Metrics for ENA, Section 1.4, Mentioned, A

analyze5.0ms (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 13 to 10 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-cos: 1.0ms (39% of total)

...c/correct-round.rkt:138:19: 1.0ms (39% of total)

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

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

const: 0.0ms (0% of total)

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

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

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

sample2.3s (43.6%)

Results

1.8s	8225×	1	valid
114.0ms	31×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

...c/correct-round.rkt:138:19: 578.0ms (37% of total)

ival-cos: 417.0ms (26.7% of total)

ival-<=: 208.0ms (13.3% of total)

backward-pass: 185.0ms (11.9% of total)

ival-sub: 143.0ms (9.2% of total)

const: 11.0ms (0.7% of total)

ival-and: 11.0ms (0.7% of total)

ival-assert: 8.0ms (0.5% of total)

Bogosity

preprocess44.0ms (0.9%)

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)

explain133.0ms (2.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
133	-	-	`(-.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	133	0

Confusion

	Predicted +	Predicted -
+	133	0
-	0	123

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	0	0	123

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	123
1	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

65.0ms

512×

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-cos: 24.0ms (62.2% of total)

ival-sub: 6.0ms (15.6% of total)

backward-pass: 6.0ms (15.6% of total)

const: 1.0ms (2.6% of total)

ival-true: 1.0ms (2.6% of total)

ival-assert: 1.0ms (2.6% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify8.0ms (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

localize40.0ms (0.8%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	53.5%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

30.0ms

256×

valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

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

ival-cos: 8.0ms (43.9% of total)

ival-sub: 6.0ms (32.9% of total)

backward-pass: 3.0ms (16.4% of total)

const: 0.0ms (0% of total)

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

ival-true: 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 (4.9%)

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))

simplify100.0ms (1.9%)

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))
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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)

eval17.0ms (0.3%)

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

prune53.0ms (1%)

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%	(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))))
	100.0%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
✓	53.5%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
▶	52.2%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	4.2%	(+.f64 #s(literal 1 binary64) (cos.f64 x))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	99.3%	(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))

Compiler

Compiled 93 to 74 computations (20.4% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	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))))
✓	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	(pow.f64 x #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(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))))

Rules

6×	`*-commutative`
5×	`fma-define`
3×	`1-exp`
2×	`+-commutative`
1×	`fma-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	202
1	35	202
2	41	202
3	48	202

Stop Event

1×

saturated

Calls

Call 1

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

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

localize85.0ms (1.6%)

Localize:

Found 13 expressions of interest:

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

Results

61.0ms

256×

valid

Compiler

Compiled 70 to 20 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-pow: 8.0ms (24% of total)

ival-mult: 5.0ms (15% of total)

ival-fma: 4.0ms (12% of total)

...c/correct-round.rkt:138:19: 4.0ms (12% of total)

ival-div: 2.0ms (6% of total)

ival-sin: 2.0ms (6% of total)

ival-tan: 2.0ms (6% of total)

ival-cos: 2.0ms (6% of total)

ival-add: 1.0ms (3% of total)

ival-sub: 1.0ms (3% of total)

const: 1.0ms (3% of total)

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

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

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

series256.0ms (4.9%)

Counts

11 → 56

Calls

Call 1

Inputs
#<alt (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))))>
#<alt (pow.f64 x #s(literal 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 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 (*.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))>

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 #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 1/2 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)>

Calls

30 calls:

Time	Variable		Point	Expression
242.0ms	x	@	-inf	(/ x 2)
1.0ms	x	@	-inf	(* (sin x) (tan (/ x 2)))
1.0ms	x	@	inf	(* (sin x) (tan (/ x 2)))
1.0ms	x	@	0	(* (sin x) (tan (/ x 2)))
1.0ms	x	@	0	(+ (* 1/2 (pow x 2)) (* -1/24 (pow x 4)))

rewrite183.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`log1p-expm1-u`
725×	`expm1-log1p-u`
624×	`log-prod`
417×	`prod-diff`
234×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	159
1	280	159
2	3258	159

Stop Event

1×	node limit

Counts

11 → 244

Calls

Call 1

Inputs
(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 x #s(literal 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 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)))
(*.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))

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

simplify182.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

328×	`exp-prod`
304×	`cube-prod`
294×	`associate-r`
276×	`associate-l`
228×	`fabs-mul`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	592	7522
1	1114	7221
2	3704	7207
3	6901	7195

Stop Event

1×	node limit

Counts

300 → 330

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

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

eval101.0ms (1.9%)

Compiler: Compiled 5172 to 1194 computations (76.9% saved)

prune51.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	401	6	407
Fresh	1	0	1
Picked	4	1	5
Done	0	1	1
Total	406	8	414

