Metrics for ENA, Section 1.4, Mentioned, A

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.6%	50.4%	0%	0%	0%	0
0%	0%	49.6%	50.4%	0%	0%	0%	1
0%	0%	49.6%	50.4%	0%	0%	0%	2
50%	24.8%	24.8%	50.4%	0%	0%	0%	3
75%	37.2%	12.4%	50.4%	0%	0%	0%	4
87.5%	43.4%	6.2%	50.4%	0%	0%	0%	5
93.8%	46.5%	3.1%	50.4%	0%	0%	0%	6
96.9%	48.1%	1.6%	50.4%	0%	0%	0%	7
98.4%	48.8%	0.8%	50.4%	0%	0%	0%	8
99.2%	49.2%	0.4%	50.4%	0%	0%	0%	9
99.6%	49.4%	0.2%	50.4%	0%	0%	0%	10
99.8%	49.5%	0.1%	50.4%	0%	0%	0%	11
99.9%	49.6%	0%	50.4%	0%	0%	0%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.9s (38.1%)

Results

1.6s	8223×	1	valid
4.0ms	33×	0	valid

Precisions

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

ival-cos: 573.0ms (48.5% of total)

...in/eval/compile.rkt:71:19: 322.0ms (27.3% of total)

adjust: 117.0ms (9.9% of total)

ival-sub: 89.0ms (7.5% of total)

ival-<=: 54.0ms (4.6% of total)

ival-and: 14.0ms (1.2% of total)

...in/eval/compile.rkt:70:19: 7.0ms (0.6% of total)

ival-assert: 5.0ms (0.4% of total)

Bogosity

preprocess107.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

16×	`fmm-def`
11×	`fma-define`
9×	`sub-neg`
7×	`associate--r+`
6×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	25	56
2	44	56
3	66	56
4	106	56
5	131	56
6	141	56
7	143	56

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs x)

explain89.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
130	-	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(cos.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	130	0

Confusion

	Predicted +	Predicted -
+	130	0
-	0	126

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	0	0	126

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	126
1	130

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

57.0ms	510×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 30 to 20 computations (33.3% saved)

Precisions

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

ival-cos: 18.0ms (55.4% of total)

ival-sub: 8.0ms (24.6% of total)

adjust: 6.0ms (18.5% of total)

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

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

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

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
▶	53.8%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Rules

8×	`sub-neg`
6×	`fma-define`
4×	`+-commutative`
3×	`1-exp`
3×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	16	27
2	20	27
3	27	27
4	34	27
5	44	27
6	55	27
7	67	27
8	70	27

Stop Event

1×

saturated

Calls

Call 1

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

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

localize35.0ms (0.7%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	53.8%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

28.0ms	255×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

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

ival-cos: 8.0ms (55.7% of total)

adjust: 3.0ms (20.9% of total)

ival-sub: 3.0ms (20.9% of total)

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

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

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

series1.0ms (0%)

Counts

2 → 8

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>

Calls

6 calls:

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

rewrite258.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

361×	`log1p-expm1-u`
361×	`expm1-log1p-u`
344×	`add-exp-log`
330×	`add-log-exp`
329×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	82	22
2	954	22

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

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

simplify116.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

694×	`unswap-sqr`
514×	`fma-define`
425×	`distribute-lft-in`
393×	`distribute-rgt-in`
324×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	278	2859
1	532	2715
2	1446	2649
3	5820	2558

Stop Event

1×	node limit

Counts

106 → 147

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 (log.f64 (E.f64)) (neg.f64 (cos.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 x))
(+.f64 (.f64 (cos.f64 (+.f64 #s(literal 1 binary64) x)) (cos.f64 #s(literal 1 binary64))) (.f64 (sin.f64 (+.f64 #s(literal 1 binary64) x)) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (cos.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cos.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 x)))) (sqrt.f64 (log.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))

Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
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(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 0 binary64) (cos.f64 x))
(cos.f64 x)
(+.f64 (.f64 (cos.f64 (+.f64 #s(literal 1 binary64) x)) (cos.f64 #s(literal 1 binary64))) (.f64 (sin.f64 (+.f64 #s(literal 1 binary64) x)) (sin.f64 #s(literal 1 binary64))))
(fma.f64 (cos.f64 (+.f64 x #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64)) (*.f64 (sin.f64 (+.f64 x #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(cos.f64 x)
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(*.f64 (cos.f64 x) (log.f64 (E.f64)))
(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(cos.f64 x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 x))
(cos.f64 x)
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(cos.f64 x)
(pow.f64 (E.f64) (log.f64 (cos.f64 x)))
(cos.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cos.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 x)))) (sqrt.f64 (log.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(cos.f64 x)
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(cos.f64 x)
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(cos.f64 x)
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(cos.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(cos.f64 x)
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(cos.f64 x)

eval32.0ms (0.7%)

