Metrics for Expanding a square

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions

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

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

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

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

ival-mult: 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)

sample985.0ms (28.6%)

Results

615.0ms	3975×	1	valid
175.0ms	4281×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 318.0ms

ival-mult: 94.0ms (29.6% of total)

ival-add: 80.0ms (25.2% of total)

ival-sub: 76.0ms (23.9% of total)

backward-pass: 46.0ms (14.5% of total)

ival-true: 9.0ms (2.8% of total)

ival-assert: 7.0ms (2.2% of total)

const: 6.0ms (1.9% of total)

Bogosity

preprocess335.0ms (9.7%)

Algorithm

1×	egg-herbie

Rules

3207×	`fmm-def`
1038×	`unsub-neg`
503×	`distribute-neg-in`
426×	`sub-neg`
304×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	128
1	51	108
2	146	88
3	488	76
4	2177	76
5	3786	76
6	4927	76
7	5774	76
8	6199	76
9	6439	76
10	6442	76
11	6442	76
12	6563	76
13	6650	76
14	6823	76
15	6823	76

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 0 binary64)))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 0 binary64)))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
(neg.f64 (-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 2 binary64) x)))
(*.f64 x (-.f64 #s(literal 2 binary64) x))

explain84.0ms (2.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
102	-	-	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`	cancellation	102	0

Confusion

	Predicted +	Predicted -
+	102	0
-	0	154

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	102	0	0
-	0	0	154

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	154
1	102

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

21.0ms	202×	1	valid
20.0ms	310×	0	valid

Compiler

Compiled 68 to 24 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sub: 6.0ms (28.2% of total)

ival-mult: 6.0ms (28.2% of total)

ival-add: 5.0ms (23.5% of total)

backward-pass: 3.0ms (14.1% of total)

ival-true: 1.0ms (4.7% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 21 to 11 computations (47.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`fma-define`
2×	`*-commutative`
2×	`distribute-rgt-in`
2×	`distribute-lft-in`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	15	34
2	20	34
3	22	34

Stop Event

1×

saturated

Calls

Call 1

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

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

localize21.0ms (0.6%)

Localize:

Found 2 expressions of interest:

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

Results

15.0ms

256×

valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

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

ival-add: 2.0ms (43.4% of total)

ival-mult: 2.0ms (43.4% 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)

series2.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite198.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

396×	`log1p-expm1-u`
396×	`expm1-log1p-u`
377×	`add-exp-log`
366×	`add-log-exp`
364×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	83	29
2	1086	29

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

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

simplify89.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

520×	`fma-define`
487×	`fmm-def`
482×	`unswap-sqr`
398×	`distribute-lft-in`
393×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	261	3252
1	518	3138
2	1347	2955
3	5537	2943

Stop Event

1×	node limit

Counts

125 → 150

Calls

Call 1

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

Outputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
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(*.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -4 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -4 binary64)) (+.f64 x #s(literal -2 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (fma.f64 x x #s(literal -4 binary64)) (+.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -4 binary64))) (neg.f64 (+.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -4 binary64)) (+.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -4 binary64)) (+.f64 x #s(literal -2 binary64)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (cbrt.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 x #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (cbrt.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) x))))
(/.f64 (cbrt.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -4 binary64)))) (cbrt.f64 (+.f64 x #s(literal -2 binary64))))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x #s(literal -4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 x #s(literal -2 binary64))))
(pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 2 binary64) x)
(pow.f64 (cbrt.f64 (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(+.f64 #s(literal 2 binary64) x)
(pow.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 2 binary64) x)
(pow.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 2 binary64) x)
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) x)
(pow.f64 (E.f64) (log.f64 (+.f64 x #s(literal 2 binary64))))
(pow.f64 (E.f64) (log.f64 (+.f64 #s(literal 2 binary64) x)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))
(pow.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -4 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -4 binary64)) (+.f64 x #s(literal -2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (+.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (log.f64 (+.f64 #s(literal 2 binary64) x))))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) x)
(log.f64 (exp.f64 (+.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) x)
(cbrt.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 #s(literal 2 binary64) x)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) (+.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) x)
(log1p.f64 (expm1.f64 (+.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) x)
(exp.f64 (log.f64 (+.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(+.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) x)
(fma.f64 x #s(literal 1 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal 1 binary64) x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) x)

eval17.0ms (0.5%)