Accuracy

100.0%

Counts

414 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	53.5%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
▶	99.3%	(.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))))
▶	99.3%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
	66.9%	(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 6 binary64))))
▶	4.2%	#s(literal 2 binary64)
▶	52.2%	#s(literal 0 binary64)

Compiler

Compiled 83 to 64 computations (22.9% saved)

simplify8.0ms (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 x)
✓	cost-diff	(fma.f64 #s(literal 1/2 binary64) (.f64 x 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	20	167
1	28	167
2	39	167
3	44	167

Stop Event

1×

saturated

Calls

Call 1

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

localize128.0ms (2.5%)

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

Results

101.0ms

256×

valid

Compiler

Compiled 53 to 16 computations (69.8% saved)

Precisions

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

ival-mult: 10.0ms (39.7% of total)

ival-pow: 5.0ms (19.8% of total)

...c/correct-round.rkt:138:19: 4.0ms (15.9% of total)

ival-fma: 3.0ms (11.9% of total)

ival-sin: 2.0ms (7.9% of total)

const: 1.0ms (4% of total)

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

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

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

series5.0ms (0.1%)

Counts

5 → 48

Calls

Call 1

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

15 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	@	0	(* (sin x) (* 1/2 x))
0.0ms	x	@	0	(+ (* 1/2 (* x x)) (* -1/24 (pow x 4)))
0.0ms	x	@	inf	(+ (* 1/2 (* x x)) (* -1/24 (pow x 4)))

rewrite107.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	92
1	194	92
2	2212	92

Stop Event

1×	node limit

Counts

5 → 124

Calls

Call 1

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

simplify113.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

834×	`fma-define`
442×	`prod-exp`
390×	`distribute-lft-in`
345×	`distribute-rgt-in`
299×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	338	4294971612
1	646	4294971438
2	1778	4294971396
3	5012	4294971366

Stop Event

1×	node limit

Counts

172 → 171

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)))
(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 #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 (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 #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (.f64 (pow.f64 (exp.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 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (exp.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))))) (+.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 #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)))))))
(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 #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))))) (+.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) (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 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 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 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 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 #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 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 6 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 (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) (.f64 x (.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(+.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 x (.f64 #s(literal 1/2 binary64) (sin.f64 x))))) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sin.f64 x))) #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 x (.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (sin.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 (sin.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (sin.f64 x))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) #s(literal 2 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)))
(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)))

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)))
(.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)))
(.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)))
(*.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) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 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) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 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) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 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) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 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) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 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) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/24 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 #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 (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)) #s(literal -1/12 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 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 1/240 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)) (fma.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)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal -1/12 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 1/240 binary64) (.f64 #s(literal -1/10080 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)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/10080 binary64))) #s(literal -1/12 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 -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 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 1/240 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/10080 binary64) #s(literal -1/12 binary64))) #s(literal 1/2 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)))
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eval74.0ms (1.4%)

Compiler: Compiled 3737 to 837 computations (77.6% saved)

prune36.0ms (0.7%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	282	1	283
Fresh	1	0	1
Picked	0	5	5
Done	0	2	2
Total	283	8	291

Accuracy

100.0%

Counts

291 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	53.5%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	99.3%	(.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))))
▶	97.8%	(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
✓	99.3%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	4.2%	#s(literal 2 binary64)
✓	52.2%	#s(literal 0 binary64)

Compiler

Compiled 48 to 37 computations (22.9% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(cbrt.f64 x)
✓	cost-diff	(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	12	48

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
#s(literal 1/2 binary64)
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(cbrt.f64 x)
x
#s(literal 6 binary64)

Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
#s(literal 1/2 binary64)
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(cbrt.f64 x)
x
#s(literal 6 binary64)

localize30.0ms (0.6%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
✓	accuracy	99.2%	(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
✓	accuracy	98.9%	(cbrt.f64 x)

Results

22.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-pow: 5.0ms (50.1% of total)

ival-mult: 2.0ms (20% of total)

ival-cbrt: 2.0ms (20% of total)

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

const: 0.0ms (0% of total)

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

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

series8.0ms (0.1%)

Counts

3 → 28

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))>
#<alt (pow.f64 (cbrt.f64 x) #s(literal 6 binary64))>
#<alt (cbrt.f64 x)>

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) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* 1/2 (pow (cbrt x) 6))
2.0ms	x	@	inf	(cbrt x)
1.0ms	x	@	0	(cbrt x)
0.0ms	x	@	-inf	(cbrt x)
0.0ms	x	@	0	(* 1/2 (pow (cbrt x) 6))

rewrite104.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

333×	`unpow-prod-down`
293×	`log1p-expm1-u`
293×	`expm1-log1p-u`
276×	`add-exp-log`
261×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	90	34
2	917	34