Compiler: Compiled 1715 to 450 computations (73.8% saved)

prune22.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	141	6	147
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	141	7	148

Accuracy

100.0%

Counts

148 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	53.8%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
▶	52.8%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	4.2%	(+.f64 #s(literal 1 binary64) (cos.f64 x))
▶	100.0%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	99.6%	(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))

Compiler

Compiled 95 to 72 computations (24.2% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))
✓	cost-diff	-6272	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Rules

26×	`fma-define`
17×	`associate-r`
13×	`*-commutative`
11×	`associate-l`
4×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	217
1	39	209
2	67	209
3	108	209
4	128	209
5	129	209

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(sin.f64 x)
x
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
#s(literal -1/24 binary64)

Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(sin.f64 x)
x
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
#s(literal -1/24 binary64)

localize97.0ms (2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))
✓	accuracy	100.0%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
✓	accuracy	99.7%	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Results

48.0ms

256×

valid

Compiler

Compiled 73 to 19 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 6.0ms (24.4% of total)

...in/eval/compile.rkt:71:19: 4.0ms (16.3% of total)

ival-add: 3.0ms (12.2% of total)

ival-pow: 3.0ms (12.2% of total)

ival-div: 2.0ms (8.1% of total)

ival-sin: 2.0ms (8.1% of total)

ival-tan: 2.0ms (8.1% of total)

ival-cos: 2.0ms (8.1% of total)

ival-sub: 1.0ms (4.1% of total)

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

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

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

series12.0ms (0.2%)

Counts

11 → 80

Calls

Call 1

Inputs
#<alt (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))>
#<alt (sin.f64 x)>
#<alt (tan.f64 (/.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 x #s(literal 2 binary64))>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* (sin x) (tan (/ x 2)))
1.0ms	x	@	inf	(* (sin x) (tan (/ x 2)))
1.0ms	x	@	-inf	(* (sin x) (tan (/ x 2)))
1.0ms	x	@	0	(/ x 2)
0.0ms	x	@	inf	(* (pow x 2) (+ 1/2 (* (pow x 2) -1/24)))

rewrite169.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

831×	`log1p-expm1-u`
831×	`expm1-log1p-u`
435×	`prod-diff`
350×	`fma-define`
235×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	175
1	293	167
2	3728	167

Stop Event

1×	node limit

Counts

11 → 266

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(sin.f64 x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(literal 0 binary64)
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
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(fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))

simplify178.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

412×	`distribute-lft-in`
409×	`distribute-rgt-in`
350×	`associate-r`
337×	`associate-l`
214×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	594	9613
1	1206	9284
2	3604	8800

Stop Event

1×	node limit

Counts

346 → 360

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 (sin.f64 x) (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
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(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) (.f64 (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (cbrt.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 x (.f64 x (sqrt.f64 #s(literal -1/24 binary64)))) (.f64 x (.f64 x (sqrt.f64 #s(literal -1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) x) (.f64 (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x (sqrt.f64 #s(literal -1/24 binary64)))) (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) x) x (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))

Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/48 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/24 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/24 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))

eval117.0ms (2.3%)

Compiler: Compiled 5804 to 1214 computations (79.1% saved)

prune115.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	447	6	453
Fresh	1	0	1
Picked	4	1	5
Done	0	1	1
Total	452	8	460

Accuracy

100.0%

Counts

460 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	53.8%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
	100.0%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
▶	99.6%	(.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) x))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	99.6%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
▶	4.2%	#s(literal 2 binary64)
▶	52.8%	#s(literal 0 binary64)

Compiler

Compiled 93 to 70 computations (24.7% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) x)
	cost-diff	(sin.f64 x)
✓	cost-diff	(.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	cost-diff	(pow.f64 x #s(literal 4 binary64))
✓	cost-diff	(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	cost-diff	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))

Rules

7×	`*-commutative`
5×	`fma-define`
4×	`associate-r`
4×	`associate-l`
1×	`fma-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	164
1	30	164
2	41	164
3	46	164

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal -1/24 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
x
(.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) x))
(sin.f64 x)
x
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)

Outputs
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal -1/24 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/2 binary64)) x)
(.f64 x (.f64 x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x x)
x
(.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 x #s(literal 1/2 binary64)) (sin.f64 x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 x)))
(sin.f64 x)
x
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

localize58.0ms (1.2%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	100.0%	(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	accuracy	100.0%	(pow.f64 x #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))

