

backward-pass: 2.0ms (11% of total)

const: 0.0ms (0% of total)

bsearch98.0ms (2.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.3835628777946077e-134	3.446142754491239e-129
74.0ms	-4.803157219430898e-74	-2.9370150919672546e-75

Results

28.0ms	156×	1	valid
6.0ms	100×	0	valid

Compiler

Compiled 240 to 171 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

backward-pass: 10.0ms (41.6% of total)

ival-pow: 9.0ms (37.4% of total)

ival-add: 3.0ms (12.5% of total)

ival-sub: 2.0ms (8.3% of total)

const: 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 -7129625917170701/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) (.f64 (.f64 #s(literal 2 binary64) eps) x) (if (<=.f64 x #s(literal 5306972535537187/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) (.f64 eps eps) (.f64 (*.f64 #s(literal 2 binary64) eps) x)))
(if (<=.f64 x #s(literal -3055553964501729/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (.f64 #s(literal 2 binary64) (.f64 x eps)) (if (<=.f64 x #s(literal 1170655706368497/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 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 -7129625917170701/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) (.f64 (.f64 #s(literal 2 binary64) eps) x) (if (<=.f64 x #s(literal 5306972535537187/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) (.f64 eps eps) (.f64 (*.f64 #s(literal 2 binary64) eps) x)))
(if (or (<=.f64 x #s(literal -7129625917170701/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) (not (<=.f64 x #s(literal 5306972535537187/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)))) (.f64 x (.f64 eps #s(literal 2 binary64))) (*.f64 eps eps))
(if (<=.f64 x #s(literal -3055553964501729/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (.f64 #s(literal 2 binary64) (.f64 x eps)) (if (<=.f64 x #s(literal 1170655706368497/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) (.f64 eps eps) (.f64 #s(literal 2 binary64) (*.f64 x eps))))
(if (or (<=.f64 x #s(literal -3055553964501729/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (not (<=.f64 x #s(literal 1170655706368497/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)))) (.f64 #s(literal 2 binary64) (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps eps)

soundness592.0ms (15%)

Rules

975×	`prod-exp`
576×	`sub-neg`
528×	`distribute-lft-in`
500×	`distribute-rgt-in`
479×	`fmm-def`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	173	4294969607
1	295	4294969601
2	622	4294969601
3	2198	4294969601
4	3583	4294969589
5	7413	4294969589
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
1×	node limit

Compiler

Compiled 292 to 93 computations (68.2% saved)

preprocess29.0ms (0.7%)

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

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

analyze0.0ms (0%)

sample1.8s (45.7%)

preprocess210.0ms (5.3%)

explain141.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.2%)

localize28.0ms (0.7%)

series12.0ms (0.3%)

rewrite213.0ms (5.4%)

simplify135.0ms (3.4%)

eval27.0ms (0.7%)

prune69.0ms (1.8%)

simplify7.0ms (0.2%)

localize24.0ms (0.6%)

series5.0ms (0.1%)

rewrite74.0ms (1.9%)

simplify128.0ms (3.2%)

eval12.0ms (0.3%)

prune12.0ms (0.3%)

simplify7.0ms (0.2%)

localize18.0ms (0.5%)

series1.0ms (0%)

rewrite71.0ms (1.8%)

simplify85.0ms (2.1%)

eval6.0ms (0.2%)

prune69.0ms (1.7%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch40.0ms (1%)

bsearch98.0ms (2.5%)

simplify3.0ms (0.1%)

soundness592.0ms (15%)

preprocess29.0ms (0.7%)

end0.0ms (0%)

Profiling