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(cbrt.f64 x)

Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 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 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 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 (.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 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 5 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 15 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 8 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 15 binary64))) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 5/6 binary64))) (cbrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 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))))
(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 2/3 binary64) (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (cbrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 5 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cbrt.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (cbrt.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 2 binary64)))

simplify108.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

746×	`times-frac`
604×	`distribute-lft-in`
558×	`fmm-def`
520×	`distribute-rgt-in`
377×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	8589937569
1	485	8589937248
2	1524	8589937216
3	5604	8589937216

Stop Event

1×	node limit

Counts

127 → 127

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) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 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 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 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 (.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 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 5 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 15 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 8 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 15 binary64))) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 5/6 binary64))) (cbrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 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))))
(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 2/3 binary64) (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (cbrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 1/12 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/6 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 5 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) (+.f64 #s(literal 1 binary64) (cbrt.f64 x))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cbrt.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (cbrt.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 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) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (neg.f64 (cbrt.f64 x)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 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 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
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(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(+.f64 #s(literal -1 binary64) (+.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(cbrt.f64 x)
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(+.f64 #s(literal -1 binary64) (+.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(+.f64 #s(literal -1 binary64) (+.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(cbrt.f64 x)
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 x)) #s(literal 2 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(cbrt.f64 x)

eval16.0ms (0.3%)

Compiler: Compiled 1546 to 453 computations (70.7% saved)

prune23.0ms (0.4%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	127	8	135

Accuracy

100.0%

Counts

135 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	53.5%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	99.3%	(.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))))
✓	97.8%	(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
✓	99.3%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	4.2%	#s(literal 2 binary64)
✓	52.2%	#s(literal 0 binary64)

Compiler

Compiled 126 to 71 computations (43.7% saved)

regimes14.0ms (0.3%)

Counts

14 → 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 #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 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(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))))

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

Calls

3 calls:

6.0ms	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

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 #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 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 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)

regimes10.0ms (0.2%)

Counts

10 → 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 #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 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 6 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
99.3%	1	`(cos.f64 x)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes10.0ms (0.2%)

Counts

7 → 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 #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)))

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

Calls

3 calls:

4.0ms	(cos.f64 x)
3.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
99.3%	1	`(cos.f64 x)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Accuracy

Total -31.2b remaining (-102%)

Threshold costs -31.2b (-102%)

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:

2.0ms

Results

Accuracy	Segments	Branch
52.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	106
1	28	106

Stop Event

1×

saturated

Calls

Call 1

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

soundness509.0ms (9.7%)

Rules

725×	`log1p-expm1-u`
725×	`expm1-log1p-u`
694×	`unswap-sqr`
624×	`log-prod`
514×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	159
1	280	159
2	3258	159
0	9	22
1	82	22
2	954	22
0	278	2859
1	532	2715
2	1446	2649
3	5820	2558

Stop Event

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

Compiler

Compiled 264 to 93 computations (64.8% saved)

preprocess89.0ms (1.7%)

Remove: (abs x)
Compiler: Compiled 136 to 88 computations (35.3% saved)

analyze5.0ms (0.1%)

sample2.3s (43.6%)

preprocess44.0ms (0.9%)

explain133.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.2%)

localize40.0ms (0.8%)

series1.0ms (0%)

rewrite258.0ms (4.9%)

simplify100.0ms (1.9%)

eval17.0ms (0.3%)

prune53.0ms (1%)

simplify9.0ms (0.2%)

localize85.0ms (1.6%)

series256.0ms (4.9%)

rewrite183.0ms (3.5%)

simplify182.0ms (3.5%)

eval101.0ms (1.9%)

prune51.0ms (1%)

simplify8.0ms (0.2%)

localize128.0ms (2.5%)

series5.0ms (0.1%)

rewrite107.0ms (2.1%)

simplify113.0ms (2.2%)

eval74.0ms (1.4%)

prune36.0ms (0.7%)

simplify7.0ms (0.1%)

localize30.0ms (0.6%)

series8.0ms (0.1%)

rewrite104.0ms (2%)

simplify108.0ms (2.1%)

eval16.0ms (0.3%)

prune23.0ms (0.4%)

regimes14.0ms (0.3%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes10.0ms (0.2%)

regimes2.0ms (0%)

simplify2.0ms (0%)

soundness509.0ms (9.7%)

preprocess89.0ms (1.7%)

end0.0ms (0%)

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