Results

39.0ms

256×

valid

Compiler

Compiled 52 to 17 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 9.0ms (40.1% of total)

...in/eval/compile.rkt:71:19: 5.0ms (22.3% of total)

ival-fma: 3.0ms (13.4% of total)

ival-pow: 3.0ms (13.4% of total)

ival-sin: 2.0ms (8.9% of total)

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

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

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

series6.0ms (0.1%)

Counts

8 → 60

Calls

Call 1

Inputs
#<alt (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (pow.f64 x #s(literal 4 binary64))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/12 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal -1/10080 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 x)))>

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* (sin x) (* 1/2 x))
1.0ms	x	@	-inf	(* (sin x) (* 1/2 x))
0.0ms	x	@	inf	(+ (* (* x 1/2) x) (* -1/24 (pow x 4)))
0.0ms	x	@	0	(* (sin x) (* 1/2 x))
0.0ms	x	@	0	(+ (* (* x 1/2) x) (* -1/24 (pow x 4)))

rewrite160.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`log1p-expm1-u`
764×	`expm1-log1p-u`
488×	`log-prod`
409×	`prod-diff`
220×	`pow-unpow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	131
1	217	128
2	2232	128

Stop Event

1×	node limit

Counts

8 → 187

Calls

Call 1

Inputs
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(*.f64 x x)
(.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)

Outputs
(+.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/576 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/576 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64)) (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/576 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/24 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 12 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 12 binary64))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 6 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (sin.f64 x) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))

simplify136.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

861×	`prod-exp`
756×	`times-frac`
584×	`fmm-def`
370×	`*-commutative`
322×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	420	4294972710
1	785	4294972536
2	2260	4294972508
3	4429	4294972484

Stop Event

1×	node limit

Counts

247 → 217

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/12 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (.f64 #s(literal -1/10080 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 x)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 x)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 x)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 x)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 x)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 x)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 x)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sin.f64 x)))
(+.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/576 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/576 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64)) (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/576 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/24 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/24 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 12 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 12 binary64))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 6 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (sin.f64 x) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 (.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 (sin.f64 x) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (exp.f64 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) x)
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)

eval31.0ms (0.6%)

Compiler: Compiled 3312 to 787 computations (76.2% saved)

prune68.0ms (1.4%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	246	1	247
Fresh	0	1	1
Picked	1	4	5
Done	0	2	2
Total	247	8	255

Accuracy

100.0%

Counts

255 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	53.8%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
▶	100.0%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
✓	99.6%	(.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) x))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	99.6%	(.f64 x (.f64 #s(literal 1/2 binary64) x))
✓	4.2%	#s(literal 2 binary64)
✓	52.8%	#s(literal 0 binary64)

Compiler

Compiled 53 to 40 computations (24.5% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-12608	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
	cost-diff	-6336	(*.f64 x x)
✓	cost-diff	-6336	(.f64 (.f64 x x) #s(literal -1/24 binary64))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	-6336	(.f64 x (.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)

Rules

25×	`fma-define`
17×	`associate-r`
9×	`*-commutative`
9×	`associate-l`
4×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	136
1	30	125
2	59	125
3	100	125
4	116	125

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (.f64 #s(literal 1/2 binary64) x))
x
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
#s(literal 1/2 binary64)
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(*.f64 x x)
#s(literal -1/24 binary64)

Outputs
(.f64 x (.f64 #s(literal 1/2 binary64) x))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
x
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
#s(literal -1/24 binary64)

localize84.0ms (1.7%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/24 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)

Results

70.0ms

256×

valid

Compiler

Compiled 45 to 13 computations (71.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 48.0ms (84.9% of total)

...in/eval/compile.rkt:71:19: 3.0ms (5.3% of total)

ival-pow: 3.0ms (5.3% of total)

ival-add: 1.0ms (1.8% of total)

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

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

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

series2.0ms (0.1%)

Counts

5 → 48

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (.f64 #s(literal 1/2 binary64) x))>
#<alt (.f64 (.f64 x x) #s(literal -1/24 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* 1/2 x)
0.0ms	x	@	inf	(* (pow x 2) (+ 1/2 (* (* x x) -1/24)))
0.0ms	x	@	-inf	(* (pow x 2) (+ 1/2 (* (* x x) -1/24)))
0.0ms	x	@	inf	(+ 1/2 (* (* x x) -1/24))
0.0ms	x	@	-inf	(+ 1/2 (* (* x x) -1/24))

rewrite168.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`log1p-expm1-u`
785×	`expm1-log1p-u`
538×	`prod-diff`
453×	`log-prod`
242×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	180	93
2	2293	93