Compiler: Compiled 1865 to 463 computations (75.2% saved)

prune17.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	146	4	150
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	146	5	151

Accuracy

100.0%

Counts

151 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
✓	100.0%	(*.f64 x (+.f64 x #s(literal 2 binary64)))
▶	99.9%	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
▶	59.7%	(*.f64 x x)
▶	41.9%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 33 to 21 computations (36.4% saved)

simplify157.0ms (4.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	6400	(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	384	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	384	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))

Rules

1510×	`fma-define`
1097×	`distribute-lft-in`
866×	`cube-div`
749×	`cube-prod`
374×	`swap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	182
1	37	182
2	76	137
3	173	137
4	220	137
5	396	137
6	1692	137
7	2492	137
8	3203	137
9	3717	137
10	4888	137
11	5517	137
12	5788	137
13	6002	137
14	6187	137
15	6362	137

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 x x)
x
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) x)
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
x
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

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

localize53.0ms (1.5%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))

Results

37.0ms

256×

valid

Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 8.0ms (39.4% of total)

ival-div: 7.0ms (34.5% of total)

ival-fma: 3.0ms (14.8% of total)

ival-add: 1.0ms (4.9% 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)

series5.0ms (0.1%)

Counts

7 → 72

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x 2)
0.0ms	x	@	-inf	(* x (* x (+ 1 (* 2 (/ 1 x)))))
0.0ms	x	@	0	(* x x)
0.0ms	x	@	0	(* x 2)
0.0ms	x	@	-inf	(* x 2)

rewrite129.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`log1p-expm1-u`
951×	`expm1-log1p-u`
645×	`prod-diff`
446×	`fma-define`
140×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	126
1	217	121
2	2781	120

Stop Event

1×	node limit

Counts

7 → 240

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))

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

simplify114.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

560×	`fma-define`
326×	`times-frac`
322×	`distribute-lft-in`
310×	`distribute-rgt-in`
310×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	435	6068
1	876	5696
2	2593	5463

Stop Event

1×	node limit

Counts

312 → 299

Calls

Call 1

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

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

eval39.0ms (1.1%)

Compiler: Compiled 4091 to 840 computations (79.5% saved)

prune35.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	315	1	316
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	316	5	321

Accuracy

100.0%

Counts

321 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
✓	100.0%	(*.f64 x (+.f64 x #s(literal 2 binary64)))
▶	99.9%	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
✓	59.7%	(*.f64 x x)
✓	41.9%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify163.0ms (4.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	cost-diff	256	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
✓	cost-diff	256	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))

Rules

852×	`distribute-lft-in`
844×	`distribute-rgt-in`
710×	`cube-prod`
629×	`swap-sqr`
601×	`cube-div`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	91
1	28	91
2	59	89
3	129	61
4	179	61
5	205	61
6	367	61
7	1579	61
8	2321	61
9	2911	61
10	3424	61
11	4475	61
12	6983	61
13	7561	61
14	7826	61

Stop Event

1×	node limit

Calls

Call 1

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

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

localize27.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
✓	accuracy	99.9%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))

Results

16.0ms

256×

valid

Compiler

Compiled 30 to 9 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (38.9% of total)

ival-div: 2.0ms (25.9% of total)

ival-add: 1.0ms (13% 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)

series1.0ms (0%)

