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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 25 to 18 computations (28% saved)

sample1.2s (35%)

Memory

23.3MiB live, 1 974.8MiB allocated

Samples

458.0ms	5 187×	0	valid
306.0ms	2 486×	1	valid
111.0ms	583×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 637.0ms

ival-pow2: 242.0ms (38% of total)

ival-<=: 174.0ms (27.3% of total)

ival-add: 79.0ms (12.4% of total)

ival-sub: 54.0ms (8.5% of total)

adjust: 50.0ms (7.9% of total)

ival-and: 21.0ms (3.3% of total)

...in/eval/compile.rkt:110:19: 14.0ms (2.2% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess211.0ms (5.9%)

Memory

-22.6MiB live, 89.6MiB allocated

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))))

explain109.0ms (3.1%)

Memory

26.5MiB live, 148.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
72	1	(-4.2171889408473136e-120 -1.2338803306947169e-204)	-	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	0	-	-	`eps`
0	0	-	-	`(pow.f64 x #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(pow.f64 (+.f64 x eps) #s(literal 2 binary64))`
0	0	-	-	`(+.f64 x eps)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`	cancellation	73	1

Confusion

	Predicted +	Predicted -
+	72	1
-	1	182

Precision

0.9863013698630136

Recall

0.9863013698630136

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	1	0
-	1	0	182

Precision?

0.9864864864864865

Recall?

1.0

Freqs

test

number	freq
0	183
1	73

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

19.0ms	328×	0	valid
16.0ms	144×	1	valid
9.0ms	40×	2	valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-pow2: 17.0ms (61.5% of total)

ival-add: 4.0ms (14.5% of total)

ival-sub: 3.0ms (10.8% of total)

adjust: 2.0ms (7.2% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 9 to 6 computations (33.3% saved)

prune2.0ms (0.1%)

Memory

-36.3MiB live, 2.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.0%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
▶	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))

Compiler

Compiled 20 to 13 computations (35% saved)

simplify86.0ms (2.4%)

Memory

4.8MiB live, 48.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

localize45.0ms (1.3%)

Memory

8.3MiB live, 85.5MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
✓	accuracy	75.0%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 eps (*.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))

Samples

13.0ms	72×	1	valid
13.0ms	164×	0	valid
4.0ms	20×	2	valid

Compiler

Compiled 43 to 12 computations (72.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-pow2: 8.0ms (41.1% of total)

ival-mult: 4.0ms (20.5% of total)

ival-add: 3.0ms (15.4% of total)

adjust: 2.0ms (10.3% of total)

ival-sub: 2.0ms (10.3% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series12.0ms (0.3%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

7 → 132

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite329.0ms (9.2%)

Memory

3.9MiB live, 243.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 175×	`log1p-expm1-u`
1 175×	`expm1-log1p-u`
648×	`fma-define`
296×	`fmm-def`
102×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

7 → 288

Calls

Call 1

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

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

simplify178.0ms (5%)

Memory

-1.2MiB live, 192.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

420 → 393

Calls

Call 1

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

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

eval45.0ms (1.3%)

Memory: 5.6MiB live, 79.2MiB allocated
Compiler: Compiled 6 278 to 1 070 computations (83% saved)

prune52.0ms (1.5%)

Memory

-0.7MiB live, 115.3MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	391	2	393
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	392	3	395

Accuracy

100.0%

Counts

395 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
▶	73.8%	(*.f64 eps eps)
▶	66.2%	(.f64 #s(literal 2 binary64) (.f64 x eps))

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify6.0ms (0.2%)

Memory

10.6MiB live, 10.6MiB allocated

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

localize20.0ms (0.6%)

Memory

-3.3MiB live, 35.8MiB allocated

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))

Samples

14.0ms

256×

valid

Compiler

Compiled 17 to 8 computations (52.9% saved)

Precisions

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

ival-mult: 7.0ms (96.7% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated

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
2.0ms	eps	@	0	(* 2 (* x eps))
1.0ms	x	@	0	(* 2 (* x eps))
1.0ms	x	@	inf	(* 2 (* x eps))
1.0ms	eps	@	inf	(* 2 (* x eps))
0.0ms	x	@	-inf	(* 2 (* x eps))

rewrite77.0ms (2.2%)

Memory

-27.8MiB live, 55.5MiB allocated

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)))

simplify118.0ms (3.3%)

Memory

-4.7MiB live, 71.8MiB allocated

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

eval10.0ms (0.3%)

Memory: 16.9MiB live, 16.9MiB allocated
Compiler: Compiled 877 to 269 computations (69.3% saved)

prune29.0ms (0.8%)

Memory

-13.4MiB live, 30.8MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	93	3	96

Accuracy

100.0%

Counts

96 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.2%	(.f64 (.f64 #s(literal 2 binary64) eps) x)
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
✓	73.8%	(*.f64 eps eps)

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify6.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated

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

localize17.0ms (0.5%)

Memory

-17.6MiB live, 20.5MiB allocated

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)

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-mult: 3.0ms (84.4% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

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

rewrite69.0ms (1.9%)

Memory

11.6MiB live, 49.7MiB allocated

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)))

simplify86.0ms (2.4%)

Memory

12.0MiB live, 49.2MiB allocated

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%)