Stop Event

1×	node limit

Counts

5 → 197

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))
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(fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) x) x (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x (sqrt.f64 #s(literal -1/24 binary64)))) (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (.f64 x #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))

simplify206.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

888×	`fmm-def`
442×	`distribute-lft-in`
442×	`prod-exp`
379×	`distribute-rgt-in`
334×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	431	7396
1	890	7312
2	2440	7074
3	6155	7074

Stop Event

1×	node limit

Counts

245 → 245

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/24 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
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(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) x) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) x) (.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -1/24 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) (.f64 (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) x) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) x) (.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (cbrt.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) x) (.f64 (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 x (.f64 x (sqrt.f64 #s(literal -1/24 binary64)))) (.f64 x (.f64 x (sqrt.f64 #s(literal -1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) x) x (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x (sqrt.f64 #s(literal -1/24 binary64)))) (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/13824 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (.f64 x #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))

Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
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(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (.f64 x #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/24 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) (.f64 x (sqrt.f64 #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/24 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))

eval52.0ms (1%)

Compiler: Compiled 4483 to 846 computations (81.1% saved)

prune73.0ms (1.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	292	1	293
Fresh	0	0	0
Picked	1	1	2
Done	2	4	6
Total	295	6	301

Accuracy

100.0%

Counts

301 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
✓	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓	99.6%	(.f64 x (.f64 #s(literal 1/2 binary64) x))
✓	4.2%	#s(literal 2 binary64)
✓	52.8%	#s(literal 0 binary64)

Compiler

Compiled 135 to 64 computations (52.6% saved)

regimes16.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) x))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))

Outputs
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))

Calls

3 calls:

8.0ms	x
4.0ms	(cos.f64 x)
4.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) x))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Calls

3 calls:

4.0ms	x
3.0ms	(cos.f64 x)
3.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes14.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) x))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))

Outputs
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))

Calls

3 calls:

6.0ms	(cos.f64 x)
4.0ms	x
3.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/2 binary64) x))

Outputs
(.f64 x (.f64 #s(literal 1/2 binary64) x))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 x x))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Accuracy

Total -31.6b remaining (-104.7%)

Threshold costs -31.6b (-104.7%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
#s(literal 0 binary64)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
52.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	145
1	35	145

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(.f64 x (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
#s(literal 0 binary64)

Outputs
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))))
(.f64 x (.f64 #s(literal 1/2 binary64) x))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
#s(literal 0 binary64)

soundness533.0ms (10.7%)

Rules

831×	`log1p-expm1-u`
831×	`expm1-log1p-u`
694×	`unswap-sqr`
514×	`fma-define`
435×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	175
1	293	167
2	3728	167
0	9	22
1	82	22
2	954	22
0	278	2859
1	532	2715
2	1446	2649
3	5820	2558

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 422 to 133 computations (68.5% saved)

preprocess45.0ms (0.9%)

Remove: (abs x)
Compiler: Compiled 178 to 110 computations (38.2% saved)

analyze3.0ms (0.1%)

sample1.9s (38.1%)

preprocess107.0ms (2.1%)

explain89.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.2%)

localize35.0ms (0.7%)

series1.0ms (0%)

rewrite258.0ms (5.2%)

simplify116.0ms (2.3%)

eval32.0ms (0.7%)

prune22.0ms (0.4%)

simplify15.0ms (0.3%)

localize97.0ms (2%)

series12.0ms (0.2%)

rewrite169.0ms (3.4%)

simplify178.0ms (3.6%)

eval117.0ms (2.3%)

prune115.0ms (2.3%)

simplify9.0ms (0.2%)

localize58.0ms (1.2%)

series6.0ms (0.1%)

rewrite160.0ms (3.2%)

simplify136.0ms (2.7%)

eval31.0ms (0.6%)

prune68.0ms (1.4%)

simplify11.0ms (0.2%)

localize84.0ms (1.7%)

series2.0ms (0.1%)

rewrite168.0ms (3.4%)

simplify206.0ms (4.2%)

eval52.0ms (1%)

prune73.0ms (1.5%)

regimes16.0ms (0.3%)

regimes11.0ms (0.2%)

regimes14.0ms (0.3%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

simplify3.0ms (0.1%)

soundness533.0ms (10.7%)

preprocess45.0ms (0.9%)

end0.0ms (0%)

Profiling