Counts

4 → 36

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x (* x (+ 1 (/ 2 x))))
0.0ms	x	@	-inf	(* x (* x (+ 1 (/ 2 x))))
0.0ms	x	@	0	(* x (* x (+ 1 (/ 2 x))))
0.0ms	x	@	inf	(* x (+ 1 (/ 2 x)))
0.0ms	x	@	-inf	(* x (+ 1 (/ 2 x)))

rewrite104.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`log1p-expm1-u`
653×	`expm1-log1p-u`
629×	`unpow-prod-down`
339×	`log-prod`
297×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	85
1	136	82
2	1866	81

Stop Event

1×	node limit

Counts

4 → 233

Calls

Call 1

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

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

simplify121.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

793×	`times-frac`
404×	`distribute-lft-in`
367×	`distribute-rgt-in`
279×	`unswap-sqr`
277×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	6249
1	1039	5915
2	2926	5886

Stop Event

1×	node limit

Counts

269 → 308

Calls

Call 1

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

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

eval42.0ms (1.2%)

Compiler: Compiled 4879 to 1130 computations (76.8% saved)

prune32.0ms (0.9%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	308	0	308
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	308	5	313

Accuracy

100.0%

Counts

313 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
✓	100.0%	(*.f64 x (+.f64 x #s(literal 2 binary64)))
✓	99.9%	(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
✓	59.7%	(*.f64 x x)
✓	41.9%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 78 to 40 computations (48.7% saved)

regimes11.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
3.0ms	x
2.0ms	(+.f64 x #s(literal 1 binary64))
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

Results

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes9.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
2.0ms	(+.f64 x #s(literal 1 binary64))
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
2.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

Results

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
97.0%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
41.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch20.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.8628416027427358	33.41790409562235
10.0ms	-11940.311699276192	-1.4537043371282667

Results

10.0ms

240×

valid

Compiler

Compiled 165 to 114 computations (30.9% saved)

Precisions

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

ival-mult: 2.0ms (40.5% of total)

ival-sub: 1.0ms (20.2% of total)

ival-add: 1.0ms (20.2% 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)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`
2×	`if-if-or-not`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	107
1	28	107

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -2 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)) (*.f64 x x)))
(*.f64 x #s(literal 2 binary64))

Outputs
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -2 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)) (*.f64 x x)))
(if (or (<=.f64 x #s(literal -2 binary64)) (not (<=.f64 x #s(literal 2 binary64)))) (.f64 x x) (.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))

soundness526.0ms (15.3%)

Rules

3207×	`fmm-def`
1038×	`unsub-neg`
503×	`distribute-neg-in`
426×	`sub-neg`
396×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	83	29
2	1086	29
0	15	128
1	51	108
2	146	88
3	488	76
4	2177	76
5	3786	76
6	4927	76
7	5774	76
8	6199	76
9	6439	76
10	6442	76
11	6442	76
12	6563	76
13	6650	76
14	6823	76
15	6823	76

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 120 to 43 computations (64.2% saved)

preprocess91.0ms (2.6%)

Compiler: Compiled 80 to 36 computations (55% saved)

Expanding a square

analyze0.0ms (0%)

sample985.0ms (28.6%)

preprocess335.0ms (9.7%)

explain84.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.2%)

localize21.0ms (0.6%)

series2.0ms (0.1%)

rewrite198.0ms (5.7%)

simplify89.0ms (2.6%)

eval17.0ms (0.5%)

prune17.0ms (0.5%)

simplify157.0ms (4.6%)

localize53.0ms (1.5%)

series5.0ms (0.1%)

rewrite129.0ms (3.7%)

simplify114.0ms (3.3%)

eval39.0ms (1.1%)

prune35.0ms (1%)

simplify163.0ms (4.7%)

localize27.0ms (0.8%)

series1.0ms (0%)

rewrite104.0ms (3%)

simplify121.0ms (3.5%)

eval42.0ms (1.2%)

prune32.0ms (0.9%)

regimes11.0ms (0.3%)

regimes9.0ms (0.3%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch20.0ms (0.6%)

simplify2.0ms (0.1%)

soundness526.0ms (15.3%)

preprocess91.0ms (2.6%)

end0.0ms (0%)

Profiling