Memory: 7.6MiB live, 7.6MiB allocated
Compiler: Compiled 525 to 170 computations (67.6% saved)

prune44.0ms (1.3%)

Memory

-24.6MiB live, 17.3MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	54	3	57

Accuracy

100.0%

Counts

57 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.2%	(.f64 (.f64 #s(literal 2 binary64) eps) x)
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
✓	73.8%	(*.f64 eps eps)

Compiler

Compiled 52 to 29 computations (44.2% saved)

regimes7.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated

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%)

Memory

5.8MiB live, 5.8MiB allocated

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	eps
2.0ms	x

Results

Accuracy	Segments	Branch
94.6%	3	`x`
88.9%	3	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

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
94.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 eps eps)

Outputs
(*.f64 eps eps)

Calls

2 calls:

1.0ms	x
1.0ms	eps

Results

Accuracy	Segments	Branch
73.8%	1	`eps`
73.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch27.0ms (0.8%)

Memory

-10.7MiB live, 28.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.808387761358318e-92	5.769283361580458e-90
12.0ms	-4.2171889408473136e-120	-3.8316964051323945e-121

Samples

13.0ms	134×	1	valid
4.0ms	74×	0	valid

Compiler

Compiled 196 to 141 computations (28.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-pow2: 6.0ms (54.6% of total)

ival-add: 2.0ms (18.2% of total)

adjust: 1.0ms (9.1% of total)

ival-sub: 1.0ms (9.1% of total)

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

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

bsearch28.0ms (0.8%)

Memory

-3.8MiB live, 34.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.808387761358318e-92	5.769283361580458e-90
11.0ms	-4.2171889408473136e-120	-3.8316964051323945e-121

Samples

16.0ms	140×	1	valid
3.0ms	68×	0	valid

Compiler

Compiled 196 to 141 computations (28.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-pow2: 6.0ms (51.6% of total)

ival-add: 2.0ms (17.2% of total)

ival-sub: 2.0ms (17.2% of total)

adjust: 1.0ms (8.6% of total)

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

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

simplify3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

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 -3052722642041549/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) (.f64 (.f64 #s(literal 2 binary64) eps) x) (if (<=.f64 x #s(literal 6054836346213789/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (.f64 eps eps) (.f64 (*.f64 #s(literal 2 binary64) eps) x)))
(if (<=.f64 x #s(literal -526958075114315/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) (.f64 #s(literal 2 binary64) (.f64 x eps)) (if (<=.f64 x #s(literal 7339195571168229/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 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 -3052722642041549/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) (.f64 (.f64 #s(literal 2 binary64) eps) x) (if (<=.f64 x #s(literal 6054836346213789/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (.f64 eps eps) (.f64 (*.f64 #s(literal 2 binary64) eps) x)))
(if (or (<=.f64 x #s(literal -3052722642041549/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) (not (<=.f64 x #s(literal 6054836346213789/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)))) (.f64 x (.f64 eps #s(literal 2 binary64))) (*.f64 eps eps))
(if (<=.f64 x #s(literal -526958075114315/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) (.f64 #s(literal 2 binary64) (.f64 x eps)) (if (<=.f64 x #s(literal 7339195571168229/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)) (.f64 eps eps) (.f64 #s(literal 2 binary64) (*.f64 x eps))))
(if (or (<=.f64 x #s(literal -526958075114315/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) (not (<=.f64 x #s(literal 7339195571168229/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)))) (.f64 #s(literal 2 binary64) (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps eps)

soundness627.0ms (17.6%)

Memory

-18.0MiB live, 406.5MiB allocated

Rules

975×	`prod-exp`
576×	`sub-neg`
570×	`cancel-sign-sub-inv`
561×	`fmm-def`
479×	`fmm-def`

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
0	173	4294969607
1	295	4294969601
2	622	4294969601
3	2198	4294969601
4	3583	4294969589
5	7413	4294969589
0	614	13701
1	1410	13383
2	4423	12920

Stop Event

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

Compiler

Compiled 292 to 93 computations (68.2% saved)

preprocess45.0ms (1.3%)

Memory: -10.4MiB live, 63.4MiB allocated
Compiler: Compiled 114 to 64 computations (43.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.2s (35%)

preprocess211.0ms (5.9%)

explain109.0ms (3.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

simplify86.0ms (2.4%)

localize45.0ms (1.3%)

series12.0ms (0.3%)

rewrite329.0ms (9.2%)

simplify178.0ms (5%)

eval45.0ms (1.3%)

prune52.0ms (1.5%)

simplify6.0ms (0.2%)

localize20.0ms (0.6%)

series6.0ms (0.2%)

rewrite77.0ms (2.2%)

simplify118.0ms (3.3%)

eval10.0ms (0.3%)

prune29.0ms (0.8%)

simplify6.0ms (0.2%)

localize17.0ms (0.5%)

series2.0ms (0.1%)

rewrite69.0ms (1.9%)

simplify86.0ms (2.4%)

eval6.0ms (0.2%)

prune44.0ms (1.3%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch27.0ms (0.8%)

bsearch28.0ms (0.8%)

simplify3.0ms (0.1%)

soundness627.0ms (17.6%)

preprocess45.0ms (1.3%)

end0.0ms (0%)

Profiling