Metrics for Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

analyze1.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

sample530.0ms (28.6%)

Results

357.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-sub: 71.0ms (47.3% of total)

ival-div: 65.0ms (43.3% of total)

const: 11.0ms (7.3% of total)

backward-pass: 3.0ms (2% of total)

Bogosity

preprocess60.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

175×	`fma-define`
67×	`fma-neg`
39×	`associate-l`
26×	`times-frac`
23×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	96
1	31	80
2	60	76
3	127	76
4	267	76
5	454	76
6	652	76
7	740	76
8	771	76
9	783	76

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 x))))

Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 x (-.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))

explain47.0ms (2.6%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`#s(literal 1 binary64)`
-	-	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Results

30.0ms

512×

256

valid

Compiler

Compiled 30 to 20 computations (33.3% saved)

Precisions

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

ival-sub: 10.0ms (66% of total)

ival-div: 4.0ms (26.4% of total)

const: 1.0ms (6.6% of total)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize20.0ms (1.1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Results

13.0ms

256×

256

valid

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

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

ival-sub: 3.0ms (54.1% of total)

ival-div: 2.0ms (36.1% of total)

const: 1.0ms (18% of total)

series2.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/.f64 x (-.f64 #s(literal 1 binary64) x))>

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

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ x (- 1 x))
0.0ms	x	@	-inf	(/ x (- 1 x))
0.0ms	x	@	0	(/ x (- 1 x))

rewrite192.0ms (10.3%)

Algorithm

1×	batch-egg-rewrite

Rules

449×	`log1p-expm1-u`
449×	`expm1-log1p-u`
433×	`add-exp-log`
420×	`add-log-exp`
393×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	88	19
2	1181	19

Stop Event

1×	node limit

Counts

1 → 71

Calls

Call 1

Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 5/2 binary64))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)))

simplify83.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-neg`
563×	`distribute-lft-neg-out`
359×	`associate-r`
355×	`associate-l`
313×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	234	2710
1	474	2642
2	1055	2597
3	4353	2573

Stop Event

1×	node limit

Counts

83 → 135

Calls

Call 1

Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) x)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 5/2 binary64))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)))

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

eval61.0ms (3.3%)

Compiler: Compiled 1668 to 1274 computations (23.6% saved)

prune22.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	130	5	135
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	130	6	136

Accuracy

100.0%

Counts

136 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
▶	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
▶	48.6%	(*.f64 x (+.f64 x #s(literal 1 binary64)))
▶	49.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
▶	48.8%	x
▶	51.7%	#s(literal -1 binary64)

Compiler

Compiled 62 to 46 computations (25.8% saved)

localize90.0ms (4.8%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
✓	100.0%	(*.f64 x (+.f64 x #s(literal 1 binary64)))
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
✓	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))

Results

61.0ms

256×

256

valid

Compiler

Compiled 58 to 40 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-add: 21.0ms (51.2% of total)

ival-mult: 10.0ms (24.4% of total)

ival-div: 8.0ms (19.5% of total)

const: 2.0ms (4.9% of total)

series9.0ms (0.5%)

Counts

5 → 55

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))>
#<alt (*.f64 x (+.f64 x #s(literal 1 binary64)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>

Outputs
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))>
#<alt #s(literal -1 binary64)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal -1 binary64)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<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 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<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 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))))>
#<alt x>
#<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 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<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 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x (+ x 1))
0.0ms	x	@	inf	(* x (+ 1 (* x (+ 1 x))))
0.0ms	x	@	-inf	(* x (+ 1 (* x (+ 1 x))))
0.0ms	x	@	inf	(* x (+ x 1))
0.0ms	x	@	0	(+ (/ 1 x) -1)

rewrite133.0ms (7.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1174×	`log1p-expm1-u`
1174×	`expm1-log1p-u`
299×	`fma-neg`
104×	`add-cube-cbrt`
103×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	110
1	269	104
2	3463	104

Stop Event

1×	node limit

Counts

5 → 180

Calls

Call 1

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

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

simplify164.0ms (8.8%)

Algorithm

1×	egg-herbie

Rules

715×	`fma-define`
514×	`distribute-lft-in`
489×	`distribute-rgt-in`
234×	`prod-exp`
215×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	7082
1	774	6851
2	2245	6202
3	7895	6202

Stop Event

1×	node limit

Counts

235 → 217

Calls

Call 1

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

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

eval197.0ms (10.6%)

Compiler: Compiled 2755 to 2029 computations (26.4% saved)

prune29.0ms (1.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	217	6	223

Accuracy

100.0%

Counts

223 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
✓	48.6%	(*.f64 x (+.f64 x #s(literal 1 binary64)))
✓	49.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
✓	48.8%	x
✓	51.7%	#s(literal -1 binary64)

Compiler

Compiled 63 to 45 computations (28.6% saved)

regimes4.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes4.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
x
(*.f64 x (+.f64 x #s(literal 1 binary64)))

Outputs
#s(literal -1 binary64)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
#s(literal -1 binary64)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.5%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
x

Outputs
#s(literal -1 binary64)
x
#s(literal -1 binary64)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
97.0%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
51.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch19.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.1972534660033585e-5	1418.1166177788277
7.0ms	-1.4232435500602156	-0.17991613525356442

Results

10.0ms

240×

valid

Compiler

Compiled 160 to 127 computations (20.6% saved)

Precisions

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

ival-div: 3.0ms (62.1% of total)

ival-sub: 1.0ms (20.7% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.1972534660033585e-5	1418.1166177788277
6.0ms	-1.4232435500602156	-0.17991613525356442

Results

10.0ms

240×

valid

Compiler

Compiled 100 to 82 computations (18% saved)

Precisions

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

ival-sub: 2.0ms (45% of total)

ival-div: 2.0ms (45% of total)

const: 0.0ms (0% of total)

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

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`if-if-or-not`
3×	`1-exp`
3×	`+-commutative`
2×	`sub-neg`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	95
1	39	95
2	42	95
3	44	95
4	45	95

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal -3/4 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(literal -1 binary64)

Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal -3/4 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(literal -1 binary64)

soundness118.0ms (6.4%)

Rules

664×	`fma-neg`
563×	`distribute-lft-neg-out`
359×	`associate-r`
355×	`associate-l`
313×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	234	2710
1	474	2642
2	1055	2597
3	4353	2573

Stop Event

1×	done
1×	node limit

Compiler

Compiled 44 to 31 computations (29.5% saved)

preprocess39.0ms (2.1%)

Compiler: Compiled 78 to 56 computations (28.2% saved)

Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

analyze1.0ms (0.1%)

sample530.0ms (28.6%)

preprocess60.0ms (3.2%)

explain47.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize20.0ms (1.1%)

series2.0ms (0.1%)

rewrite192.0ms (10.3%)

simplify83.0ms (4.5%)

eval61.0ms (3.3%)

prune22.0ms (1.2%)

localize90.0ms (4.8%)

series9.0ms (0.5%)

rewrite133.0ms (7.2%)

simplify164.0ms (8.8%)

eval197.0ms (10.6%)

prune29.0ms (1.5%)

regimes4.0ms (0.2%)

regimes4.0ms (0.2%)

regimes9.0ms (0.5%)

regimes1.0ms (0%)

bsearch19.0ms (1%)

bsearch18.0ms (1%)

simplify3.0ms (0.2%)

soundness118.0ms (6.4%)

preprocess39.0ms (2.1%)

end0.0ms (0%)

Profiling